Timing

Timing

Module: Timing

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in Timing

NIICore DynamicCanal StreamCompression HachimojiPipeline NIICore_SurfaceDriver SSMS ManifoldFlow HutterPrizeISA

Summary: | Property | Value | |---|---|


TMMCP.Compression

TMMCP.Compression

Module: TMMCP.Compression

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TMMCP.Compression

Summary: | Property | Value | |---|---|


TMMCP.Core

TMMCP.Core

Module: TMMCP.Core

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TMMCP.Core

Summary: | Property | Value | |---|---|


TMMCP.Routing

TMMCP.Routing

Module: TMMCP.Routing

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TMMCP.Routing

Summary: | Property | Value | |---|---|


TMMCP.Verification

TMMCP.Verification

Module: TMMCP.Verification

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TMMCP.Verification

Summary: | Property | Value | |---|---|


TopologicalAwareness

TopologicalAwareness

Module: TopologicalAwareness

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologicalAwareness

Summary: | Property | Value | |---|---|


TopologicalPersistence

TopologicalPersistence

Module: TopologicalPersistence

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologicalPersistence

Summary: | Property | Value | |---|---|


TopologyDlessScalar

TopologyDlessScalar

Module: TopologyDlessScalar

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyDlessScalar

Summary: | Property | Value | |---|---|


TopologyDomainAlignment

TopologyDomainAlignment

Module: TopologyDomainAlignment

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyDomainAlignment

Summary: | Property | Value | |---|---|


TopologyFractalEncoding

TopologyFractalEncoding

Module: TopologyFractalEncoding

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyFractalEncoding

Summary: | Property | Value | |---|---|


TopologyGoldenSpiral

TopologyGoldenSpiral

Module: TopologyGoldenSpiral

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyGoldenSpiral

Summary: | Property | Value | |---|---|


TopologyNode

TopologyNode

Module: TopologyNode

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyNode

Summary: | Property | Value | |---|---|


TopologyOptimization

TopologyOptimization

Module: TopologyOptimization

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyOptimization

Summary: | Property | Value | |---|---|


TopologyPhinary

TopologyPhinary

Module: TopologyPhinary

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyPhinary

Summary: | Property | Value | |---|---|


TopologyResilience

TopologyResilience

Module: TopologyResilience

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TopologyResilience

Summary: | Property | Value | |---|---|


TorsionalPIST

TorsionalPIST

Module: TorsionalPIST

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TorsionalPIST

FixedPoint Quaternion DynamicCanal AMMR Testing_TorsionalTest Adaptation NetworkRAM CognitiveMorphemics

Summary: | Property | Value | |---|---|


Transition

Transition

Module: Transition

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in Transition

Summary: | Property | Value | |---|---|


TriangleManifold

TriangleManifold

Module: TriangleManifold

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TriangleManifold

Summary: | Property | Value | |---|---|


TriumvirateEnforcer

TriumvirateEnforcer

Module: TriumvirateEnforcer

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TriumvirateEnforcer

Summary: | Property | Value | |---|---|


TrophicCascadeMetaprobe

TrophicCascadeMetaprobe

Module: TrophicCascadeMetaprobe

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TrophicCascadeMetaprobe

Summary: | Property | Value | |---|---|


TSMEfficiency

TSMEfficiency

Module: TSMEfficiency

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in TSMEfficiency

Summary: | Property | Value | |---|---|


UnifiedConvictionFlow

UnifiedConvictionFlow

Module: UnifiedConvictionFlow

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in UnifiedConvictionFlow

Summary: | Property | Value | |---|---|


UnifiedDomainTheory

UnifiedDomainTheory

Module: UnifiedDomainTheory

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in UnifiedDomainTheory

Summary: | Property | Value | |---|---|


UnifiedSchema

UnifiedSchema

Module: UnifiedSchema

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in UnifiedSchema

Summary: | Property | Value | |---|---|


UnitConversion

UnitConversion

Module: UnitConversion

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in UnitConversion

Summary: | Property | Value | |---|---|


UniversalCoupling

UniversalCoupling

Module: UniversalCoupling

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in UniversalCoupling

Summary: | Property | Value | |---|---|


UniversalField

UniversalField

Module: UniversalField

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in UniversalField

Summary: | Property | Value | |---|---|


Universality

Universality

Module: Universality

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in Universality

Substrate Protocol ScalarCollapse Constitution Witness

Summary: | Property | Value | |---|---|


USBProbe

USBProbe

Module: USBProbe

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in USBProbe

Summary: | Property | Value | |---|---|


VecState

VecState

Module: VecState

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in VecState

FixedPoint AVMR ShellModel Spectrum GeneticCode

Summary: | Property | Value | |---|---|


VideoPhysics

VideoPhysics

Module: VideoPhysics

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in VideoPhysics

Summary: | Property | Value | |---|---|


VirtualGPUTopology

VirtualGPUTopology

Module: VirtualGPUTopology

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in VirtualGPUTopology

Summary: | Property | Value | |---|---|


VirtualWarpMetric

VirtualWarpMetric

Module: VirtualWarpMetric

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in VirtualWarpMetric

FixedPoint ManifoldStructures MasterEquation HybridTSMPISTTorus

Summary: | Property | Value | |---|---|


VLsIPartition

VLsIPartition

Module: VLsIPartition

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in VLsIPartition

Summary: | Property | Value | |---|---|


VoxelEncoding

VoxelEncoding

Module: VoxelEncoding

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in VoxelEncoding

Summary: | Property | Value | |---|---|


WaveformWaveprobePipeline

WaveformWaveprobePipeline

Module: WaveformWaveprobePipeline

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WaveformWaveprobePipeline

Summary: | Property | Value | |---|---|


WavefrontEmitter

WavefrontEmitter

Module: WavefrontEmitter

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WavefrontEmitter

Summary: | Property | Value | |---|---|


Waveprobe

Waveprobe

Module: Waveprobe

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in Waveprobe

Summary: | Property | Value | |---|---|


WebInteractionSurface

WebInteractionSurface

Module: WebInteractionSurface

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WebInteractionSurface

Summary: | Property | Value | |---|---|


WebRTCWaveformSync

WebRTCWaveformSync

Module: WebRTCWaveformSync

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WebRTCWaveformSync

Summary: | Property | Value | |---|---|


WitnessGrammar

WitnessGrammar

Module: WitnessGrammar

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WitnessGrammar

FixedPoint SigmaGate CoulombComplexity Bind

Summary: | Property | Value | |---|---|


Witness

Witness

Module: Witness

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in Witness

Path Evolution Universality ScalarCollapse Constitution

Summary: | Property | Value | |---|---|


WormholeMetaprobe

WormholeMetaprobe

Module: WormholeMetaprobe

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WormholeMetaprobe

Summary: | Property | Value | |---|---|


WSMConcrete

WSMConcrete

Module: WSMConcrete

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WSMConcrete

Summary: | Property | Value | |---|---|


WSM_WR_EGS_WC

Module: WSM_WR_EGS_WC

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in WSM_WR_EGS_WC

Summary: | Property | Value | |---|---|


YangMillsCompressionBounds

YangMillsCompressionBounds

Module: YangMillsCompressionBounds

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in YangMillsCompressionBounds

Summary: | Property | Value | |---|---|


YangMillsCompression

YangMillsCompression

Module: YangMillsCompression

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in YangMillsCompression

Summary: | Property | Value | |---|---|


YangMillsLattice

YangMillsLattice

Module: YangMillsLattice

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in YangMillsLattice

Summary: | Property | Value | |---|---|


YangMillsLatticeSizing

YangMillsLatticeSizing

Module: YangMillsLatticeSizing

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in YangMillsLatticeSizing

Summary: | Property | Value | |---|---|


YangMillsPerformance

YangMillsPerformance

Module: YangMillsPerformance

Attributes

Section: Attributes

Imports

Section: Imports

Imported by

Section: Imported by

Tags

Section: Tags

Semantics

Identifier in YangMillsPerformance

Summary: | Property | Value | |---|---|


Research Stack Mathematical Claim Registry

Claim Registry

Single source of truth for tracked mathematical claims and their rigor level, validated against claims-registry.schema.json

Claim Status Ladder

Four-tier rigor: conjecture → verified-by-ai → formally-proven → published

prime-gap-entropy-collapse

Claim that the prime-gap entropy-collapse detector rarely survives the corrected K=21 selective braid threshold

DeepSeek Review Receipt

Machine-readable attestation of LLM review with prompt hash, answer hash, model, and token usage

Math-First Contract

Every math claim must be backed by Lean proof or DeepSeek review receipt before promotion

Summary: Tracks every mathematical claim in the stack with its rigor level, Lean proof reference, and DeepSeek review receipts. Validated by CI against the claims-registry JSON Schema.


Vocabulary Lock: Sovereign Stack / Bodega Kernel

Equation Forest

A DAG of mathematical models and their dependencies (Semantics.Forest)

12 foundation kernel signatures including Shannon, Carnot, Landauer (Semantics.Foundations)

DIAT

Dynamic Integer-Address Transform — shell coordinate transform (Semantics.DIAT)

Shell/Topological Codec for energy cell quantization (Semantics.S3C)

AVMR

Adaptive Vector Manifest Roll-up — hierarchical summary (Semantics.AVMR)

NUVMAP

Non-Uniform Variable Mapping — 2D spectral projection (Semantics.NUVMATH)

FNWH

Formal Non-Wave Harmonic — the underlying framework (Semantics.FNWH)

PIST

Perfectly Imperfect Square Theory — witness/audit surface (Semantics.PIST)

FAMM

Frustration-Aware Manifold Management — memory/route manager (Semantics.FAMM)

18-bit address space with 6 bins × 3 bits (Semantics.Genome18)

Q16.16 Fixed Point

All arithmetic in Lean and Verilog must match bit-exactly using Q16_16

S3C Shells

Energy cells must be quantized to n² + m integer shells before routing

TREE(3) Bound

All recursive lookups in BHOCS must carry a witness of finiteness

PIST Witness

Witness format: {event_id, proof_hash, signature, energy_cell} with attest(witness) → bool

NUVMAP Encoding

Spectral state vector → U/V coordinates → Q^T·A projection with ε_tol failure mode

Summary: Canonical vocabulary lock defining 10 core terms (Equation Forest through Genome18), interface signatures for NUVMAP and PIST, and implementation constraints including Q16.16 bit-exactness and TREE(3) finiteness witnesses.


REBASE RULES — Research Stack Agent / Rules Manifest

Rebase Seed

Port contracts and rituals, not state — the principle for standing up new project maps

Core Operating Contracts

The 8 AGENTS.md files that are the source of truth for every agent, skill, and editor hook

Programming Choice Flow

Decision tree: Lean owns decisions, Python owns I/O, AVMIsa.Emit is sole receipt boundary

ContextStream-First Workflow

Every editor must call init() then context() before any file search or edit

Cornfield Recovery Manifest

19 archived concepts recoverable via explicit RECOVER LEGACY INFORMATION trigger

SilverSight Port

Port manifest for cornfield concepts: P0 critical (Φ universal field equation) through LOW priority

Minimal Rebase Checklist

9-step checklist for standing up a new project map from contracts

MCP Server Inventory

11 MCP servers: contextstream, filesystem, git, fetch, lean, remote-lean-proof, sympy, wolfram-alpha, aws, github, headroom

Skills Inventory

8 must-port skills: lean-proof, contextstream-workflow, research-stack-workflow, headroom, cad, urdf, rrc-compile, rrc-scale-analysis

Do-Not-Port List

Items explicitly dropped: consolidation manifests, runtime DBs, stale audits, copilot state block

Summary: Defines what to port when starting a fresh project map: core contracts, editor configs, skills, MCP servers. Includes cornfield recovery manifest with 19 archived concepts and their port priorities.


