AGENTS.md - Research Stack Operating Contract

Sidon label

An address from a set where all pairwise sums are unique. Powers of 2 (1,2,4,8,16,32,64,128) are the canonical Sidon set for 8 strands.

Sidon slack

Address budget minus max label used; encodes capacity headroom.

BraidStorm

The 8-strand braid topology used by the eigensolid compressor. Strands cross pairwise; each crossing merges phase and produces a residual.

eigensolid

The converged, stable state of a braid crossing loop. Detected when crossStep(s) = s. The DC baseline in the TNT BraidCarrier model.

scar

A FAMM failure record storing scar_pressure, failure_mode, and optional coarsening_agent. Scar absence is a positive receipt dimension.

Yang-Baxter

The braid relation βij βjk βij = βjk βij βjk that defines braid-order invariance.

Anti-BraidStorm

Adversarial dual that tests Yang-Baxter invariance and receipt aliasing as a validation layer for the compressor.

MORE FAMM

Memory-Optimized Recursive Entropy Fractal Aggregate Memory Model. Capability-based memory isolation for the runtime stack.

TSM

Topological S3C Manifold. Thermodynamic safety monitor with Builder/Warden/Judge clock domains.

GCL

Genetic Code Language. Self-improving evolutionary program representation.

AVM

Adaptive Virtual Machine. Universal bridge between math languages and Python bytecode. Sole output boundary for RRC receipts.

The Hutter Prize 1GB Wikipedia XML corpus, used as the canonical end-to-end test vector for the hierarchical compressor.

receipt

A machine-readable attestation record. Receipt dimensions (C, σ, k, ε_seq, t, ∅_scars) together form the encoding of the compressed state.

Fixed-point arithmetic type (16 integer bits, 16 fractional bits). Canonical constructor is Semantics.FixedPoint.Q16_16. No Float allowed in compute paths.

PhysicsScalarBridge

Compatibility layer bridging PhysicsScalar.Q16_16 to canonical FixedPoint.Q16_16 with toFixedPoint/fromFixedPoint and bridged arithmetic.

Headroom

Context compression tool (v0.26.0) that compresses tool outputs, logs, and conversation history before they reach the LLM.

Hermes Agent

Primary chat/dashboard gateway serving the fully-local Hermes-3 model. v0.14.0 on qfox-1 RTX 4070.

Ollama

Local LLM inference server serving hermes3:latest from GGUF model with full GPU offload.

meta-solid

Topological triple point where trace closure (Gas), local YB isotopy (Liquid), and braid class (Solid) are simultaneously exact at mixing fraction x=1/7.

Finsler-Randers QAP

Formulates Finsler-Randers directed routing as Quadratic Assignment Problem (via TSP-MTZ) and benchmarks against QUBO subset-selection.

QAP-MIP

Mixed-integer programming formulation of QAP using Miller-Tucker-Zemlin subtour elimination for TSP. Scales as O(n³) empirically.

PIST/RRC classification

Rainbow Raccoon Compiler pipeline classifying equation records into ACCEPT/HOLD/QUARANTINE states with receipt-bearing evidence.

Required Lean theorem proving the braid crossing loop stabilizes. Proven in EigensolidConvergence.lean.

Required Lean theorem proving original state is reconstructible from receipt within bounded error. Pending.

AVMIsa.Emit

Sole output boundary for top-level receipt JSON emission. No other module may produce top-level receipts.

250 raw FixtureRows — Python-supplied, Lean-gated; no decisions.

RRC.Emit

Alignment classifier producing missingPrediction/alignedExact/etc. status for RRC corpus.

ContextStream

Persistent memory and context management system for coding agents, providing init/context/search/session tools.

Cornfield recovery

Explicit retrieval trigger (RECOVER LEGACY INFORMATION) for archived or quarantined concepts from legacy branches.

Post-interaction workflow

Mandatory steps after every agent session: update AGENTS.md, verify build, commit explicit files, check tree cleanliness.

Programming choice flow

Decision tree for placing new logic: Lean owns all decisions, Python owns all I/O. Float forbidden in compute paths.

Matrix schema where global vocab tokens are projected to 8 strands via vocab_index % 8, building an 8×8 bigram adjacency matrix.

PIST matrix builder

Python shim generating rrc_pist_predictions_250_v1.json with deterministic dedup by equation_id.

CITATION.cff

Citation reference map where external sources are provenance and terminology references unless explicitly promoted by Lean theorem or receipt.

Summary: Master operating contract for the Research Stack repository. Defines ground rules, glossary, compression first principles, programming choice flow, post-interaction workflow, Q16_16 unification status, PIST predictions pipeline, and recent findings including meta-solid topology and Finsler-Randers QAP benchmarks.


ARCHITECTURE.md — Observerless Research Stack

Observerless Research Stack

A formal verification and compression system grounded in cross-domain invariant analysis. Every transformation is a receipt-bearing event preserving declared invariants.

Layer Model

7-level stack from Primordial (Level 0) through Meta-Computation (Level 6), each with domain, key substrates, and invariants.

PIST/DIAT Shells

Shell/integer coordinate transforms at the Primordial layer. mass = t·(2k+1-t) preserved under all lawful transitions.

GWL 5-Factor Coupling

Geometric coupling at Level 1: w_ij = cos(Δθ)·cos(Δφ)·(1-2|Δχ|)·exp(-|Δp|²/2σ²). Enforces dE/dt ≤ 0.

AngrySphinx Gate

Exponential security gate at Level 4: E_solve ≥ 2^n where n = type depth. NaN boundary at F=0.

FAMM Frustration

Frustration Aligned Memory Management at Level 4. Triadic incompatibility → frustration grows until resolved.

CrossDimensionalFilter

Semantic layer (Level 5) using 12 irreducible primes preserved across dimensional reduction.

Cognitive Router

Meta-computation (Level 6) selecting optimal compression strategy. L_total = λI·L_I + λE·L_E - λG·L_G + λR·L_R + λM·L_M.

Trixal Quality

Thermodynamic quality check (Level 3): dS/dt ≤ 0, Landauer bound W ≥ k_B·T·ln(2).

Homeostatic Governor

Compression pressure converges to stable p*. p_{t+1} = γ·p_t + α·surprise + β·regret.

Three-Axis Pipeline

ENE (Substrate) ↔ Notion (Surface) ↔ Linear (Intent), reducing to Metatype Q0_64 scalar for cross-tier communication.