Research Stack (OTOM)

Research Stack

Formal-methods and compression research repository for integer-routed symbolic systems, Omindirection logogram atoms, and the Rainbow Raccoon Compiler

OTOM

The overarching framework name for the Research Stack project

STARS

STAbility-driven Recurrent Scaling for looped models — regularizes spectral radius of Jacobian

Differentiable IPM

Differentiable primal-dual interior-point method with softplus retraction for fixed-point arithmetic

Polydisperse Hard Spheres

Close packing, fractionation, and terminal polydispersity ~14% — maps to 1/7 Sidon threshold

Vortex-Glass Phase

Granular superconductor vortex-glass theory with Bragg-glass to vortex-glass transitions

BWT Compressiveness

Burrows-Wheeler transform and bijective BWT compressiveness analysis

Poincaré Embeddings

Hyperbolic Poincaré ball embeddings for hierarchical representation learning

ANS

Asymmetric Numeral Systems — single-state entropy coding alternative to arithmetic coding

MDL Principle

Minimum Description Length — model selection via code-length minimization

Information Bottleneck

Deep learning and the information bottleneck principle for neural networks

Zipf's Law

Word frequency law in natural language — critical review of theories

Hachimoji DNA

8-base synthetic DNA with 3 bits/base — formalized in ExpandedGeneticAlphabetProbe.lean

Language Modeling Is Compression

Chinchilla 70B compresses ImageNet to 43.4% — LLMs as compressors

AngrySphinx

Lattice-based PQC primitive with exponential energy asymmetry and NaN boundary

Summary: CFF citation manifest for the Research Stack project. References 50+ papers across hard-sphere packing, vortex-glass superconductors, information theory, compression (ANS/BWT/MDL), genetic code, PQC, and LLM geometry.


AlphaFold Bulk Structure Database Prior Sources

AlphaFold Protein Structure Database

EMBL-EBI/Google DeepMind predicted protein structure corpus — external source, not vendored

AlphaFold Bulk Download

FTP bulk archive source for explicit receipted ingest only

AlphaFold Paper

Jumper et al. 2021 Nature — required citation for UniProt AlphaFold predictions

Summary: Provenance manifest for AlphaFold-derived structure priors. Cites the AlphaFold DB downloads, FTP area, and original Nature 2021 paper. Data is not vendored.


DNA Codec Filter Sources

DNA Codec Filter

Local codec using analogy-bound synthetic binding score — not biological sequence data

seqLogo

Bioconductor sequence-logo information-content reference surface

Nearest-Neighbor Thermodynamics

SantaLucia unified DNA thermodynamics — reference surface only

DNA Replication Fidelity

Layered fidelity and proofreading framing — receipt-layer analogy only

Drake-Rule Mutation Rate

Per-token receipt-budget analogy from mutation-rate scaling

Worm-like Chain

Replay-curvature analogy reference — no polymer simulation claimed

Summary: Provenance manifest for the DNA codec filter. Cites seqLogo, nearest-neighbor thermodynamics, replication fidelity, and worm-like chain as reference surfaces. All biological references are analogy-bound only.


Kaggle Algorithm Density Marker Prior Sources

Ubiquant Dtype Reduction

Kaggle notebook for chunked dtype reduction — external design-prior surface only

Ubiquant Parquet Loading

Rob Mulla's Parquet columnar loading pattern — external design-prior

Santa 2022 Pixel Travel Map

Kaggle pixel travel map notebook — external design-prior

Mercedes Autoencoder Compression

Neural autoencoder feature compression — external design-prior

AIMO3 Speculative Decoding

Speculative decoding and context-compression appliance — external design-prior

Summary: Provenance manifest for Kaggle-derived density-prior notes. Cites 5 Kaggle notebooks as external design-prior surfaces. No code vendored; licenses must be verified before copying.


Language, Mathematics, Genetics, and Information Theory Paper Sources

Hachimoji DNA

8-base synthetic DNA with 3 bits/base (Hoshika 2019 Science)

12-Letter Supernumerary DNA

12-letter DNA as canonical structural maximum (Kawabe 2023 Nature Comms)

Genetic Code Optimality

Standard genetic code ~10^6 times better than random at error minimization (Freeland & Hurst 1998)

DNA Information Storage

Church 2012: 5.27-megabit book in DNA; Goldman 2013: 739KB with 100% reconstruction

Information Bottleneck

Tishby & Zaslavsky 2015: information bottleneck principle applied to deep neural networks

ANS Optimality

Proves ANS optimality for distributions described by natural powers of 1/2 (Pieprzyk 2023)

Compound PCFG

Compound probabilistic context-free grammars for grammar induction (Kim 2019 ACL)

MDL Principle

Minimum Description Length — model selection via code-length minimization (Grunwald 2020)

Language Modeling Is Compression

Chinchilla 70B compresses ImageNet to 43.4% (Deletang 2024 ICLR)

Poincaré Embeddings

Hyperbolic ball embeddings for hierarchical representations (Nickel & Kiela 2017 NeurIPS)

Universal Geometry of Embeddings

Universal latent representation translation across embedding spaces (Jha 2025)

Hyperbolic LLMs

Survey of hyperbolic geometry in LLMs (Patil 2025)

BWT Compressiveness

BWT and bijective BWT compressiveness analysis (Bannai 2024)

CAT Transformer

Compress & Attend Transformer for controllably efficient language models (Prakash 2025)

Summary: Comprehensive provenance manifest covering 25+ papers on expanded genetic alphabets, DNA information storage, information bottleneck, ANS compression, grammar induction, MDL, language modeling as compression, and hyperbolic geometry.


N-Space Bulk Dataset Route Sources

Gaia DR3

ESA astronomy dataset for galactic phase-space density matrices — external source

ERA5 Reanalysis

ECMWF climate reanalysis for spatio-temporal grid manifolds — external source

Semantic embedding and image-text metadata source — external, license-sensitive

AlphaFold DB

Predicted protein structure source (CC-BY-4.0) — external

NCBI/GenBank

Biological sequence sources in ASN.1 and GenBank flatfile formats — external

The Well

Polymathic AI physics-dynamics source for uniform-grid scalar/vector/tensor fields — external

PDEBench

Canonical PDE benchmark surface — external, requires citation verification

MeshGraphNets

Google DeepMind irregular-mesh simulation for graph-topology route tests — external

SRBench

Symbolic-regression benchmark datasets including black-box and ground-truth tasks — external

DLMF/Feynman SR

NIST special-function and physics-equation reference prior — external

LeanDojo/mathlib

Formal theorem-proving and mathlib extraction prior — local Lean replay is proof boundary

NuminaMath

Mathematical reasoning dataset/model collection — proposal-generation curriculum only

Summary: Provenance manifest for 12 external bulk datasets used as route priors: Gaia, ERA5, LAION-5B, AlphaFold, NCBI, The Well, PDEBench, MeshGraphNets, SRBench, DLMF, LeanDojo, NuminaMath. None vendored.


Prethinker Computational Epistemics Prior Sources

Prethinker

External architecture source for governed semantic intake — LLM proposals, deterministic admission, semantic lenses

Semantic Instrument

Prethinker's semantic instrument specification — reference surface only

Multi-Pass Semantic Compiler

Prethinker's multi-pass compiler architecture — reference surface only

Semantic IR Mapper

Prethinker's IR mapper specification — reference surface only

Current Harness Instrument

Prethinker's harness instrument spec — reference surface only

Selector Guards

Deterministic admission guards from Prethinker architecture

Semantic Lenses

Governing lenses for semantic intake from Prethinker

Summary: Provenance manifest for the Prethinker computational-epistemics prior. Treats Prethinker as architecture source for governed semantic intake: LLM proposals, deterministic mapper admission, semantic lenses, and selector guards. License unknown.


Weather Systems Math Prior Sources

IFS Documentation

ECMWF Integrated Forecasting System — primitive-equation dynamics reference surface

ECMWF reanalysis and assimilation route priors — external reference surface

Numerical Weather Prediction

NOAA NWP data-family routing reference surface

NOAA finite-volume cubed-sphere dynamical core — conservation and layered dynamics reference

Primitive Equations

Atmospheric primitive-equation dynamics used as math prior framing

Summary: Provenance manifest for weather systems math prior. Cites IFS, ERA5, NWP, and FV3 as reference surfaces for atmospheric modeling. Only tiny synthetic fixtures used locally.


Research Stack Mathematical Claim Registry Schema

Claims Registry Schema

JSON Schema for claims.yaml — tracks rigor level of every mathematical claim

Claim Status Enum

Four-tier status: conjecture, verified-by-ai, formally-proven, published

Review Receipt Requirement

verified-by-ai claims must have at least one review_receipts entry

Lean Source Requirement

formally-proven claims must have a lean source reference

Kebab-Case ID Pattern

Claim IDs must match ^[a-z0-9][a-z0-9-]*$ — stable across renames

Summary: JSON Schema validating claims.yaml. Enforces four-tier rigor ladder, requires review receipts for AI-verified claims, Lean source for formally proven claims, and kebab-case stable IDs.


DeepSeek Review Receipt Schema

DeepSeek Review Receipt Schema

JSON Schema for Ollama-compatible DeepSeek review receipts with SHA-256 pinning

Primary Receipt

First receipt pinning context files used to build the review prompt

Continuation Receipt

Receipt for truncated reviews continued by separate requests

SHA-256 Pinning

prompt_sha256 and answer_sha256 fields enable re-validation without re-running the model

Context Files

Array of repo-relative paths to every file that participated in the review prompt

Token Usage

prompt_tokens, completion_tokens, total_tokens as reported by endpoint

Summary: JSON Schema for DeepSeek review receipts. Supports primary and continuation receipt types with SHA-256 pinning of prompts and answers, context file tracking, and token usage.


FAMM 16D Chaos Game Field Shrinker Receipt

16D Chaos Game Field Shrinker

Basis layer for 16-dimensional chaos game field shrinking with orbit hashing

Chaos Game Orbit

Iterated function system orbit in 16D with burn-in period and SHA-256 hash

Projection Axes

2-element array selecting which of 16 dimensions to project onto

No-Drift Boundary

String field ensuring receipt reproducibility — no numerical drift allowed

Route Recommendations

Array of routing suggestions derived from chaos game convergence

Summary: Schema for FAMM 16D chaos game field shrinker receipts. Tracks orbit SHA-256, projection axes, anchor counts, final state, and route recommendations with no-drift boundary.


FAMM Adversarial Duals Receipt

Anti-FAMM

Adversarial dual testing FAMM receipt aliasing and routing

Anti-BraidStorm

Adversarial dual testing Yang-Baxter invariance and braid-order aliasing

Warden Decision

String field encoding the Warden clock domain's adversarial verdict

NUVMAP Projection

NUVMAP object embedded in adversarial duals receipt

Summary: Schema for adversarial duals receipts. Tests both Anti-FAMM (receipt aliasing) and Anti-BraidStorm (Yang-Baxter invariance) with Warden decision gate.


FAMM Autonomous Speedrun Harness Receipt

Autonomous Speedrun Harness

Harness for autonomous scored experiments with source pattern tracking

Scored Experiments

Array of experiment results scored by the harness

Source Pattern

Optional string identifying the generation pattern for the speedrun

Summary: Schema for autonomous speedrun harness receipts. Tracks scored experiments, harness configuration, and source patterns with NUVMAP projection.


FAMM Builder-Judge-Warden Geodesic Cleanup Receipt

BJW Geodesic Cleanup

Builder-Judge-Warden three-clock cleanup with accepted geodesic and rejected moves

Accepted Geodesic

Array of accepted cleanup moves along the geodesic path

Rejected Moves

Array of moves rejected during BJW cleanup

Source Object Hash

SHA-256 of the object before cleanup

Final Object Hash

SHA-256 of the object after cleanup

Exact Receipt

Embedded exact receipt for the cleanup operation

Summary: Schema for BJW geodesic cleanup receipts. Records accepted geodesic path, rejected moves, source/final object hashes, and exact receipt with cleanup metrics.


FAMM BraidStorm Sidon Crossing Receipt

BraidStorm Sidon Crossing

8-strand braid topology with Sidon label assignment for collision-free crossing addresses

Sidon Labels

Powers of 2 (1,2,4,8,16,32,64,128) giving collision-free pairwise sums

Address Budget

Maximum label value available for Sidon set construction

Address Mode

String specifying how addresses are assigned (e.g., powers_of_2)

Capacity

Object tracking Sidon slack and label utilization

Validation

Object with crossing validation results

Summary: Schema for BraidStorm Sidon crossing receipts. Tracks strand count, address budget, Sidon labels (powers of 2), capacity, and crossing validation with NUVMAP projection.


FAMM Golden Braid Centering Receipt

Golden Braid Centering

Contraction toward eigensolid using φ⁻¹ = 0x00009E70 golden ratio

Golden Ratio φ

φ = (1+√5)/2 used for strand contraction centering

Inverse Phi

φ⁻¹ = 0x00009E70 in Q16_16 fixed-point representation

Center

Array of center coordinates for the braid contraction

Strand Receipts

Array of per-strand convergence receipts

Multi-Strand

Object tracking multi-strand convergence state

Summary: Schema for golden braid centering receipts. Tracks φ and φ⁻¹ in Q16_16, center coordinates, per-strand convergence, and multi-strand state for eigensolid contraction.


FAMM Hessian Curvature Receipt

Hessian Curvature

Lanczos-based Hessian eigenvalue computation for curvature analysis

Lanczos Iteration

K-step Lanczos algorithm computing top-k eigenvalues and Ritz residuals

Spectral Density

Gaussian-broadened spectral density estimate from eigenvalues

Trace Estimate

Stochastic trace estimate with standard error

Route Decision

Routing decision derived from Hessian spectral analysis

Basis Layer HESSIAN_EIGEN

Constant identifying this as a Hessian eigenvalue basis layer

Summary: Schema for Hessian curvature receipts. Records Lanczos eigenvalue computation, spectral density, trace estimates, and route decisions with no-drift boundary.


FAMM Logogram Chirality Witness

Logogram Chirality

Chirality witness for Omindirection logogram atoms with direction, handedness, and phase

Chirality Witness

Object with direction, handedness, phase, placement, and mode fields

Residual Policy

String policy governing residual handling for the logogram

Benefit Gate

Object gate determining if the logogram chirality provides benefit

Symbol ID

Unique identifier for the logogram symbol

Payload Hash

SHA-256 hash of the logogram payload

Summary: Schema for logogram chirality witnesses. Captures chirality direction/handedness/phase for Omindirection logogram atoms with residual policy and benefit gate.


FAMM MarkovJunior 16D Shim Receipt

MarkovJunior 16D Shim

MarkovJunior-style rewrite rules applied to 16D space with anchor points

Rewrite Rules

Array of rule objects for the MarkovJunior grammar

Anchors

Array of anchor point objects in 16D space

NUVMAP Projection

NUVMAP object embedded in the shim receipt

Summary: Schema for MarkovJunior 16D shim receipts. Records rewrite rules, anchor points in 16D space, and NUVMAP projection for grammar-based generation.


FAMM NUVMAP Delta-DAG Search Receipt

NUVMAP Delta-DAG Search

Delta-stream DAG search on NUVMAP projections with compression estimates

Delta Stream

SHA-256 of the delta-encoded stream for the DAG search

Compression Estimate

Object with compression ratio and method estimates

DAG

Directed acyclic graph object from the search

Problem Hash

SHA-256 of the problem instance

Route Rule Hash

SHA-256 of the routing rule applied

Projection Level

String identifying the NUVMAP projection level used

Summary: Schema for NUVMAP delta-DAG search receipts. Tracks problem/route-rule hashes, projection level, solution, compression estimates, and delta stream SHA-256.


FAMM Plasma Chiral Drag Witness Receipt

Plasma Chiral Drag

Chiral drag witness from plasma model with source model, inputs, and derived quantities

Source Model

String identifying the plasma model used (e.g., magneto-plasma)

Derived Quantities

Object with derived physical quantities from the plasma simulation

Packet

Object with the encoded packet representation

FAMM State

FAMM object embedded in the plasma witness receipt

Summary: Schema for plasma chiral drag witness receipts. Records source plasma model, input parameters, derived quantities, FAMM state, and encoded packet.


FAMM Semantic Mass Route Plow Receipt

Semantic Mass Route Plow

Route plowing through semantic mass with z-domain analysis and ranked routes

Basis Layers

Array of basis layer identifiers contributing to semantic mass

Mass Stream

Object with the semantic mass stream data

Z-Domain

Object with z-transform domain analysis of the mass stream

Ranked Routes

Array of route objects ranked by semantic mass

Closure Recommendation

Object with closure recommendation based on mass analysis

Residual Seal

Object sealing the residual after route plowing

Summary: Schema for semantic mass route plow receipts. Records basis layers, mass stream, z-domain analysis, ranked routes, closure recommendation, and residual seal.


FAMM Semantic Mass Z Receipt

Semantic Mass Z Transform

Z-transform analysis of semantic mass with AR coefficients and pole locations

AR Coefficients

Autoregressive model coefficients for the mass sequence

Poles

Array of pole objects from the z-transform analysis

Residual

Object with residual analysis after AR fitting

Route Decision

Routing decision derived from z-domain pole analysis

Basis Layer MASS_Z_ACCEL

Constant identifying this as a mass z-acceleration basis layer

Summary: Schema for semantic mass z-transform receipts. Records AR order, coefficients, poles, residual, and route decisions from z-domain analysis of semantic mass streams.


FAMM Sidon Map Receipt

Sidon Map

Receipt verifying a set is Sidon (all pairwise sums unique)

Sidon Set

Set of integers where all pairwise sums are distinct

Pair Sums

Array of pairwise sum objects from the set

Collisions

Array of collision objects (should be empty for valid Sidon sets)

Is Sidon

Boolean verification that no pairwise sum collisions exist

Summary: Schema for Sidon map receipts. Verifies a set has all unique pairwise sums, recording the set, pair sums, collisions, and is_sidon boolean gate.


MCP Server Configuration

MCP Configuration

Model Context Protocol client configuration for OpenCode in Research Stack

Filesystem MCP

Read/write proof artifacts, Lean kernels, and receipts

Git MCP

Git history navigation: diff, blame, log

Fetch MCP

HTTP fetch for docs, RFCs, release notes

ContextStream MCP

Persistent memory/context/search with workspace and project IDs

Lean MCP

Lean 4 / Mathlib typecheck bridge via lakefile

Remote Lean Proof MCP

Hermes/OpenCode/Codex proof backend via remote server

SymPy MCP

Symbolic verification of arithmetic claims

Wolfram Alpha MCP

Wolfram Alpha symbolic verification (requires WOLFRAM_APP_ID)

AWS MCP

AWS API access via boto3 credential chain

GitHub MCP

GitHub API via Copilot endpoint with PAT auth

Headroom MCP

Headroom token/context compression proxy

Google Drive MCP

Google Drive search, read, list files, calendar, docs, sheets

Summary: MCP client configuration defining 12 servers: filesystem, git, fetch, contextstream, lean, remote-lean-proof, sympy, wolfram-alpha, aws, github, headroom, and google-drive.


Research Stack Python Project Configuration

Research Stack Python Project

Python project definition with optional dependency groups for quantum, GPU, compute, DB, and pipeline

Quantum Dependencies

perceval-quandela, quimb, opt_einsum, cirq, qiskit, qiskit-aer

GPU Dependencies

wgpu for WebGPU compute

Compute Dependencies

ray, networkx, scipy, numpy for distributed and numerical compute

DB Dependencies

psycopg2, boto3, gremlinpython, pymysql for database access

Pipeline Dependencies

reedsolo, cryptography, highspy, requests, pandas, xxhash, pyserial for data pipeline

Summary: Python project configuration with 5 optional dependency groups: quantum (Perceval/Cirq/Qiskit), GPU (wgpu), compute (Ray/NetworkX/SciPy), DB (PostgreSQL/Gremlin), and pipeline (Reed-Solomon/HiGHS).


Research Stack Nix Flake — Dev Container + NixOS Topology

Nix Flake

Nix flake defining dev-container image and NixOS topology for Research Stack

Dev Container Image

Layered OCI image (research-stack-otom:latest) with Python, Lean, R, Sage, LaTeX, CAD tools

Python Environment

Python 3.11 with 40+ packages: AWS, PostgreSQL, FastAPI, BioPython, NetworkX, NumPy, SciPy, SymPy, Z3, Pandas, Polars, scikit-learn

R Environment

R with tidyverse, ggplot2, MASS, survival, knitr

Dev Packages

git, bash, ripgrep, jq, Node.js 20, elan (Lean 4), PostgreSQL 16, gnuplot, maxima, octave, sage, typst, texliveFull

Researcher User

Non-root user (UID 1000) with home at /home/researcher

NixOS 24.11

Pinned nixpkgs channel for reproducible builds

Summary: Nix flake building a layered OCI dev container with Python 3.11 (40+ packages), Lean 4 (elan), R (tidyverse), SageMath, LaTeX, gnuplot, and maxima. Defines researcher user and reproducible PATH.


Research Stack Containerfile (Alpine)

Alpine Container

Lightweight Alpine 3.19 container with bash, build-base, Node.js, Python 3

UV Package Manager

uv installed via pipx for fast Python package management

Researcher User

Non-root user (UID 1000) created with adduser

Python Venv

UV-managed Python 3.11.15 venv with biopython, networkx, pycryptodome, zstandard, z3-solver, PyWavelets

Summary: Alpine-based Containerfile for Research Stack. Installs bash, Node.js, Python 3, uv, creates researcher user, and sets up Python 3.11.15 venv with scientific packages.


Research Stack Pre-Commit Configuration

Pre-Commit Hooks

Math-first guardrails running on every commit: JSON/YAML validation, private key detection, schema validation

DeepSeek Receipt Schema Validation

Validates *.receipt.json against deepseek-review-receipt.schema.json

Claims Registry Schema Validation

Validates claims.yaml against claims-registry.schema.json and checks repo-relative paths exist

Receipt-Required-for-Math-Content

Requires DeepSeek receipt or Lean proof when math-track files are committed

Math-First Contract Enforcement

Commit-time enforcement that math content has backing evidence

Detect Private Key

Built-in hook preventing private keys from being committed

Summary: Pre-commit configuration with 6 hooks: JSON/YAML validation, trailing whitespace, private key detection, DeepSeek receipt schema validation, claims registry validation, and math-content evidence requirement.


Pyrochlore Sidon Receipt v2

Pyrochlore Sidon Analysis

S=1 tetrahedron with Sidon edge labels {3,5,9,6,10,12} — exact diagonalization spectrum

Sidon Edge Labels

Edge sums {3,5,9,6,10,12} with Sidon addresses {1,2,4,8} for tetrahedron

Exact S1 Spectrum

Ground state energy -4J, degeneracy 3, first excited gap 1J, specific heat max at T=0.317J

FAMM Scar Pressure

Scar equation tracking frustration: scar_ij(t+1) = γ·scar_ij(t) + |S_i·S_j + 0.5|₊ - κ·repair_ij(t)

Pist Color Classification

RRC shape classification: NoiseFloor at 10% closure, SignalShapedRouteCompiler at Cv max

S-Dependence Trend

Lower S → stronger quantum fluctuations → higher scar pressure → more frustrated

Material Comparison

KMMC S=5/2 (15% closure) vs NaCaNi₂F₇ S=1 (90% continuum) — Sidon prediction matches

Classical Limit

P(L) integral closure = 15% at L_c ≈ 1.09 — Sidon geometric bound

Thermodynamic Closure Fractions

5%, 10%, 15%, 20%, 25% closure fractions at corresponding T/J values

Summary: Pyrochlore tetrahedron exact diagonalization receipt with Sidon edge labels. Records S=1 spectrum, scar pressure equation, PIST color classification, material comparison (KMMC vs NaCaNi₂F₇), and S-dependence trend predicting >92% fluctuation for S=1/2.