Metatype

1D Q0_64 scalar interface that every substrate reduces to, enabling cross-tier communication.

ENE

SQLite-backed package store with hyperbolic concept coordinates holding ground truth substrate.

Seven Core Invariants

Mass Conservation, Exponential Gate, Semantic Prime Conservation, Frustration Monotonicity, Homeostatic Fixed Point, Cognitive Load Decomposition, Q0_64 Scalar Universality.

GCCL

Geometric, Cognitive, and Compression Law stack. The law stack defining what must be preserved.

MISC

Compression Engine using PIST shells, GWL coupling, Cognitive Router, Trixal Verify.

GENSIS

N-D Extension adding 64 codon tables, Izhikevich neurons, STDP, XNA backbones.

USTSM

Substrate Census mapping 36 substrates under one Q0_64 scalar.

Settlement states

Artifact lifecycle: SEED → FORMING → STABLE → CRYSTALLIZED → COMPRESSED.

Promotion ladder

Model progression: RAW_IDEA → SANITIZED_METAPHOR → TOY_MODEL → TYPED_MODEL → RESIDUAL_TESTED → COST_ACCOUNTED → PROOF_CANDIDATE → CORE_MODULE.

Bounded Lawful Surface

Transitions enter lawful surface only with valid syntax + declared projection + round-trip + invariant preservation + residual bound + receipt + scale validity.

Emergency Boot Flow

Power failure path: AEM20940 monitor → Geometry Scan → Seed Assembly → TSM Reconstruction → ZK-STARK Validation.

restic

Deduplicated, encrypted, content-addressed snapshots for storage. Primary backend: Garage S3.

Garage v2.3.0

Self-hosted S3-compatible object store over Tailscale mesh with 5 buckets.

rclone

Raw sync between remotes (Garage↔gdrive) for cold copy of restic chunks.

Observe→decide→act loop running every 15 minutes via systemd timer with Q16_16 thresholds and JSONL hash-chain receipts.

ENE RDS

8-crate Rust workspace replacing Python RDS stack: core, wiki, ephemeral, chat, api, node, storage, sync.

Braid Eigensolid Compressor

Planned compute substrate for 8-strand BraidStorm topology using crossing matrix C, Sidon labels, and receipt dimensions (C, σ, k, ε_seq, t, ∅_scars).

Compiler surface

The Compiler lean_lib is the sole gate for downstream import and receipt emission with three blessed roots: RRC.Corpus250, RRC.Emit, AVMIsa.Emit.

OpenAI Unit-Distance 2026

External reference: 2026 planar unit-distance result imported as arithmetic witnesses and lattice cuts across all 7 layers.

Summary: Single-page architecture map of the Observerless Research Stack. Defines the 7-level layer model, three-axis pipeline (ENE/Notion/Linear), seven core invariants, framework hierarchy (GCCL/MISC/GENSIS), repository structure, settlement states, promotion ladder, storage layer, ENE RDS workspace, and braid eigensolid compressor design.


Research-Stack (OTOM)

OTOM

One-Truth-Only-Model. Ultra-low power, zero-decimal data routing and compression using only integer arithmetic.

Q16.16 fixed-point

Hardware-native integer arithmetic eliminating floating-point. Addition, subtraction, multiplication, and modulo only.

lake build Compiler

3,314-job deterministic Lean build with 0 errors securing the mathematical core.

Semantics.SDPVerify

Certificate verification engine checking formal SDP proofs before they reach the rest of the stack.

Semantics.GoormaghtighCert

SDP certificate formalizing the Goormaghtigh conjecture.

HachimojiManifoldAxiom

Encoding Hachimoji DNA (8 synthetic bases) as manifold axioms and substitution rules.

GeneticBraidBridge

Bridge mapping genetic sequence structure onto braid topology.

SieveLemmas

Number-theoretic sieve results including depth_token_coprime_intersect.

InteractionGraphSidon

RRC weak axes modeled as atproto-style social-graph projections.

Gremlin mathblob database

Azure Cosmos DB graph with 14,449 vertices and 29,379 edges for dependency exploration.

ene-rds

Rust workspace (8 crates) replacing Python RDS stack with Axum HTTP API, PostgreSQL, Ollama embeddings.

VCN H.265 video-as-compute substrate with auto-profiling for NVIDIA CABAC lossless vs AMD UMA bandwidth.

Zero-copy framebuffer packer with ARGB8888 100% density mapping (1 pixel = 1 scalar).

Spec for Virtio-Net packet-as-computation (PIST) and QEMU graphics backplanes.

Summary: Project overview for the Research Stack (OTOM). Explains that modern computing is wasteful due to floating-point math, and this project proves complex data can be mapped to structural shapes navigated using only integers. Lean 4 is the source of truth with 746 verified modules. Python, Rust, and Verilog are extraction targets only.


Gemini CLI Instructions for Research Stack

Lean source of truth

Primary mandate: all core logic belongs in 0-Core-Formalism/lean/Semantics/. Python, Rust, and Verilog are shims/extraction targets only.

Pure fraction fixed-point type. Used alongside Q16_16 (mixed). Floats banned in core logic.

Statistical rigor

All statistical claims must hit 6.5σ (preferred) or 6σ (acceptable). 5σ is the absolute floor.

SI units

All physical and compression claims must use SI base units.

Wolfram Alpha verification

Verify all mathematical formulas with Wolfram Alpha when possible.

Plan-Act-Validate

Verification workflow: outline Lean implementation, implement in Lean first, run lake build.

Summary: Gemini CLI operating instructions for the Research Stack. Codifies key constraints: no floats, no new dependencies, statistical rigor thresholds, git hygiene, SI units. Defines Plan→Act→Validate workflow with Lean as source of truth.


Claude Code Instructions

ContextStream workflow

Required workflow: init on first message, context on subsequent messages, search before file operations.

ContextStream hooks

System-reminder tags with injected instructions for ContextStream init/context/search enforcement.

Summary: Claude Code instructions enforcing ContextStream-first workflow. Requires init/context/search calls before file operations and enforces hook-based rule injection.


CHANGELOG

Lean Hardening

Period of Lean proof work: closing 9 sorries, fixing SSMS sign bug, correcting false theorem statements, eigensolid convergence proof.

Storage Stack

sqlx 0.7→0.8.6 migration, OpenGL/X11 devcontainer, storage observer agent, Porkbun DNS, postgres backup.

QC flagging tool

Quality control tool for Lean proof inspection with full pass/fail review receipt.

Assumption audit

Full-stack assumption audit across 78 files covering ~280 assumptions.

Deterministic build receipt

3529 jobs, 0 errors build receipt for Lean workspace.

Physics/RG Flow

BodegaFlow horn-fiber refinements, torsion wall derivation, Higgs calibration, multi-valve cosmological tests.

Adversarial duals

16D anchor pack with Anti-FAMM and Anti-BraidStorm documentation and runners.

Gate Library

22+ gate types including Sidon Crossing, Golden Braid Centering, Möbius-Apollonius, Chromatic Homotopy Height, Ahmed Integral.

NUVMAP kernel

Formal coordinate projection layer integrated into the stack.

Triumvirate Kernel

Builder/Judge/Warden consensus with 2/3 fault tolerance.

GCL Self-Host

Child kernel generation with metaprobe gate and lawful boot.

LawfulLoss.lean

BindResult structure (Q0_16, substrate-agnostic) for lawful loss tracking.

Claim-state ladder

Progression: BEAUTIFUL_PROVISIONAL → VERIFIED.

Visual primitive witness

Formalism created and wired into constitution for visual proof witnesses.

KOTC completion daemon

Design, receipt schema, and simulator for Kinetic Operation Token Completion.

InvariantReceipt

Constitutional layer with Receipt, Core, Ledger, Status, SubstrateAdapter; Th1/Th2 proven, Th3/Th4/Th5 deferred.

Summary: Changelog documenting Lean hardening (sorries closed, bugs fixed), storage stack setup (sqlx, Garage, restic), gate library expansion (22+ adversarial gates), physics/RG flow work, and repository consolidation from April-May 2026.


Getting Started — Observerless Research Stack

elan

Lean 4 toolchain manager. Project pins Lean at v4.30.0-rc2. Auto-detects lean-toolchain in Semantics/ directory.

lake build

Lean build command. First build pulls mathlib4 and sparkle from GitHub (~5-10 min). Subsequent builds use cached .lake/ directory.

FixedPoint.lean

Q0_16 and Q16_16 hardware-native arithmetic with zero floats.

BurgersAVM.lean

Verified AVM program for Burgers regularization with correctness theorem.

SemanticsCli

CLI entry point tying everything together in Main.lean.

PIST-GCL compression demo

4-layer manifold compression pipeline: PIST remap → cognitive routing → delta+Huffman → thermodynamic verify.

English manifold builder

Compresses English text via grammar-shape coordinates using PIST. Script: redpajama_english_manifold.py.

Lean benchmark executable for OpenWorm simulation performance.

Lean benchmark executable for MOIM (Multi-Objective Iterative Method) performance.

Summary: Practical setup guide for the Observerless Research Stack. Covers prerequisites (Lean 4, Python 3.10+, Git), installation, building the Lean core (3,500+ proofs), running PIST-GCL compression demo, English manifold builder, and Lean benchmarks. Includes troubleshooting for common build issues.


REBASE RULES — Research Stack Agent / Rules Manifest

Rebase seed

When starting fresh project map, copy only listed files and rules. Port contracts and rituals, not state.

Core Operating Contracts

8 files that are source of truth for every agent, skill, and editor hook: AGENTS.md (root), Semantics AGENTS.md, Infrastructure AGENTS.md, Documentation AGENTS.md, CAD AGENTS.md, QC AGENTS.md, Lean Expert AGENTS.md, RRC Operating Contract.

Editor/Agent Configs

Files injecting contracts into editor runtimes: .cursorrules, .devin/config.json, .claude/settings.json, .mcp.json, etc.

Skills manifest

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

MCP Servers

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

Cornfield Concepts

19 archived concepts in extraction/cornfield_concepts.json recoverable via explicit trigger. Each has a silversight_action (promote_to_foundation, port_as_stub, formalize_in_lean, etc.).

Φ = Σ wᵢ/ln(Nᵢ) — universal field equation. P0 CRITICAL for promotion to foundation.

FAMM 7-domain bank + thermal + scar + dual-map. Skeleton for SilverSight memory model.

N=2^m base alphabet, k=⌊n^(1/m)⌋ shell. Physics grounding for SpectralSignature.

R_O = 1/7 invariant appearing in two independent contexts.

DROP list

Items explicitly not to port: consolidation manifests, headroom DBs, stale audits, historical assignment boards.

Summary: Rebase seed manifest for standing up a new project map. Lists core operating contracts, editor/agent configs, skills, MCP servers, conditional items, and drop list. Includes cornfield recovery manifest with 19 archived concepts and their promotion actions.


TODO Map — Sovereign Stack / Bodega Kernel

Equation Forest

Graph of mathematical/model objects. One registry row per equation/model with id, canonical_name, raw_formula, normalized_formula, source, typed_status, proof_status.

12 foundation kernel signatures: ShannonEntropy, InformationContent, HierarchicalEntropy, CarnotEfficiency, LandauerBound, EnergyBalance, MaxwellDemon, RiemannianDistance, GeodesicConnection, SymplecticGeodesicStep, AggregateLoad, IntrinsicRatio.

DIAT

Shell/integer coordinate transform: (a,b) → (a,b,ab,a-b) with Q16.16 fixed-point.

Shell/topological codec. Shell-state encoding, topological compression. L(X) = Σ bind(zᵢ).

AVMR

Hierarchical vector roll-up from shell coordinates.

GWL

Topology / coupling geometry. PacketState 7-tuple, ThroatCondition, NonEuclideanDistance.

NII

Prediction-observation surprise core. n_t = o_t - p_t with bounded adaptation update rule.

MSNN

Morphic SNN route-prior generator. 16–64 LIF neurons, sparse synapses, STDP-like update.

RGFlow

Torsion-generating admissibility gate. LUT-based lawfulness scorer from 18-bit address.

FAMM

Frustration Aligned Memory Management. fammUpdate: State → RouteResult → State with basin/scar/prior operations.

PIST

Witness / audit surface. witness: Event → ProofStatus → Witness; attest: Witness → Bool.

KOT

Kinetic Operation Token. Action-cost budget for computation.

GCCL-Rep

Representative Bytecode for GCCL transitions.

O-AMMR

Orthogonal AMMR. Committed QR-basis tree.

GCCN

Global Cognitive Consensus Network.