Capability Probe Receipt (2026-06-21)

Capability Probe

9-probe receipt testing quantum, optimization, and compute slot availability

Photonic SLOs

Perceval-Quandela photonic simulation — BS probabilities verified

Bosonic Tensor Network

Quimb tensor network contraction — 2-tensor contraction verified

QAOA Cirq

Cirq quantum approximate optimization — 1-qubit simulation verified

QAOA Qiskit

Qiskit quantum simulation — 2 distinct outcomes verified

MIP HiGHS

HiGHS LP solver — obj=-6.0, x=[2.0,2.0] verified

Continuous SciPy

SciPy optimization — minimization verified

Graph NetworkX

NetworkX graph analysis — K_5 diameter=1 verified

GPU wgpu

WebGPU compute via wgpu — RTX 4070 SUPER Vulkan adapter detected

Tensor opt_einsum

Optimized tensor contraction — GEMM path verified

Directed Formulation Support

QAP recommended (asymmetric MIP via HiGHS), QAOA not recommended (symmetry loss)

perceval-quandela quimb cirq qiskit highspy scipy networkx wgpu opt_einsum

Summary: Capability probe receipt from 2026-06-21. All 9 probes functional: Perceval photonic SLOs, Quimb bosonic TN, Cirq/Qiskit QAOA, HiGHS MIP, SciPy optimization, NetworkX graphs, wgpu GPU (RTX 4070 SUPER), opt_einsum tensor contraction.


Braid DIAT Codec Benchmark

Braid DIAT Codec

Braid Dynamic Integer-Address Transform codec — 714.2 avg bytes, 0.029ms encode, 0.034ms decode

MessagePack Baseline

MessagePack baseline — 1747.8 avg bytes, 0.103ms encode, 0.002ms decode

Cap'n Proto Baseline

Cap'n Proto baseline — 29.0 avg bytes, 0.002ms encode, 0.0001ms decode

Codec Comparison

1000-frame benchmark: Braid DIAT is 2.45x smaller than MessagePack but 39x larger than Cap'n Proto

DIAT

Dynamic Integer-Address Transform — shell coordinate transform for codec encoding

Summary: 1000-frame benchmark comparing Braid DIAT codec against MessagePack and Cap'n Proto. DIAT achieves 2.45x compression over MessagePack (714 vs 1748 bytes) but Cap'n Proto is 24.6x smaller (29 bytes) with fastest encode/decode.


ENE Memory Atlas Spec

MemoryAtom

Addressable memory record carrying voxel key, manifold coordinates, concept vector, scalar field, cryptographic seal, and body references

Signed pure-fraction fixed-point in [-1,1] used for scalar field values at memory atoms

ManifoldPoint

MOIM Q8.8 five-dimensional identity point for concept addressing

ed25519 MMR

Cryptographic signing and Merkle Mountain Range attestation for memory atoms

BFT Trimvirate

Byzantine fault-tolerant quorum requiring ≥2 of 3 nodes (warden, judge, hutter)

Conformal factor warping search metric from chi, kappa, sigma, lambda, eta components

Three-lane (calculation, defense, verification) scalar projection of Q0_16 values

Summary: Defines the unified addressable memory surface for all LLMs in the stack, combining fractal hash, 5D manifold coordinates, signed Q0_16 scalar fields, and BFT attestation into a single MemoryAtom protocol.


ENE Hotswappable Plugin Architecture

Plugin Lifecycle

8-phase plugin lifecycle: discover, load, admit, scan, plan, commit, verify, unload

Plugin Manifest

JSON declaration of plugin ID, version, surfaces, capabilities, and entrypoint

TiddlyWiki Bridge

First frontline plugin that watches .tid files and upserts ENE packages per tiddler

Settlement Policy

Deterministic receipts for each write with dry-run mode and idempotent ingest

Summary: Defines a plugin architecture for ENE where new data surfaces can be attached, detached, audited, and upgraded without rewriting the core substrate, with TiddlyWiki as the first plugin.


Embedded Node Surface Specification

GCL nanokernel

Smallest executable transition unit that admits work, routes state, checks recovery, and emits receipts

Appliance Server Model

Node operated as a sealed function rather than a general-purpose stack

Builder/Warden/Judge phases

Topology phases (constructive, inhibitory, adjudication) carried by the node surface

Recovery Health Endpoint

Plain recovery endpoint available even if compressed API fails

GCL-Edge

Constrained edge node whose primary job is hosting the GCL nanokernel

Summary: Defines a reusable embedded surface for low-resource nodes using a GCL nanokernel, keeping only local machinery to join the atlas, expose minimal API, recover itself, and mount external state.


Drift Quarantine - Yang-Mills Spec

Quarantine Notice

Spec quarantined for drift-based claims not supported by evidence

Key invariant: Layer 3 can reduce transmission but does not make data smaller by itself

Corrected architecture equation: anchor_frequency × compressed_payload_size

Summary: Quarantined specification containing unsupported claims about Yang-Mills feasibility, with corrected framing that separates lossless compression from transmission avoidance.


DisplayPort × NVENC Texel Stream Specification

8K60 Texel Transport

DisplayPort 1.4a HBR3 carrying 8K@60Hz pseudo-frames with texel data

NVENC Multi-Session

8 concurrent H.265 encode sessions for parallel data lanes

FP16 Texel Packing

2 bytes per texel doubling throughput to 800M texels/sec

PIST(k,t) encoding

CUDA Core encoding PIST data into NUVMAP texel streams

Summary: Specifies 8K60 texel transport via DisplayPort 1.4a and NVENC hardware encoding, mapping soliton field parameters onto TMDS lanes with FP16 packing.


DP-RRC: Depth-Prefix Receipt Encoding

BraidReceipt

6-dimension receipt: crossing matrix C, Sidon slack σ, step count k, residuals ε_seq, write time t, scar absence ∅

BraidBracket

Structure with lower, upper, gap, kappa, phi, admissible fields from PhaseVec

Sidon Labels

Powers of 2 (1,2,4,8,16,32,64,128) as collision-free crossing addresses

DP-Expr Encoding

Dot-prefixed depth markers as alternative to parentheses for tree-structured receipt data

Lean theorem proving reconstruction from receipt is the definition of lossless compression

Summary: Defines depth-prefix encoding for RRC BraidReceipt structures using dot-prefixed depth markers, mapping the 6 receipt dimensions onto a compact tree-structured format.


Decoder-Facing Reconstruction Core

Reconstruction Core

Compressed representation that is not assembly but a decoder-facing reconstruction core

Validity Rule

Core valid only when Repair(Replay(K, Theta, Pi), R) == S and epsilon_byte = 0

Byte Law

|D| + |K| + |Theta| + |Pi| + |R| + |Receipts| < |S|

Interface Layers

Five layers: human surface, proposal surface, reconstruction core, receipt surface, output surface

ADMIT/HOLD/QUARANTINE

Three-state gate for compression admission decisions

Summary: Defines the interface boundary for the compressed core where validity is established by deterministic replay, residual repair, receipts, and byte-exact output rather than readability.


Continued Fraction Compression Adaptation

Continued Fraction Encoding

Rational values encoded as finite partial quotients for exact replay

CF Byte Law

B(partial_quotients) + B(residual) < B(original value)

Adaptable Math Surfaces

Fibonacci ratios, golden-angle sampling, fixed-point thresholds, and branch-cut ratios as CF candidates

evalCf

Replay recurrence for reconstructing numerator/denominator from partial quotients

Summary: Adapts ratio-heavy Research Stack math to exact continued-fraction carriers for compression, encoding rational values as compact integer streams with exact replay.


Chromatic Braid Field (CBF) Hardware Specification

CBF Pipeline

DIAT ∘ AMMR ∘ Bracket ∘ AVMR ∘ CMYK ∘ Rope/MIMO unified processing

DIATLeaf

Local tuple encoding with a, b, ab, a-b, residue, slot, parity, jitter

PhaseVec

Phase vector (x,y) from DIAT Lift operation

Bracket Step

Computes κ, φ, lower/upper/gap, admissibility from PhaseVec accumulation

CMYK Colorizer

Maps to coherence, modulation, yield, constraint channels

Summary: Unifies DIAT local tuple encoding, AMMR vector accumulation, bracket admissibility calculus, AVMR hierarchical strand aggregation, and CMYK channel decomposition into a single FPGA pipeline.


Burgers Harmonic Peeling — Witness Grammar Verification

FNWH

Field decompilation into witness grammars via peeling

Viscosity Stiffening

ν_eff = ν_0 (1 + Ω) trapping mechanism

Stiffening Factor

κ = 0.3547 (35.47%) global bound safety margin

Brillouin Bound

Gradient ceiling |∇u| ≤ ℏ k_max / m

Witness Grammar

Finite symbolic source code recovered from a field with carrier/texture roles

WitnessGrammar CoulombComplexity BHOCS FAMM

Summary: Maps Burgers toy equations to witness grammars, verifying viscosity stiffening, quantum pressure regularization, solidification, phonon draining, and Brillouin zone bounds.


Bernoulli Occupancy Receipt Math

Occupancy Frame

Generic finite slot system with n slots, k throws, s target occupancy

Birthday Problem Generalization

Shift from specific preselected slot to any slot having s hits

Expected Slot Formula

E[X_s] = n * C(k,s) * (1/n)^s * (1-1/n)^(k-s)

Collision Estimation

Estimating expected collisions, survivor buckets, and candidate reuse across finite slots

Summary: Generalizes birthday-problem/hash-collision math into a reusable receipt primitive for estimating expected collisions, survivor buckets, and candidate reuse across finite slots.


Canonical Specification for the Adaptive Virtual Machine (AVM)

AVM ISA

Lean-only instruction set with finite opcodes, finite value types, deterministic step/run semantics

Adapter Shims

Extraction/interop targets that encode/decode AVM programs but do not define semantics

Boundary Threshold

δ ∈ [0,1] controlling semantic stripping from language-specific to invariant roots

Float Prohibition

Float forbidden in AVM core and backends; only at external I/O boundary with immediate conversion

Q0_16 Default

Q0_16 as default for dimensionless scalars, Q16_16 only when range/precision forces it

Summary: Defines AVM as a Lean-only ISA with finite opcodes, deterministic semantics, fixed-point arithmetic, and adapter shims for Python/Rust/Verilog extraction targets.


Auto-Adaptive Metatyping System: Core Invariant Ruleset

Type Mass Conservation

MetaType mass = t·(2k+1-t) preserved under all lawful type transformations

Exponential Gate

Type transformation doubling type space must solve E_solve ≥ 2^n

7 Core Invariants

Mass conservation, exponential gate, convergence, self-consistency, self-preservation, self-optimization, self-guarding

MetaType

Type system that rewrites its own type rules based on runtime observation

Summary: Defines the minimum invariant ruleset for a type system that rewrites itself: mass conservation, exponential gating, convergence, and self-preservation.


AngrySphinx Donated-Cycle Gate Specification

Proof-of-Defense

Web-facing layer where adversarial clients must spend local compute before receiving protected content

Donated Cycles

Client work is shaped so accepted proofs contribute to defender's gate calibration

PoD Ledger

Records accepted work, shell depth, attestation, and route metadata

Challenge Engine

Builds challenge payloads from policy, telemetry, and difficulty state

S3 Shell Depth

Tracks shell depth for exponential solve energy scaling

Summary: Defines a web-facing proof-of-defense layer where adversarial client compute is converted into defensive work, calibrated challenges, and auditable receipts.