Substrate VM

Executable ISA / opcode layer. Opcode enum, VMState, step, run, totality + roundtrip theorems.

6 × 3-bit bins → 18-bit address. Formalized in Lean with injective addr function and encoding theorem.

Tang Nano 9K

Proof-of-shape FPGA board. Gowin GW1NR-9C with 614 cells, 53 LUT4, 120 ALU, 3 DFFC. Timing: 162.28 MHz.

NS-MΔ

Nibble-Switched Manifold Delta. Sparse topological update protocol with 4-bit CMYK/Control state bridge. 30x compression.

Photonic Witness

Phase H: Perceval witness-grammar encoding of Burgers spectral witness S(x) via photonic circuits.

RRC Equation Projection

Project equation records into nearest lawful RRC shapes. 250 surfaces projected; 29 CANDIDATE, 249 HOLD.

UART Packet Interface

Host feeds 18-bit route states over UART; FPGA returns verdict + torsion.

FAMM Scar/Basin LUT

Small RAM (4096 entries × 24 bits) storing torsion, frustration, basin flags on FPGA.

Eigensolid Convergence Theorem

Proven: braid crossing loop stabilizes. EigensolidConvergence.lean, commit d84569a5.

Language Transfer Probes

6 formalized modules: MediaTransfer, LanguageTransfer, LanguageZoology, GeneticThermodynamicLimit, ExpandedGeneticAlphabet, GeneticAnchor.

Thermodynamic Language Probes

4 modules: ThermodynamicLanguage, LandauerShannon, SemanticBasinOverflow, InformationBottleneckLanguage.

Lean→Verilog Extraction

Formal Lean spec lowers to synthesizable Verilog via codegen or manual extraction.

Equivalence Checking

Same test vectors run through Lean, Verilog, Python; compare outputs bit-exact.

Standards Conformance

ISO 26262 Safety Case, W3C DID/VC Schema, MPEG-G Adapter, Reproducible Replay Harness.

Vocabulary Lock

Frozen names with required input type, output type, failure mode, witness format for each.

Summary: Comprehensive TODO map spanning phases A-K: equation registry, formal Lean core (F01-F12), compression layer (DIAT/S3C/AVMR), FPGA hardware (Tang Nano 9K + PCIe), surface/interface, integration/testing, infrastructure, adversarial harnesses, and standards conformance. Tracks 60+ items with status, blockers, and dependency graph.


Third-Party Notices

Harmonic Shape Transform (HST)

External reference for spectral shape coordinates and semantic eigenvector bundle analogies. By Pavel Krahulik. GNU GPL v3 / CC BY-NC 4.0.

WebGPU Geant4-DNA

External reference for browser-resident WebGPU Monte Carlo track-structure simulation, IRT chemistry, B-DNA SSB/DSB scoring. By Ahmet Baris Gunaydin. MIT.

Summary: Records external works cited by Research Stack notes. Harmonic Shape Transform (spectral shape coordinates, GPL v3) and WebGPU Geant4-DNA (browser Monte Carlo simulation, MIT). Neither vendored, imported, nor reimplemented.


Microstep Guide for Q16_16 Unification Migration

UInt32-based Q16_16 variant used by 27 files. Being migrated to canonical FixedPoint.Q16_16.

Type-only migration

Simple migration for files using Q16_16 only as field types: replace imports and open statements.

Function-using migration

Migration requiring PhysicsScalarBridge for files calling PhysicsScalar functions.

PhysicsScalarBridge

Compatibility layer with toFixedPoint, fromFixedPoint, add, mul, sub, gt, le, and constants (zero, one, two, etc.).

Migration phases

Phase 1: type-only files (ManifoldStructures, Errors). Phase 2: simple function usage (BoundaryDynamics, CausalGeometry). Phase 3: complex (PhysicsEuclidean, PhysicsLagrangian).

Summary: Microstep guide for migrating files from PhysicsScalar/ElectromagneticSpectrum to canonical FixedPoint Q16_16. Covers pre-migration assessment, type-only migration, function-using migration with bridge, common compilation errors and fixes, and verification steps.


Q16_16 Migration Plan

Q16_16 unification

Plan to unify 6 distinct Q16_16 type definitions causing fragmentation across the codebase.

Migration scope

Phase 2: 17 PhysicsScalar consumers (BoundaryDynamics, CausalGeometry, CosmicStructure, etc.). Phase 3: 17 ElectromagneticSpectrum consumers. Phase 4: eliminate duplicate definitions.

Semantic incompatibility

PhysicsScalar uses unsigned arithmetic, FixedPoint uses signed. Bridge handles conversion but behavior may differ.

Overflow behavior

Different saturation/clamping strategies between Q16_16 type variants.

Summary: High-level migration plan for Q16_16 unification. Identifies 6 duplicate definitions, 44+ consumer files, semantic incompatibilities between signed/unsigned variants, and phased approach: compatibility layer → incremental migration → duplicate elimination.


Q16_16 Type Unification - Analysis and Plan

6 Q16_16 variants

Canonical (Int, ~421 files), PhysicsScalar (UInt32, 27 files), ElectromagneticSpectrum (UInt32, 17 files), OTOM (struct UInt32), RcloneIntegration (struct Int, 3 files), MetaManifoldProver (Int, 0 files).

PhysicsScalarBridge.lean

Compatibility layer created for migration with conversion functions between PhysicsScalar and canonical FixedPoint.

Demonstration of unification approach.

Migration benefits

Single source of truth, eliminate code duplication, centralize lemmas/theorems, simplify maintenance, reduce cognitive load.

Summary: Analysis of Q16_16 type fragmentation: 6 distinct definitions across ~468 files. Identifies semantic differences (signed vs unsigned), documents completed work (PhysicsScalarBridge, demo), and outlines three-phase migration plan with risk mitigation.


Adversarial Review: Self-Adapting Compute Fabric

Self-adapting compute fabric

Vision for self-healing distributed compute fabric. Review finds 90% aspirational, no MVP, premature abstraction.

Bootstrap agent critique

Single-shot bootstrap agent fails because nodes reboot, tokens expire, hardware changes, nftables reset. Needs watchdog companion.

Adaptive scheduler critique

Ray doesn't support dynamic dispatch to specific nodes at call time. Must use resource-constrained @ray.remote with tier fallback.

FrameDispatcher critique

Currently synchronous Python function on single machine, not distributed. Routes through dict lookup, not scheduler.