Information Manifold Taxonomy

Information Manifold

Triple (M, g, ∇) with smooth manifold, Fisher-Rao metric, and affine connection

Fisher-Rao Metric

Unique Riemannian metric invariant under sufficient statistics (Chentsov's theorem)

S1: Fisher-Geometric

Statistical manifold with optional genus-3 topological constraint, torsion-free

S2: Alcubierre Warp

2D submanifold chart (τ, H) for compression frontier analysis

S3: Sovereign Informatic

Full manifold with anisotropic tensors, torsion landscape, hyperfluid phase field

S4: Behavioral MOIM

Discrete lattice approximation with Genome18 addressing (262,144 states)

Summary: Defines the canonical taxonomy of the Information Manifold as four specializations (Fisher-Geometric, Alcubierre Warp, Sovereign Informatic, Behavioral MOIM) of one fundamental object.


Hydrogenic Phi-Torsion Braid

Fibonacci Spine

Base exponential expansion r_base(theta) = r0 * exp(k * theta)

Hydrogenic 2s Constraint

Topology-shape form of 2s radial wavefunction as geometric groove

Phi Torsion

Logarithmic growth with phi = (1+sqrt(5))/2 creating spiral structure

Stair/Event Trace

Parametric manifold exposing scale-delayed mass-number event cells

Summary: Formalizes the hydrogenic Phi-torsion braid as a parametric manifold from Fibonacci spine through hydrogenic 2s constraint groove to Phi torsion and stair traces.


Human Surface JSON-L Spec

Human Surface

Any interface where a person, tool, model, device, or storage exposes state

JSON-L Envelope

Append-only JSON event line for all human-facing surfaces

HS0-HS4 Layers

Surface classes, JSON-L envelope, admission projection, Omnitoken mapping, shell/storage

AngrySphinx Quarantine

Default unknown-shell behavior preserving unknown surfaces as archive data

Summary: Defines one append-only JSON-L language for all human-facing surfaces that feed Omnitoken, GCL, ENE, RGFlow, and embedded node surfaces.


HDMI Field Encoding Specification

TMDS Lane Hijacking

Repurposing HDMI TMDS lanes for soliton field parameter transport

Control Period Abuse

Data Island periods carry soliton topology metadata instead of audio/InfoFrames

DDC Witness Exchange

I2C channel repurposed for soliton attestation and ZK-STARK verification

Pseudo-Frame

1920×1080 mapped to 11-dimensional parameter matrix × soliton instances

Summary: Specifies physical layer hijacking of HDMI TMDS lanes to transport N-dimensional soliton field parameters, with DDC channel repurposed for witness exchange.


Geometry Emergency Boot Witness

Geometric Encoding

Recovery seed encoded across spatial geometry, capacitance values, interconnect topology, and physical dimensions of graphene supercapacitors

6502 Design Philosophy

Self-powered calculator architecture with solar panels and calculator-like efficiency

EM Neutrality

Embedded optical fiber instead of electrical traces for complete electromagnetic neutrality

AEM20940 Energy Harvesting

60mV cold-start harvesting from ambient energy

Seed Assembly

Multi-dimensional geometry collapse to 128-bit seed for emergency recovery

Summary: Defines a minimal hardware-rooted recovery mechanism where graphene supercapacitor geometric arrangement encodes a recovery seed for emergency boot.


GENSIS Compiler Specification

64-bit unsigned fixed-point type for [0,1) with 2^-64 precision

Matryoshka Brane Stack

Nested reality shells from quantum foam to universe, each with native dimensionality

AngrySphinx Gate

Exponential energy gate at every shell boundary

Saturating Arithmetic

All Q0_64 operations stay in [0,1) with saturation on overflow

Summary: Defines the GENSIS compiler transforming arbitrary data through a Matryoshka Brane Stack with Q0_64 0D scalar as universal lingua franca and AngrySphinx gates at every boundary.


GCL Topology Revision Spec

GCL Topology Contract

GCL as topology contract: observe→bind→route→sigma_check→policy→dag→verify→receipt

Builder/Warden/Judge Phases

Three topology phases (constructive, inhibitory, adjudication) in one surface

Canonical Gate

Every route/compression/hardware/recovery passes through the same OBSERVE→RECEIPT gate

Route-Prior Sources

8 surface families: sequence, GCL motif, informaton, MS3C, hardware, node, fractal fold, meta-autotype

FAMM Scar

Failure record used for remembering and downranking similar routes

Summary: Revises GCL from a carrier-specific language to a topology contract with canonical gate, route-prior sources, and builder/warden/judge as topology phases.


GCL Field Equations Spec

Candidate Surface Object

x = (A, W, R, O, K) with alphabet, bits/symbol, role flags, operation flags, closure kind

Field Interaction

Surface→metaprobe→field→RGFlow→LUT→finite GCL codon pipeline

Smallest Lawful Surface

What is the smallest lawful surface that preserves the useful structure?

Possibility Space Probe

Discovers candidate computational surfaces across sequence substrates

Summary: Defines field equations for GCL surface combination, compression, adaptation, and admission across sequence substrates, GCL motifs, and informaton surfaces.


GCCL Encoding Contract

GCCL

Geometric, Cognitive, and Compression Law — the law layer deciding transformation admissibility

Seven Law Surfaces

Geometric, Cognitive, Compression, Residual, Cost, Scale, Receipt

UMUP-lambda

M = (S, T, I, R, K, P, Q, Lambda) encoding tuple for GCCL transitions

LawAxis

Inductive type with 7 axes: geometric, cognitive, compression, residual, cost, scale, receipt

Summary: Defines GCCL as the law layer encoding transitions through seven law surfaces (geometric, cognitive, compression, residual, cost, scale, receipt) wrapped in UMUP-lambda tuples.


Forward Foundation Equation Compiler

Foundation Kernel

F0 = {O4, SD, MN, gamma_star, H_dV, Omega, Lambda, A} root equation set

Forward Admissibility

No backward trust chain — only forward admissible generation from foundation kernel

Shell Equation

Equation atoms must compile from foundation kernel, closed under declared transform, with receipt

Origin Doctrine

Origin may inspire; only closure admits

Summary: Defines the forward foundation equation compiler where trusted equation objects must be generated forward from the foundation kernel, closed under declared transforms, and accompanied by receipts.


MS3C-RG: Matroska S3C Nested Reduction Gear

Nested Shell Reducer

Signed nested-shell route-prior geometry from S3C coordinates

Gear Stack

7 gears from raw coordinate shell through contra-rotation to GCL admission

Contra-Rotation

Gear that reverses shell rotation for boundary detection

Shear-Boundary Detector

Detects phase transitions at shell boundaries

MatroskaCodon

Compact shell descriptor encoding nested reduction state

Summary: Defines the Matroska S3C Nested Reduction Gear as a signed nested-shell route-prior geometry system with 7-gear stack from raw coordinates through GCL admission.


Morphic Neural Network Routing Layer

MNN Routing

Low-level adaptive routing between LUT admission and GCL codons

Morphic Topology

Topology that reshapes based on current manifold state, not fixed routing tables

Goal-Aware Routing

Routes based on packet goal, node state, carrier conditions, recovery pressure, cost

Cost-Aware

Every routing decision minimizes total cost (energy, time, bandwidth, recovery)

Summary: Defines a morphic neural network routing layer that adaptively reshapes paths from LUT admission to GCL actions based on goals, state, carrier conditions, and cost.


LLM Refinement Protocol

Refinement Loop

7-step protocol: table expansion, lens sweep, glossary lock, primitive compression, residual audit, test hook, warden pass

Lens Sweep

Running concept through multiple charts: hostile scientist, patent examiner, systems engineer, etc.

Primitive Compression

Collapse concept into four keeper primitives: field, shear, packet, spectral

Warden Pass

Ask what would make the claim false, what would upgrade it, what language hides uncertainty

Summary: Converts rough research ideas into stable, auditable refinement loops by forcing models to expose hidden dimensions, rotate lenses, lock vocabulary, compress to primitives, and audit residuals.


Law-Gated Reconstruction Core Shift

Reconstruction Core Shift

Migration from route-prior accumulation to decoder-facing, law-gated reconstruction-core promotion

Canonical Object

S -> (K, Theta, R, Pi, Receipts) -> S_hat with hard gate Repair(Replay(K,Theta,Pi),R) == S

Byte Law Gate

The only compression admission is counted bytes against raw bytes

Lowest-Cost Reconstruction Basis

Find the lowest-cost reconstruction basis whose residual is cheap enough to repair byte-exactly

Summary: Roadmap shift from route-prior accumulation to decoder-facing, law-gated reconstruction-core promotion where the compressed object is a decoder-facing reconstruction core.


Language Set Manifold Graph Typing

Language Set Graph

Typed nodes and edges representing an entire language/code-set graph

Density Markers

Payload-relevant signals explaining unusually high information density in surface forms

RRC Admissibility

RRC classifying a language family as reusable compression/projection surface

Surface Form vs Payload

Glyphs/words are adapter views; canonical payload is typed graph plus replay law

Summary: Defines how entire language sets (conlangs, programming languages, formal systems) can be typed as manifold graphs for RRC compression and projection.


K3-Compliant Node Structure

K3 Compliance

ENE mesh node with computational state bound to k=3 shell of S3C manifold

S3C Shell Boundaries

k=3 shell: admissible energy 9 ≤ n < 16, throat at n=12

K3 Surface Coupling

Topological coupling to K3 Surface Calabi-Yau manifold with χ=24

Throat Midpoint

n=12 where a=b^0 giving isThroat=true as gravitational throat

Summary: Details mathematical and software design for K3-compliant nodes where computational state is bound to the k=3 shell of S3C manifold, coupled to K3 Surface invariants.


Omnitoken GCL Redesign

Omnitoken

Scale-invariant 1D scalar → compressed LUT → lawful GCL codon

OMNIsurface

Takes local shape of whatever substrate it touches while preserving one internal meaning

OT0-OT4 Layers

Codon vocabulary, frame, fragment/manifest, JupiterBox envelope, carrier binding

JupiterBox

Bounded carrier envelope for Omnitoken/GCL state

Summary: Redesigns Omnitoken as an OMNIsurface language taking the shape of whatever substrate it touches while preserving one internal scalar/LUT meaning admitted by GCL.


Omindirection Logogram Design and Compiler

Omindirectional Atom

Oriented, placed, receipted symbolic atom with payload, identity, orientation, phase, position, status

Nine First Principles

Payload≠presentation, direction≠handedness, chirality=phase projection, position=state, etc.

Phase as Cyclic

Chirality classes derived from cyclic phase in Z/360Z

Residual Policy

Explicit declaration of what was lost and why projection was trusted or rejected

Summary: Defines Omindirection as a system-agnostic contract for encoding symbolic payloads as oriented, placed, receipted atoms from first principles.


NII Core Surface Driver Implementation Plan

NII Core Driver

Mathematically defendable surface driver leveraging system topology

SSS Monitoring

Steady-State Stability monitoring from Layer 6

Alcubierre Information Metric

Warp-speed compression from Layer 7

TSM-VDP ISA

128-bit RISC-V custom extension for topological state machine

FAMM-aware Scheduling

Scheduling based on frustration timing

Summary: Outlines implementation plan for a Lean-verified NII core surface driver with SSS monitoring, Alcubierre Information Metric, and FAMM-aware scheduling.


NII Core Surface Driver Completion Summary

Lean Formalization

SurfaceDriver.lean with SSS, slip threshold, warp function, FAMM scheduler

C Driver

Linux kernel driver with Q16_16 arithmetic, SSS monitoring, FPGA Manager integration

FPGA Bitstream

Verilog with Q16_16 arithmetic units, SSS monitor, sigmoid approximation

Summary: Completion summary for NII Core Surface Driver with Lean formalization, C driver implementation, FPGA bitstream generation, and integration testing complete.