Edge Caddy SPOF

No SSH access to racknerd, kubelet breaks on restart, manually maintained config. Edge should be cattle, not pet.

Capability Registry SPOF

Trailbase as single database for node registration is single point of failure. k3s API labels already have this data.

Ray Head HA

Ray head pinned to steamdeck via nodeSelector. Single node failure kills all in-flight tasks and scheduler.

NodePort allocation

20+ manually assigned NodePort services with no central allocation, collision-prone. Need central YAML, Traefik Ingress, or admission webhook.

BATCH/WASM tiers

GitHub Actions has no inbound networking; Cloudflare Workers can't do GPU compute. Neither is ready for the proposed workflow.

Real MVP

Three files: node_watchdog.py (systemd timer), nodepool_watcher.py (k3s Deployment), port-registry.sh (Caddy config). No new databases.

Summary: Brutally honest adversarial review of a self-adapting compute fabric design. Identifies 10 issues: bootstrap agent needs watchdog, Ray doesn't support dynamic node dispatch, FrameDispatcher isn't distributed, edge Caddy is SPOF, capability registry is SPOF, Ray head has no HA, NodePorts are collision-prone, BATCH/WASM tiers are handwaved, no MVP exists. Proposes 3-file real MVP.


Airtable Import Guide for Compute Substrate Research Database

Compute substrate research database

7-table Airtable database encoding compute substrate research from $10 embedded morphic field computers to EPYC fabric configurations.

Hardware Substrates

7 compute substrates: Physical Entropy, Harvested Cycles, Display Interface, Empirical Discovery, Coordination, Overkill. With cost/bandwidth/complexity metrics.

Math Workloads

7 mathematical workloads: Fractal Geometry, Cellular Automata, Game Theory, Soliton Fields, Sidon Sets, Topology. With optimal substrate mapping.

Performance Metrics

Operations/sec, bytes/sec, ops/$ ratios, power, latency, scalability, efficiency ratings per substrate-workload combination.

Scaling Analysis

Hardware class evolution from 6502 to EPYC SP5. Sweet spots: ARM1, Core 2, Pi 2W.

Integration Patterns

6 patterns combining multiple substrates for Embedded, Desktop, Server, Data Center, Research use cases.

TOSLINK Entropy

Physical optical imperfections as deterministic stochastic channel. Infinite ops/$.

Spatiotemporal RAM

1km+ fiber spool: light propagation delay = memory addressing. 5μs propagation = 5,000 temporal slots. Zero power storage.

Menger sponge QR

XOR, bit shifts, addition workload. Perfect for cheap hardware. Cache-friendly, embarrassingly parallel.

Distributed quine

s_next(Node_i) = e(Node_j) across network. Communication costs: Λ_net = Λ_local + λ·d_torus.

Summary: Import guide for an Airtable database encoding compute substrate research. 7 tables covering hardware substrates (TOSLINK entropy, USB-C SFP, PCIe idle cycles, HDMI TMDS abuse), math workloads, performance metrics, scaling analysis (6502 to EPYC), integration patterns, and optimal configurations. Sweet spot: $10-200 range.


Claude Code Session Log — Research Stack Setup & Strategy

ContextStream setup

Fixing half-installed ContextStream: hooks were wired but MCP server never registered with Claude Code. Registered at user scope.

MCP server registration

Registered lean-lsp, nixos, k8s, arxiv, wolfram-alpha MCP servers. All connected after restart.

Tiered proof workflow

4-tier attack: Tier 1 tight interactive loop (lean-lsp), Tier 2 cheap breadth (neon Gemma), Tier 3 parallel verification (Ray), Tier 4 frontier tracking (CronJob + Prometheus).

Nutbreaker prompts

4 single-shot Tier-1 prompts written: SSMS L1 Contraction, AdjugateMatrix cofactor_identity, BraidSpherionBridge repair, BurgersBridge axiom discharge.

Rainbow Raccoon Compiler (RRC)

Admissibility/receipt gate: every projection gets ACCEPT/HOLD/QUARANTINE backed by payload identity, type witness, residual policy, replay evidence.

RRC corpus status

33,890 equations tagged, mostly LogogramProjection (27,661). 33,885 of 33,890 missing receipt_density axis — corpus stuck at HOLD.

Erdős #329 synthesis

How dense can an infinite Sidon set be? Erdős–Turán: ≤ 1. Open as of 2026. Ruzsa/Cilleruelo √2−1 exponent is current frontier.

Singer difference sets

Finite projective geometry construction generating Sidon sets from short programs. Pilatte 2023 solution to Erdős–Sárközy–Sós runs through Singer.

DualQuaternion braid state

8D structure (two quaternions, 8 Q16_16 components) at BurgersPDE.lean:179. The 0D genus mapping. Energy non-negativity proven.

Burgers→0D braid isomorphism

Proven: any Burgers state maps to a DualQuaternion, the 0D genus acts as fixed point. Central DST theorem in action.

16D manifold decomposition

V₁₆(k) = q_void(k) ⊕ q_orbit(k) ⊕ q_braid(k) ⊕ η_observer(k). Projects to 4D active chart O₄ = (field, shear, packet, spectral).

Dimensional Shock Trim (DST)

M₁₆ → A₀ + residual. The 12 remaining dimensions are receipted (Underverse), not discarded.

Paint Physics ↔ Linear Algebra

Kubelka-Munk pigment mixing isomorphic to sphere packing in 512-dimensional space. K/S absorption ratio = per-MAC truncation error.

Kolmogorov 4/5 law ↔ Color gate

Turbulence cascade maps to spectral color classification. Fully developed cascade → Red, Intermittent → Green, Laminar → Blue.

Jarzynski Equality as gate

Fluctuation theorem from nonequilibrium thermodynamics used as computation admission gate. gateCondition(residual, threshold).

English Word Bonding

CAGE, BRIDGE, CHAIN, SCAR, SALT, RING are formal operators with typed signatures. English morphology becomes a router DSL.

HDMI soliton compute

TMDS lanes repurposed as soliton field parameter transport. Pixel clock = dimensional index. DDC/I2C = ZK proof verification.

Cancer as compression failure

Oncogene activation = lossy compression, p53 mutation = checksum failure, telomere erosion = broken EOF handling.

Imaginary Semantic Time (IST)

Staged sequence of strengthening systems addressing Chaitin's incompleteness. Semantic axis indexes certification stages.

Semantic mass numbers

Observer-independent manifold coordinate. Observation = residue class (semantic mod ℓ) at native resolution. No privileged ℓ.

Compression razor

If you can't compress it, you're either doing it wrong or there's something you're not seeing. Valid for math (short channel), bounded by Chaitin for arbitrary strings.

Framework assessment

Strengths: antibodies (RRC fail-closed), defensible core (transport of structure), tiered prover pipeline. Concerns: axiom budget inconsistency, names claim more than theorems prove, no external interface.

Research execution plan

5 tracks: A-Substrate (infrastructure), B-Formal debt (nutbreakers), C-Erdős #329 ladder, D-Metamathematical grounding, E-External interface.

Summary: Extended Claude Code session log covering ContextStream MCP setup, nutbreaker prompt writing (4 Tier-1 proof targets), Rainbow Raccoon Compiler corpus analysis (33,890 equations, 33,885 at HOLD), Erdős #329 synthesis program, 16D manifold decomposition with DualQuaternion braid state, cross-domain isomorphisms (paint physics, Kolmogorov, cancer, English words, HDMI), Chaitin's incompleteness addressed via imaginary semantic time and semantic mass numbers, framework assessment, and 5-track research execution plan.


6-Documentation

OTOM

Ordered Transformation & Orchestration Model

PIST

Perfectly Imperfect Square Theory

ENE

Endless Node Edges - self-replicating consensus mesh

AMMR

Algebraic Merkle Mountain Range

FAMM

Frustration-Aware Manifold Mesh

SVQF

Spherical Quaternion Vector Field

Summary: Top-level documentation directory README. Registers acronyms (OTOM, PIST, ENE, AMMR, FAMM, SVQF, SLUQ, TTM) and maps source papers to destinations.


Elevator Pitch: Sovereign Stack

Integer-only compute

Achieving structural data routing using only whole numbers instead of floating-point

FPGA deployment

Running models on cheap FPGA chips instead of GPUs for near-zero power

Lean 4 formal verification

3500+ machine-verified proofs ensuring integer engine stability

Summary: Concise pitch: the stack replaces floating-point GPU math with proven-correct integer arithmetic, enabling FPGA deployment at pocket-calculator power levels.


The Sovereign Stack: Explanation for Humans

Pure Integer Routing

System routes data, compresses, and evaluates logic using only +,-,*,/

Topological State Machine

A graph router that determines where data goes next

Manifold State Point

An integer index tracking position in the state space

Q16.16 Fixed Point

Fast math trick for fractions without floating-point

Betti Numbers

Loop counter detecting if data router gets stuck in circles

Landauer Compression

Energy cost of erasing memory

Summary: Plain-language translation of academic terms. Maps Topological State Machine to graph router, Manifold State Point to index, Q16.16 to fast fraction math, Betti numbers to loop counters.


Research Stack Project Map

bind primitive

Universal lawful translation primitive with cost functions

Q16_16 fixed point

Hardware-native arithmetic with zero Float in compute path

PBACS

Canonical state constitution with prohibited-state predicates

AVM ISA

Adaptive Virtual Machine instruction set architecture

RRC alignment classifier

Rainbow Raccoon Compiler alignment gate

SieveLemmas

Coprime sieve observer with CRT reconstruction

InteractionGraphSidon

Weak-axis projections with Sidon witness

SDPVerify

SDP certificate verification engine

Summary: High-level pointer from concepts to canonical files. Maps core formalism modules, infrastructure shims, documentation maps, and build gate (3314 jobs, 0 errors).


Research Stack Infrastructure

Tailscale Mesh Network

Self-hosted bare metal nodes connected via Tailscale VPN

k3s Cluster

Lightweight Kubernetes cluster (v1.35.4+k3s1) with Flannel CNI

SUBLEQ CPU on FPGA with 4K memory and UART

Q16 LUT Core

Hardware fixed-point arithmetic unit, 8 ops, 2-stage pipeline

VCN Compute Substrate

Video-as-compute using GPU hardware encoders for fixed-point vector processing

Ollama Inference

Local LLM inference serving deepseek-coder-v2:16b

Authentik OIDC

SSO authentication for web endpoints

Caddy TLS

Porkbun DNS-01 wildcard certificates

Summary: Complete infrastructure documentation: 5-node Tailscale mesh, k3s cluster with 7 namespaces, Tang Nano 9K FPGA (Blitter6502OISC), GPU compute via VCN, Ollama serving, and API services.


FPGA Programming Guide — SUBLEQ on the Blitter

SUBLEQ

Subtract and Branch if Less-than-or-Equal to Zero - one instruction set computer

Q16 LUT

Hardware fixed-point arithmetic unit with 8 opcodes at 74ns latency

Voltage Controller

BRAM access mode manager (STORE/COMPUTE/APPROX/MORPHIC)

Scale Space BRAM

4 Gaussian kernel banks (σ=0.25/0.50/0.75/1.00)

HiGHS Pivot

3-stage simplex pipeline for hardware LP solving

UART beacon

Serial communication at 115384 baud for FPGA I/O

Summary: Complete programming guide for the SUBLEQ CPU on Tang Nano 9K. Covers instruction format, memory map, Q16 LUT operations, voltage controller, scale space, HiGHS pivot registers, and example programs.


API Documentation — Research Stack Services

Credential Server

Token issuance and validation service

Registry API

Artifact registration with type/since/limit filtering

Jobs API

Lean build job management with SSE log streaming

Blobs API

Binary blob storage with SHA-256 verification

Authentik OIDC

OpenID Connect provider for SSO

Summary: Full REST API documentation for Credential Server, Registry API, Jobs API, and Blobs API. Includes Authentik OIDC configuration, rate limits, and response codes.


Disaster Recovery — Research Stack

etcd snapshot

k3s cluster state backup via etcd-snapshot save

FPGA bitstream recovery

Rebuild and re-flash from git repo source

age key backup

sops-nix encryption key backup and restore

Recovery priority order

Tailscale → Git → age keys → k3s → DNS → FPGA → Services

Summary: Backup and restore procedures for all stack components. Defines recovery priority order (Tailscale first, then Git, age keys, k3s, DNS, FPGA, services) with full system checklist.