Projectable Geometry Compressor Spec

Projectable Geometry

Shared projectable geometry + compact carrier symbols + bounded residual sidecars + rehydration receipts

Projection Pipeline

project→preserve→improve: map to lower-dim control basis, track displaced coordinates, amortize over corpus

Genus-3 Residual Boat

12D residual lane with genus-3 geometric structure

DNA Carrier Substitution

Using DNA-style encoding as compact carrier for projected geometry

Byte Law

K(model) + K(residuals|model) < K(raw objects)

Summary: Defines compression architecture turning large structured objects into shared projectable geometry, compact carrier symbols, bounded residual sidecars, and exact rehydration receipts.


Phi-S3C-PIST Bridge Spec

Phi-S3C-PIST Bridge

Connects Phi center to S3C shell coordinates and PIST witness transport

Phi Correction Boundary

Absolute cost vs relative efficiency distinction in Phi field

S3C Mass Boundary

Closed mass (throat activation) vs open mass (next-shell tension) distinction

Phinary Indexing

Zeckendorf-based irrational spacing and descent/address indexing

Summary: Connects the Phi center to S3C shell coordinates and PIST witness transport, establishing correction boundaries and mass distinctions.


Oracle Interrogation IDPC v0.1

IDPC Operator

Inverse Delta Phi over Cosine: coherence per phase displacement

IDPC Formula

IDPC = cos(theta) / (DeltaPhi + epsilon)

Fallible Oracle

Oracle useful because wrong answers can reveal deeper patterns, not because always right

Three Oracle Layers

Literal answer layer, pattern-detection layer, invariant-extraction layer

Summary: Records the IDPC operator as part of the OTOM oracle-interrogation path, measuring coherence per phase displacement with fallible oracle readings.


Quaternion Sidon Standing Field v0.1

Quaternion Rotors

Square-grid lattice with local SU(2)-like phase rotors

Sidon Pair Uniqueness

Δq_ij = Δq_kl only for same unordered pair — anti-aliasing property

Triangle-Wave Standing Field

Cellular standing-flow update driving lattice dynamics

Pressure-Locking

Extreme compression enabling paired collective modes

Summary: Records a speculative toy formalism of square-grid cellular lattice with quaternion spin/phase rotors, triangle-wave standing field, and Sidon pairwise uniqueness.


Reconstruction Core Math Review

Stage Review

17-stage consistency review of reconstruction core shift

Three Separations

counted byte law ≠ auxiliary score; ADMIT_FIXTURE ≠ ADMIT; glyph/prior ≠ payload truth

Receipt Fields

raw_hash, kernel_hash, theta_hash, protocol_hash, residual_hash, repaired_hash

enwiki8/9 Probes

Wiki-logogram, XML dictionary, receipt aggregation, dictionary amortization probes

Summary: Stage-by-stage math consistency review after the law-gated reconstruction-core shift, confirming the core equation holds and identifying remaining caveats.


Research Stack Address Space: Mountain on Mountains

NUVMAP

Hierarchical meta-topological address space with 14-axis hyperbolic manifold

Bit-exact 18-bit witness address from 6×3-bit bins

Matroska Shell Depth

Recursive shell depth Sk representing conceptual distance from Core Formalism

Crystalline Core

S0 root shell with m=1.0 maximum activation for OTOM core model

Summary: Defines the hierarchical meta-topological address space mapping projects/assets onto NUVMAP coordinates within 14-axis hyperbolic manifold.


SilverSight Specification

SilverSight

Clean-slate successor to Research Stack with stable IDs, Lean definitions, and receipts

YaFF Schema/Layout/WireFormat

Three separate Core modules: Schema gives size+well-formedness, Layout is encoding choice, WireFormat is certified encoder/decoder

DynamicCanal

Physical instantiation abstraction: 1-Wire, PCIe, DRAM, JSON all equivalent

Claim-State Ladder

BEAUTIFUL_PROVISIONAL → CALIBRATED_ENGINEERING_DELTA → REVIEWED → VERIFIED

Summary: Clean-slate successor keeping formally verified concepts, discarding duplication, re-expressing as substrate-agnostic compute fabric with stable IDs and receipts.


Virtio-Net DMA Compute Fabric

Packet-as-Computation

Ethernet is Math: packet headers are structural dimensions of computation state vector

PistPacket

Compute frame with Ethernet header + PIST computation header + Q16_16 payload

Toeplitz Transform

RSS engine as hardware-accelerated binary matrix-vector convolution

Ring Buffer Transport

virtio-net TX/RX rings as lock-free compute transport

Summary: Specifies treating virtualized Ethernet networking as high-throughput zero-copy packetized DMA computation backplane with PIST packets and NIC algebra offloads.


Vectorless Spatial Hash Architecture — Technical Review Response

Morton Code Locality

Z-order curves preserving semantic locality in spatial hash

Lean/Python Boundary

Python wraps Lean theorem only, no decision logic in Python

Hierarchical Refinement

Maintaining ~10 rows/cell for O(1) neighbor boundedness

Lean theorem for voltage mode classification, Python wrapper only

Summary: Technical review response correcting AGENTS.md boundary violations, Lean/Python semantic drift, locality problems, and float contamination in spatial hash architecture.


Unified Manifold-Blit Equation

Manifold-Blit Equation

M_{k+1}(x) = Quant_LLM(J_DAG[M_k ⊕ (Ψ_q ⊗ R_RT)])

Blitter Operator

Hardware-accelerated bitwise accumulation as discrete Picard integral

DAG-LUT Short-Circuit

Hash check for solved states enabling O(1) lookup

Quantum Walk Amplitude

Superposition of potential paths for quadratic convergence search

Summary: Defines the unified manifold-blit equation combining DAG-LUT short-circuiting, quantum amplitude sampling, hardware blitter accumulation, and LLM quantization.


Tag-Addressable Compute Fabric (TACF)

Tag Rings

6 channel rings (STRAND, CROSSING, PIST, LUPINE, VAAPI, FLAC) for work dispatch

Copy-If Pattern

Content-addressed work: same payload = same hash = no copy needed

HEP as LUT

Hardware capability as tag subscription table, not device tree

Spatial Hash as Storage

Node pool IS a spatial hash with tags as dimensions

Virtio Ring as Scheduler

Tag ring IS the scheduler — write descriptor, consumer reads and computes

Summary: Ground-up redesign where work is published to tags, nodes self-select based on capability LUTs, and the 6 tag rings ARE the entire addressing scheme.


Self-Adapting Compute Fabric

Node Bootstrap Agent

One-shot agent running on first boot: tailscale, detect hardware, build labels, join k3s

Capability Registry

Nodes declare what they are and what they can do; fabric routes around failures

Adaptive Scheduler

Orchestrator engine absorbing new capacity instantly and degrading gracefully

k3s Labels from Probe

Auto-generated k3s labels from hardware capability detection

Summary: Design for Research Stack that automatically adapts to rapid node changes with one-shot bootstrap agents, capability registries, and adaptive scheduling.


Semantic Degenerate Tensor Adapter (SDTA)

SDTA

Structural reformulation of NP-hard search as deformation theory over high-curvature eigensolid

Portability Coefficient

η = ‖Π_D A Π_D†‖_F / ‖A‖_F measuring problem structure captured in degenerate subspace

Coordinate Failure

Impossible ≠ ∞ — it means NaN (coordinate failure), not exponential growth

Degenerate Chart

Chart where eigensolid is degenerate, making constraint manifold flat (Laplace not Helmholtz)

SMN

Semantic Mass Number — low SMN = high η = problem compresses into degenerate subspace

Summary: Reformulates NP-hard search as deformation theory over high-curvature eigensolid, introducing portability coefficient η to measure how much problem structure survives degenerate projection.


Quantization Specification

Ternary Weight Quantization

W̃ = RoundClip(W/(γ+ε), -1, 1) achieving 10× memory reduction vs FP16

BitLinear

Activation scaling with dynamic range preservation

MLGRU Recurrence

h_t = f_t ⊙ h_{t-1} + (1-f_t) ⊙ c_t — no matrix multiplication, O(d) not O(d²)

RoundClip

Values < 0.5 → -1, > 1.5 → +1, else 0 for ternary quantization

Summary: Defines ternary weight quantization for efficient neural network inference achieving 10× memory reduction with fixed-point arithmetic.


Lonely Runner Conjecture — Betti-2 Topological Obstruction Mapping

Lonely Runner Conjecture

For k runners with distinct speeds on S¹, ∃t such that min_i dist(v_i t, 0) ≥ 1/(k+1)

Scar Region

Uncovered set M_t = S¹ \ ∪ B(v_i t, δ) — the loneliness field

Coverage Density

Φ(t,θ) = Σ 1_{B(v_i t, δ)}(θ) — which regions are illuminated by runners

NK-Hodge-FAMM Mapping

Isomorphism between runner configuration and FAMM velocity/scar/β₂ structure

Betti-2 Regularity

β₂ = 0 condition: no uncovered region = no scar = no topological blowup

Summary: Maps the Lonely Runner Conjecture onto NK-Hodge-FAMM framework, establishing isomorphism between runner coverage and FAMM scar/velocity structure.


Cole-Hopf + Vorticity Tension: Rigorous Resolution

Cole-Hopf Transformation

u = -2ν₀ · ∇(ln Φ) making velocity field everywhere irrotational

Vorticity Paradox

Cole-Hopf implies ∇×u=0 (no vorticity) yet NS requires ω≠0

Hodge Decomposition Resolution

Full state is DualQuaternion Q=(Q₁,Q₂)∈ℝ⁸; torsion from dual part generates vorticity

DualQuaternion

Q₁×Q₂ = ℝ⁴×ℝ⁴ encoding both rotational and translational information

Summary: Resolves the apparent contradiction between Cole-Hopf irrotationality and Navier-Stokes vorticity through Hodge decomposition of the full DualQuaternion state.


Witness Grammar Specification

Witness Grammar

Finite symbolic source code recovered from a field: active witnesses, amplitudes, frequencies, phases, roles

Equation Sniffer

Compares witness grammars, not raw data; searches for shared behavioral operators

Market-Data Bridge

Same pipeline applied to price/volume/fundamental streams for behavioral operator class extraction

FNWH Pipeline

Raw field → FNWH peeling → WitnessGrammar → EquationSniffer → route suggestion

Summary: Defines witness grammars as finite symbolic source code recovered from fields, with equation sniffers comparing grammars for shared behavioral operators.


Universe Model Orbit-Zoom Protocol

Orbit-Zoom Protocol

Navigation from coarse structure to checkable local laws via zoom ladder

Zoom Ladder

L0 Orbit → L1 Region → L2 State → L3 Derivation → L4 Receipt → L5 Gate

Assigned vs Derived

Critical distinction: assigned values (initial conditions) ≠ derived values (consequences)

Torsional Fluid Baseline

Baseline state with q1=q2=q3=1, eta=1.0, energy=velocity=0

Summary: Defines navigation and receipt protocol for mapping local problems into mathematical continents via orbit classification and zoom ladder descent.


Unified Transport Encoding Architecture

TMDS Lane Encoding

Wire encoding over GPU display controller TMDS lanes with fragment packets

VCN Video Encoding

RDMA payload packed into video frames with hardware H.265 encode/decode

Multi-Transport Routing

Transport selection, fragmentation, multi-hop relay, fallback across 11 transports

Unified Envelope

[tag(1)] + [transport-header] + [RDMANetHeader(41)] + [payload] wire format

Summary: Defines unified transport encoding across TMDS lanes, VCN video, and mesh multi-transport routing with fragment packets and unified envelope wire format.


Unified Signal Architecture — DisplayPort × Audio × FPGA

NUVMAP Texel Stream

PIST → Cayley V4 → braid/rope encoding feeding three hardware pathways

Three-Column Architecture

DisplayPort 8K60, PipeWire Audio 192kHz, FPGA Tang Nano 9K as unified frame sync

VBLANK/SUBTRACT/HBLANK/PAUSE

Blanking intervals carry TVI samples, mistake vectors, GCL diff deltas

Unified Frame Sync

DP VSYNC = audio buffer swap with keyframe+attestation at frame 0

Summary: Bridges DisplayPort 8K60, PipeWire Audio 192kHz, and FPGA Tang Nano 9K into one texel state machine with unified frame synchronization.


Two-Layer Kinetic Sidon Lattice v0.1

Two-Layer Lattice

Kinetic layer (motion/energy/phase-clock) coupled with Sidon relational layer (pair signatures/anti-aliasing)

KineticToSidonFlow

Kinetic flux producing Sidon-addressed pair signatures

SidonToKineticFlow

Addressed relations feeding back into kinetic updates

Motion with Addressability

Combining dynamics with clean pair addresses for coherence without alias collapse

Summary: Refines Quaternion Sidon Standing Field into two coupled layers: kinetic substrate generating flux and Sidon layer assigning pairwise relational addresses.


Topological Braid Adapter Specification

Fibonacci Anyon Isomorphism

Five isomorphisms mapping HydrogenicPhiTorsionBraid to Fibonacci Anyon system

ColorRope to DualQuaternion

CMYK channels map to dual quaternion coordinates Q₁+εQ₂

stairIndex to SLUG3State

Crossing events map to B₃ braid group generator words

tensegrityCoherent to Yang-Baxter

Static equilibrium maps to Yang-Baxter equation consistency

Zeckendorf to Fusion Tree

Zeckendorf bits map to Fibonacci anyon fusion tree basis vectors

Summary: Establishes five mathematical isomorphisms showing existing braid constructs are isomorphic to Fibonacci Anyon systems via dual quaternions and braid group representations.


Tiny IP Surface Spec

Cooperative Event Loop

Contiki-inspired cooperative processes that must return quickly, no blocking

Fixed Packet Buffers

96-byte MTU with 4 RX and 4 TX buffers for tiny nodes

Admission Before Expansion

GCL must admit before payload expansion on tiny nodes

Shell Packet

Small datagram-like shell packets for constrained systems

Summary: Defines Contiki-inspired shell concepts for embedded GCL/Omnitoken nodes with cooperative event loops, fixed packet buffers, and admission-before-expansion.


Symbology-Derived Logogram Design

Safe Quarry Rule

Borrow compression principle, not protected symbol identity

Borrowable Principles

denseOperator, modifierFamily, customCodePage, residualOmission, radicalComposition, etc.

Source Classes

9 classes: array languages, code-golf, math notation, shorthand, logographic, syllabaries, ancient, constructed, specialist

Omindirection Atom

Original receipted atom from extracted design grammar

Summary: Defines safe quarry rules for extracting compression principles from dense symbolic systems (APL, Cuneiform, Hangul, etc.) into original Omindirection atoms.


SSMS-nD: Scalar State Manifold Segmentation

Variable-n Manifold

Dynamic n-dimensional submanifolds where n is determined per detection instance

Sequential Lifting

L_{1D→n} operator lifting 1D sequences into n-dimensional space via ternary-quantized weights

OISC Architecture

One Instruction Set Computer operating on dynamic n-manifolds

Betti Number Penalty

Complexity(n') = n'·log(n') penalty for dimensionality selection

Summary: Functional specification for promptable object detection using OISC architecture on dynamic n-manifolds with variable dimensionality determined by intrinsic structure.


SMN: Semantic Mass Numbers

SMN

Semantic load carried by a symbol inside the stack: identity+relation+provenance+constraint+decision+repair load

Mass Number

Admissibility packet with residual and boundary guard — not proof or truth by itself

Non-Identities

SMN ≠ atomic mass number, isotope mass, SI mass, Mass Number packet, proof, truth

Pipeline

semantic mass pressure → SMN score → optional Mass Number packet → admissibility receipt

Summary: Defines SMN as a project-local semantic-load measure for routing attention, with explicit non-identities separating it from physical mass and admissibility receipts.


Semantic Engine Binding Derivation Workbench

Conceptual Binding

Relation that makes a semantic engine useful: document→chunk, chunk→embedding, etc.

Research Stack Re-Derivation

Rebuilding external bindings through local bind/primitive/invariant/metric/receipt

Inspection Template

License surface, binding inventory, hidden assumptions, Research Stack derivation per engine

Summary: Defines methodology for inspecting MIT-licensed semantic engines, identifying minimum laws, and rederiving from Research Stack theory base.


Receipt Core Infrastructure v0.1

Receipt Infrastructure

Safety and evidence-routing layer: executable/benchmark/adversarial receipts do not authorize promotion alone

Proof Receipt Gate

CANDIDATE + proof receipt may promote to REVIEWED; CANDIDATE + non-proof evidence ≠ REVIEWED

ClaimState

Inductive type for claim states in receipt ledger

ReceiptKind

proof, leanBuild, executableEval, benchmark, adversarialTrial receipt constructors

AdversarialTrial

Receipt type for adversarial testing evidence

Summary: Defines minimal receipt infrastructure scaffold where workspaces cannot promote to reviewed status without explicit proof receipts.


SilverSight Completion Pipeline — Microstep Edition

8-Phase Pipeline

Core Semantics → Formal theorems → Corpus/PIST → Comp theorems → Shims → Hardware → Apps → Promotion

Claim-State Ladder

BEAUTIFUL_PROVISIONAL → CALIBRATED → REVIEWED → VERIFIED with exit gates

Microstep Methodology

Per-file, per-theorem, per-commit microsteps with goals, verification commands, commit messages

Library Method

Core/ defines contracts; libraries implement them; libraries never import other libraries

Summary: Expands SilverSight pipeline into per-file microsteps covering 8 phases from Core Semantics through hardware extraction to promotion, with claim-state tracking.


Sovereign Proceed Plan: 48-Hour Execution

Burgers Theorem Hardening

All 4 Burgers PDE theorems proven via 0D Braid Isomorphism using native_decide

Hardware Loopback

UART packet structure for Tang Nano 9K FPGA test harness

AVM-R Integration

Hierarchical vector roll-up integrating Burgers kernels into AVM-R structure

BFS-Prover

Breadth-First Search Prover for automatic lemma proof

Summary: 48-hour execution plan covering Burgers theorem hardening, hardware loopback design, and AVM-R integration.


Creation OS → Sovereign Stack: Adaptation Analysis

σ-Gate Mapping

Creation OS σ-gate maps to Sovereign Stack bind instance with Q0_16 metric

Conformal Calibration

Creation OS empirical α=0.80 needs upgrade to 6.5σ Lean-proven threshold

Branchless Integer Kernels

40 branchless Q0_16 kernels composed into one verdict, matching Creation OS architecture

Ω-Loop Self-Improvement

Creation OS recursive improvement maps to Master Equation for recursive evolution

Summary: Maps Creation OS σ-gate pipeline to Sovereign Stack bind/Lean architecture, identifying partial overlap and 7-order-of-magnitude confidence upgrade needed.


Evidence Attachment Guidelines

Build Log DAG

UUID-tagged build steps in DAG structure with timestamps

Benchmark Artifacts

CSV, PNG, JSON artifacts in data/benchmarks/ with markdown links

Path Quoting Invariant

All filesystem paths must be quoted to handle spaces

Citation Verification

Automated verification of citation URL accessibility

Summary: Systematic approach for attaching evidence to claims: build logs with UUID DAG structure, benchmark artifacts, and citation accessibility verification.


All Actions Provenance Report

Provenance Compliance

6 compliant claims, 0 critical issues after remediation

External Verification Claims

Arithmetic sanity checks with CAS provenance disclaimers replacing Wolfram claims

Build Log Verification

DAG build logger with UUID and timestamp per step

Citation Accessibility

17 URLs checked: 14 accessible, 3 infrastructure URLs

Summary: Provenance report for 2026-04-29 covering external verification claims, build claims, benchmark claims, and citation accessibility verification.


RRC Equation Projection

RRC Shape Classification

278 equations classified into 5 RRC shapes: CadForceProbeReceipt, CognitiveLoadField, LogogramProjection, ProjectableGeometryTopology, SignalShapedRouteCompiler

Scale Witness

Declares routing scale band, unit hint, threshold/tolerance/budget policy

Negative Control Witness

Fail-closed controls: empty-equation invalidation, label-shuffle baseline, missing-receipt HOLD

CANDIDATE Status

Object fits type-shape well enough for next proof/route stage, not mathematically proved

Summary: RRC projection pass over 278 local equation surfaces recording nearest lawful shapes, projection axes, and admissibility holds.


RRC Logogram Projection Formalism

LogogramReceipt

Structure with shape, status, regime, payloadBound, contradictionWitness, tearBoundary, detachedMass, residualLane

TypeAdmissible

Logogram admissible only when shape=LogogramProjection, status=Candidate, payloadBound=true

Projection Admissible

Projection safe under local payload and semantic-regime checks

Merge Admissible

Additional condition beyond projection admissibility for merge operations

Torn Logogram Repair

Torn logogram can be projection-admissible after repair/quarantine while not merge-admissible

Summary: Formal scaffold with Lean-checked routing theorems for logogram projection admissibility, proving torn logograms can be projection-admissible after repair.


RRC Logogram Projection Bridge

LogogramProjection Bridge

Binds canonical cell hash, bounded glyph payload, substitution receipt, semantic regime, RRC type witness into single receipt

Projection Equation

P_logogram(source) = (canonical_hash, cell_hash, glyph_payload_16, semantic_regime, substitution_receipt, rrc_type_witness)

5/5 CANDIDATE

All 5 sample logograms achieve RRC CANDIDATE status with 4 merge-admissible, 1 repaired tear

Summary: Projection bridge binding logogram components into single LogogramProjection receipts, with 5/5 samples achieving RRC CANDIDATE status.


Compression Signal-Shaping Synthesis

Signal-Shaped Route Compiler

Shape route space before coding, then pay exact residual/witness/decoder/container bytes

12 Approach Classes

PAQ context mixing, decision-diagram search, T16 pipeline, Phi response, compressed sensing, etc.

Holographic Fractional Recursive Fold

Boundary descriptor plus bounded memory compression approach

Semantic Topology Regimes

Fold/prune/tear decisions based on semantic topology

Summary: Synthesizes compression approaches into signal-shaped route compiler pattern: shape route space before coding, then pay exact residual bytes.


Rainbow Raccoon Compiler Integration

RRC Type-Checker

Manifold-indexed type-checker: object→projection→shape→witness→field-equation→receipt

16-Axis Manifold

Projection into semantic_entropy, geometric_mass, compression_pressure, topology_torsion, etc.

MetaManifoldProver

First proof-backed RRC lane: Q16_16 fixed-point lowering certificate

CANDIDATE/HOLD

Conservative emission: CANDIDATE only with enough declared evidence, HOLD otherwise

Summary: Represents Rainbow Raccoon Compiler as manifold-indexed type-checker with 16-axis projection and first proof-backed fixed-point lowering lane.


FAMM — Stigmergic Route Memory

FAMM

Frustration-Aligned Memory Management: scars becoming navigation

Stigmergic Memory

Agents leave traces in medium; altered environment biases later action

FAMM vs AMMR/AVMR

AMMR preserves history, AVMR aggregates vector state, FAMM changes where system searches next

FAMM Load

L_famm = Σ² + I_lock + Δ_φ measuring frustration timing load

Scar Navigation

Failed→avoid, partial→preserve as torsion, successful→reinforce, ambiguous→quarantine

Summary: Bridges FAMM to stigmergic memory: failed routes become avoid signals, partial routes become torsion signals, successful routes become attractors.