Ops Runbook — Research Stack

k3s cluster ops

Start/stop, health check, restart pods, view logs

FPGA flash procedure

Build, flash via USB-JTAG, verify LEDs and UART

Tailscale funnel

Edge node funnel routing to Traefik NodePort

GPU monitoring

nvidia-smi checks and Ollama model management

Escalation matrix

First response → escalation path for each failure type

Summary: Quick-reference operational procedures for k3s, FPGA, Tailscale, GPU, and DNS. Includes common failures (CrashLoopBackOff, FPGA unresponsive, Tailscale tunnel down) and escalation matrix.


Rigorization of the 16D Rotation / Yang Column Formalism

Kähler vector space

ℝ¹⁶ as ℂ⁸ with almost-complex structure J, metric g, symplectic form ω

Two-out-of-three theorem

O(16) ∩ Sp(16,ℝ) ∩ GL(8,ℂ) = U(8); any two of {g,ω,J} imply the third

Golden spiral map

S(z) = c + φ⁻¹e^{iθ_g}(z−c) - simultaneous contraction and 16D rotation

Yang column

U(1) vortex/flux tube with quantized winding number

Cauchy-Riemann ⟺ J-equivariance

Holomorphic motion and Kähler compatibility are the same condition

Even unimodular lattices

E₈⊕E₈ and D₁₆⁺ as the two 16D even unimodular lattices

Moran equation

N·(φ⁻¹)^D = 1 gives attractor dimension D = ln N / ln φ

Wilson plaquette

Integer-native lattice gauge theory: F_p = Σ_{e∈∂p} A_e

Summary: Rigorous mathematical foundation for 16D rotation: Kähler structure, golden spiral map with φ²·ULP drift bound, Yang column as quantized flux tube, Cauchy-Riemann equivalence, even unimodular lattices (E₈⊕E₈, D₁₆⁺), and chaos-game dimension budget.


Calculator-Plain Math: The Entire Research Stack

Nibble Switch

4-bit transition atom: nibble = control * 4 + domain

Manifold State Point

Locus update with curvature EMA: new = 0.7*old + 0.3*target

Shannon Entropy

H = Σ -p*log2(p) measuring unpredictability

Power-Law Fit

Zipf exponent: alpha = 1 + N / sum(log(rank/count))

Hutter Prize Score

C = (0.4*C_comp + 0.35*C_phys + 0.25*C_geom) * (S/(G+F))

Betti Numbers

Topological invariants: β₀ connected components, β₁ loops, χ = V-E+F

Summary: Every equation in the project reduced to +,-,*,/,^,log. Covers Nibble Switch, Manifold State Point, Shannon Entropy, Power-Law Fit, Hutter Score, Grand Compression Equation, Betti Numbers, and Cache Statistics. A high school student could verify every number.


ISO 26262 Safety Case: Q16_16 Fixed-Point Core & TSM

HARA

Hazard Analysis and Risk Assessment for Q16_16 arithmetic subsystem

FMEA

Failure Mode and Effects Analysis at software/hardware boundary

ASIL D

Highest automotive safety integrity level classification

TSM

Topological Safety Monitor with Builder/Warden/Judge clock domains

Arithmetic Saturation Overflow

HAZ-01: Results exceed bounds causing step discontinuities

Zero-Denominator Divergence

HAZ-02: Division by zero/near-zero in Cramer solver

TSM Domain Desynchronization

HAZ-03: Clock domain misalignment causing stale feedback

Summary: Automotive-grade safety case (ASIL D) for Q16_16 and TSM. Identifies 3 hazards (arithmetic overflow, zero-denominator, clock desynthesis), provides FMEA with diagnostic coverage, and links to Lean formal mitigations.


RGFlow: Event-Genome Lawfulness Filter

RGFlow Filter

Formal informatic membrane isolating scale-stable mathematical structure from noise

Unified Adaptation Engine

6D quantized manifold evaluating informatic genome fitness

AVMR Spectral Audit

Genetic-code-derived mapping detecting mathematical constants via signature density

Scale-Persistence Predicate

RGFlow operator requiring information stability across abstraction steps

Blind Detection Theorem

Formal proof of rejection of all non-scale-coherent phases

Summary: Invention record for RGFlow filter: a formal membrane that isolates scale-stable mathematical structure from cryptographic noise. Tested blind on 1M-bit stream with zero false positives. Lean 4 formal proof included.


Dependabot Alert Exceptions - 2026-05-12

Transitive dependency exceptions

Blocked upstream constraints preventing direct dependency updates

ml-dsa exception

servo-script requires ml-dsa ^0.0.4; patched 0.1.0-rc.5 incompatible

glib exception

Tauri/GTK stack pins glib v0.18.5; direct 0.20 update rejected

thrift exception

parquet depends on thrift v0.17.0 with no patched release

Summary: Ledger of remaining Dependabot alerts after direct dependency updates. 5 tracked transitive exceptions (ml-dsa, rand, glib, thrift) with blocker chains, local mitigations, and unblock conditions.


ENE-RDS Rust Workspace — Multi-Agent Review Report

ene-rds-core

Rust crate for RDS database operations with TLS and Q16_16 arithmetic

ene-node

Rust crate for distributed ENE node with UDP gossip and HMAC-SHA256

Hash-chain receipts

SHA-256 receipt chain with parent links for auditability

2/3 majority consensus

BFT consensus threshold: (total * 2) / 3

Summary: Multi-agent review of 8-crate Rust workspace. Build PASS, Security CONDITIONAL PASS (TLS + HMAC gossip fixed), Correctness PASS WITH NOTES, Documentation PASS. Zero unsafe blocks, Q16_16 arithmetic correct, hash-chain receipts verified.


SilverSight Specification

SilverSight

Clean-slate successor to Research Stack: substrate-agnostic compute fabric

Schema/Layout/WireFormat

Three-layer separation: schema defines size, layout defines encoding, WireFormat certifies roundtrip

DynamicCanal

Physical instantiation abstraction (1-Wire, PCIe, DRAM, JSON)

Claim-state ladder

BEAUTIFUL_PROVISIONAL → CALIBRATED_ENGINEERING_DELTA → REVIEWED → VERIFIED

Summary: Clean-slate successor keeping formally verified concepts while discarding duplication. Every concept has a stable ID, Lean definition, and receipt. All decisions in Lean; Python/Rust/Verilog are extraction targets only.