Transfold Enwiki8 Magnetic Domain Generator

Transfold Map

byte_stream_signal → magnetic_domain_equation mapping entropy to field demand

Magnetic Domain Equations

L_info, G_over, M_i, Q_i equations from byte statistics

Magnetization/Hysteresis

Mean magnetization 0.644 and heat loss 1.012 from 64KiB enwik8 slice

Stress Sweep

Capacity threshold sweep from 2.50 to 5.25 showing overflow behavior

Summary: Converts byte slices into magnetic-domain equation receipts for stress-testing, mapping entropy/transition-rate/repeated-4-grams to field/remanence/hysteresis channels.


COUCH Data Magnetic-Domain Comparison

COUCH vs enwik8

COUCH bundle: higher remanence (0.889), lower susceptibility (0.569), lower heat loss (0.239) than enwik8

Routing Implication

COUCH = compact high-remanence surface preferring dictionary/state reuse; enwik8 = high-transition needing boundary-aware shaping

Magnetic Domain Analogue

Byte-statistical analogue supporting routing and stress-test comparisons only

Summary: Compares COUCH data bundle vs enwik8 under magnetic-domain transform, showing COUCH is more memory-like and less transition-agitated.


Photon-Chased Ferrite Trace Formation

Guided Reaction Space

Confined channel as guided reaction space with traveling activation front biasing deposition

Activation-Deposition Alignment

v_front ≈ v_deposition_response for optimal field-biased ferrite deposition

Rate Equation

dF/dt = k·A[I,λ]·R_leak·C_wall·η_EET - D_loss

Axial Memory

Desired effect is field-biased ferrite deposition with axial memory, not mere ferrite

Summary: Speculative materials concept for using traveling electromagnetic activation fronts to bias ferrite-like deposition along confined channels with axial memory.


Total Calculation Review

Monthly Cost Projection

Projected monthly costs from $109.42 through August, dropping to $61.20 by November

Bill Detection

36 bill groups detected with $6,257.59 projected 2026 total

Summary: Reviews projected monthly costs for Research Stack subscriptions showing $648.40 Jun-Dec total with Kimi and Wolfram expiring.


Pythagorean Theorem and Beyond

n=2 Specialness

Only n=2 works because Euclidean geometry is quadratic; orthogonality adds squared lengths

Hyperoperation Address Space

AMMR+BMMR→CMMR with hyperoperation-indexed address coordinates

Tetration Addressing

address = 2↑↑5 giving finite machine address preserving higher-order generative identity

Summary: Explains why only n=2 works for Pythagorean theorem (quadratic Euclidean geometry) and extends to hyperoperation-indexed address spaces.


Prioritization — Given Blowup Potential from Minimal Tests

8-Week Sequence

Math characterization → crypto fast track → tech report → starling → preprint → prose pipeline

Prime Gap Result

Detector fired with zero calibration on domain never designed for

Falsification Boundary

Know what detector CAN and CANNOT see before touching noisier domains

Summary: Recommended 8-week sequence starting with mathematical characterization of entropy-collapse detector, then crypto fast track and starling validation.


Observer-Scale Regime Gate & VoidScar Fractal Field

VoidScar Fractal

Hybrid Menger void deletion + Koch boundary growth creating recursive manifold field

Menger-Koch Hybrid

Boundary explodes while mass vanishes: D_MK(n) ~ (9/5)^n scaling ratio

Regime Gate

Observer-scale dependent coupling regime determining field behavior

Summary: Defines VoidScar Fractal as hybrid Menger-Koch recursive manifold where boundary grows faster than interior scaffold survives.


Neurobiological Haker Concept

Negative Cognition

Mental-state negative: brain emits alive signs but mental-state map has deliberate non-region

Passive Scan

Device passively samples EM side effects from nervous systems, reconstructs state contours

Detectability Hunt

Predator that hunts readable phenomena, not prey

Summary: Conceptual exploration of negative cognition and passive electromagnetic scanning for state contour reconstruction.


Load Distribution Concept

Three-Plane System

Mechanical plane (load/stress), puzzle/admissibility plane (memory-hard proof), Merkle plane (commitment)

Equihash as Witness

Equihash does not distribute load physically; certifies costly-to-fake search/verification

Invariant Geometry

T·A·ω - T·B·δ gives admissible physical load space from tensegrity/origami

Summary: Separates cryptographic bits from mechanical equilibrium: use hash/Merkle/Equihash as admissibility witness, not literal force term.


Fractal Pathfinding Model

Unified Search Field

BFS, DFS, Dijkstra, A*, Greedy as different projections of single reconfigurable traversal manifold

Fractal Search Operator

SolveBind(S_t, q, Θ) → (P_t, R_t, S_{t+1}) with solver mixture Θ

Search as Braid-Field Renormalizer

Each solve emits topology update receipt; solver rewrites graph metric at every scale

Adaptive Metric

Successful corridors get lower resistance; dead ends get higher pressure; repeated structures collapse to macro-nodes

Summary: Models five pathfinding algorithms as projections of one reconfigurable traversal manifold that rewrites graph metrics at every scale.


Dual Model MoE Concepts

VLMo

Mixture-of-Modality-Experts with vision, language, and fusion experts

LIMoE

Sparse Language-Image Mixture of Experts with modality-partitioned routing

Bilateral MoE

V-expert, L-expert, B-expert (binding), R-router, M-memory workspace

Summary: Surveys architectures close to bilateral MoE: CLIP-style dual encoders, Flamingo bridges, VLMo modality experts, LIMoE sparse routing.


Entropy-Collapse Detector — Minimal Validation Tests

Test 1: Silent on Dead Sequence

Simple sentence correctly produces no opinion (no temporal dynamics)

Test 2: Fires on Prime Gaps

14 windows fired (16% hit rate) with zero calibration on primes, correctly at constraint pressure points

Triple Condition

Braid crossings > K AND σ_q < σ_c AND D_q → 1

Dense Ranking

Equal values get equal rank; tied pairs excluded from crossing count

Summary: Two baseline validation tests: correctly silent on dead sentence sequence, correctly fires on prime gaps with zero calibration.


DeepSeek V4-Pro Requirements

1.6T MoE Architecture

1.6T total parameters, 49B activated per token, 1M-token context, FP4+FP8 mixed precision

Memory Planning Floor

~1 TB aggregate HBM as minimum for V4-Pro inference

Token Rate Bottleneck

tokens/s = min(expert bandwidth, MoE compute, KV cache, GPU-to-GPU all-to-all, scheduler)

Summary: Hardware requirements for DeepSeek V4-Pro: 1.6T MoE needing 8+ H200 GPUs, NVLink interconnect, vLLM/SGLang serving.


DESI Menger Probe Result

16D Packet Vector

V₁₆(k) = q_void ⊕ q_orbit ⊕ q_braid ⊕ η_observer

Menger Hausdorff Dimension

d_H = ln(20)/ln(3) ≈ 2.7268 for Menger sponge addressing

QR State Machine

Void/orbit/braid/observer blocks with Menger sponge geometry in q_void subspace

Void-Scar Boundary

DESI void structure mapped to Menger sponge with rough evolving interfaces

Summary: Probes Menger void QR state machine against DESI void structure, establishing 16D packet vector decomposition and Hausdorff dimension.


Chat Log Math Synthesis — 2026-05-11

16D Canonical Decomposition

V₁₆ = (q_void⁴ᵈ, q_orbit⁴ᵈ, q_braid⁴ᵈ, η_observer⁴ᵈ) with 4D blocks

Master Atlas Equation

𝓐₁₆ = Σₖ Γₖ[Mengerₖ ⊗ Torusₖ ⊗ Braidₖ ⊗ Observerₖ]

Closure Condition

close(k) iff ‖V₁₆(k) - lift(P(V₁₆(k))) - R₁₆(k)‖² = Σᵢ₌₅¹⁶ σᵢ²

O₄ Projection

O₄(k) = P₁₆→₄(V₁₆(k)) = (field, packet, shear, spectral)

Summary: Filtered math synthesis from chat exports retaining only claims surviving bind test: 16D manifold structure, projection/lift, master atlas equation.


Boundary Eigenfire — The Modal Burn Surface Doctrine

Modal Burn Surface

Boundary as activated superposition surface where multiple latent values forced into local reality

Boundary Field

B_∂(x) = Proj_∂(Σ λᵢψᵢ(x)) — weighted superposition of eigenmodes projected onto boundary

Modal Basis

8-component shape-state vector: ρ, ∇ρ, T, σ, κ, β, η, ε

λ_YAH Spectrum

Hyper-eigenvalue weights from the λ_YAH hyper-eigenspectrum

Summary: Redefines boundaries as activated modal burn surfaces where multiple latent eigenmode values are forced into simultaneous local reality.


Blockchain as Hardcoded Human Math — Vortex Signal

AMM as Eigenmass

Concentrated liquidity ticks as HCMMR depth levels with stepwise eigenmass

Liquidation Cascade Vortex

Liquidation events as programmed vortexes with eigenmass distribution ρ(H,P)

Tick Crossing as Braid

Upward crossing = σᵢ, downward = σᵢ⁻¹; high frequency → vortex signal

Summary: Maps on-chain AMM curves and liquidation cascades to HCMMR vortex detection: tick crossings as braid generators, eigenmass as liquidity depth.


Atomic Resolution — Entropy Collapse Detector

Minimal Observable

1D coordinate s_longitudinal along group heading, per individual

Behavioral Atom

Single pairwise overtaking event σᵢ — substrate-invariant across slime mold, fish, starlings, cattle, rats, AMMs

Data Schema Atom

individual_id:u16, timestamp:u32, s_longitudinal:i32 (Q16.16 fixed-point)

Triple Condition

Braid crossings > K, σ_q < σ_c, D_q → 1 — fully computable from N scalar streams

Summary: Strips entropy-collapse detector to atomic resolution: minimal per-individual observable is 1D longitudinal coordinate, behavioral atom is pairwise overtaking event.


Corrected Arithmetic Specification — Entropy-Collapse Detector

Dense Ranking Rule

Equal values get equal rank; tied pairs excluded from crossing count

Crossing Count

W=8: crossings=12 (corrected from 18), K=7 FPR=94.57%, K=21 strict FPR=3.05%

Hurst Exponent

H=σ_q=0.032 on test series (extremely anti-persistent, n=8 too short for robust estimate)

Rényi D2

D_q bounded in [0,1]; D_c=1.2 is definition mismatch for this estimator

Summary: Corrected arithmetic for entropy-collapse detector: dense ranking, corrected crossing count 12 (not 18), K=21 strict FPR 3.05%.


α⁻¹ ≈ 137.036 — Fine-Structure Constant Derivation Survey

Fine-Structure Constant

α⁻¹ = 137.035999084(21) CODATA 2018, dimensionless ratio coupling electron charge to photon field

HCMMR Calibration Reference

α⁻¹ anchored as calibration reference, not derived from first principles in HCMMR

Q16_16 Anchor

alpha_inverse = ⟨8980791⟩ = 137.036 × 65536 in FixedPoint.lean

Summary: Survey of geometric/dimensional arguments for why α⁻¹ ≈ 137, with HCMMR anchoring it as calibration reference rather than first-principles derivation.


16D Manifold Adjustment

16D Shell Atlas

Gap-6 prime-lens shell atlas with hourglass pinch, torus lens, mirrored cone/void, spectral bands

Composite as Closure Defect

Composites are not mistakes — they become closure defects, NaN0 scars, or residual packets

4D Block Decomposition

q_void (triangles/filled cones), q_orbit (circles/lenses), q_braid (X diagonals), η_observer (color bands)

Summary: Adjusts 2D drawings into 16D universe model projections with prime/composite shell structure and 4D block decomposition.