Virtio-Net DMA Compute Fabric & Packet-as-Computation (PIST)

PistPacket

Compute frame with Ethernet header, computation_id, coordinate_path, witness_hash, and Q16_16 payload

Toeplitz RSS

NIC hardware RSS exploited as binary matrix-vector convolution at line rate

Packet-as-computation

Ethernet packets are computation state capsules, not serialized payloads

Coordinate path

QuadTree addressing for spatial partitioning encoded in packet header

Summary: Treats virtualized Ethernet as high-throughput, zero-copy DMA computation backplane. Maps NIC ASICs (RSS, TSO, FCS) to linear algebra operators. Packets carry computation state, not serialized payloads.


Vectorless Spatial Hash Architecture - Technical Review Response

Spatial hash codec

Morton code (Z-order) preserving semantic locality for vectorless storage

Voltage mode classifier

Lean-owned decision logic with Python wrapper only

Q0_16/Q16_16 internal arithmetic

All internal arithmetic uses fixed-point, no Float in compute paths

Summary: Technical review corrections: moved decision logic from Python to Lean, fixed Lean/Python semantic drift, confirmed Morton code locality, enforced Q0_16/Q16_16 internal arithmetic.


Unified Manifold-Blit Equation

Manifold-Blit Equation

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

Blitter Operator

Hardware-accelerated bitwise accumulation (discrete Picard integral)

DAG-LUT

Hash check + teleport short-circuit for solved states

Quantum Walk Amplitude

Superposition of potential paths for quadratic convergence

Summary: Unified equation combining DAG-LUT short-circuiting, quantum sampling, drift correction, and blitter accumulation. Claims O(1) complexity (speed of a Bit-Blit) vs traditional O(n²) Picard iteration.


Tag-Addressable Compute Fabric (TACF)

Tag rings

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

Copy-if pattern

Content-addressed Ray ObjectRef: same payload = same hash = no copy

HEP as LUT

Hardware capability as tag subscription table, not device tree

Node self-selection

Nodes subscribe to tags they can handle; no scheduler or registry

Summary: Ground-up distributed compute design: work published to tag rings, nodes self-select based on capability. 6 tags, 5 primitives (Tag, Subscription, Descriptor, Ring, LUT). No scheduler, no registry, no health monitor.


Self-Adapting Compute Fabric

Node Bootstrap Agent

One-shot node initialization: tailscale_up → detect_hardware → build_labels → register → join_k3s

Capability Registry

Node capability auto-detection and k3s label generation

Adaptive Scheduler

Orchestrator engine routing based on node capabilities

Summary: Design for automatic adaptation to node changes (churn, scaling, degradation). Node Bootstrap Agent auto-detects hardware, generates k3s labels, and joins cluster. Orchestrator routes based on capabilities.


Semantic Degenerate Tensor Adapter (SDTA) Specification

SDTA

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

Portability coefficient η

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

DegenerateChart

Chart where eigensolid is degenerate (Laplace instead of Helmholtz)

SMN

Semantic Mass Number measuring structural load

Summary: Reformulates NP-hard search as deformation theory. Key insight: 'impossible' ≠ ∞, it means NaN (coordinate failure). Portability coefficient η measures how much structure survives degenerate projection.


Quantization Specification

Ternary weight quantization

RoundClip(W/(γ+ε), -1, 1) → {-1, 0, 1} for 10× memory reduction

BitLinear activation

Clip(x × Q_b/(η+ε)) preserving dynamic range

MLGRU recurrence

h_t = f_t ⊙ h_{t-1} + (1-f_t) ⊙ c_t - no matrix multiplication

Ternary packing

2 bits per weight, 4 weights per byte, ~10× reduction with overhead

Summary: Ternary weight quantization achieving 10× memory reduction vs FP16. Includes BitLinear activation scaling and MLGRU (MatMul-free) recurrence reducing computation from O(d²) to O(d).


Lonely Runner Conjecture — Betti-2 Topological Obstruction Mapping

Lonely Runner Conjecture

For k runners with distinct speeds, ∃t where min_i dist(v_i*t, 0) ≥ 1/(k+1)

Coverage density Φ

Σ 1_{B(v_i*t,δ)}(θ) measuring runner illumination at angle θ

Scar region M_t

Uncovered set where Φ(t,θ) = 0 (loneliness field)

NK-Hodge-FAMM mapping

Isomorphism between lonely runner structure and FAMM components

Summary: Maps the Lonely Runner Conjecture to NK-Hodge-FAMM topological obstruction framework. Establishes isomorphism: runner speeds ↔ velocity field, coverage density ↔ photon field, scar ↔ loneliness. Does not prove the conjecture.


Cole-Hopf + Vorticity Tension: Rigorous Resolution

Cole-Hopf transformation

u = -2ν₀·∇(ln Φ) mapping velocity to heat equation

Vorticity tension

Cole-Hopf velocity is irrotational (∇×u=0) yet NS requires ω≠0

Hodge decomposition resolution

Full state is DualQuaternion Q=(Q₁,Q₂)∈ℝ⁸, not just (u,Φ)

DualQuaternion

Q₁×Q₂ = ℝ⁴×ℝ⁴ bridging Burgers PDE and braid algebra

Summary: Resolves the apparent contradiction: Cole-Hopf makes velocity irrotational but NS needs vorticity. Resolution: full state is DualQuaternion in ℝ⁸, enabling Hodge decomposition with non-zero curl component.


Witness Grammar Specification

Witness Grammar

Finite symbolic source code recovered from a field (frequency, amplitude, phase, routing role)

Equation Sniffer

Sniffs witness grammars (not raw data) to suggest routing

Market-Data Bridge

Same pipeline applied to price/volume/news for behavioral operator classification

Summary: FNWH decompiles fields into witness grammars; Equation Sniffers compare grammars; market filter searches for shared behavioral operators. Defines the pipeline: raw field → FNWH peeling → WitnessGrammar → EquationSniffer → route.


Universe Model Orbit-Zoom Protocol

Orbit View

Classify problem at orbit height using unified equation as orbital map

Zoom Ladder

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

Torsional fluid baseline

Assigned vs derived values distinction in torsional PIST

Summary: Navigation and receipt protocol for mapping problems into mathematical continents. Defines orbit view (classify at height) and zoom ladder (orbit → region → state → derivation → receipt → gate). Key distinction: assigned vs derived values.


Unified Transport Encoding Architecture

TMDS Lane Encoding

Wire encoding over GPU display controller for DP/HDMI PHY

VCN Video Encoding

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

Mesh Multi-Transport Routing

Transport selection, fragmentation, multi-hop relay, fallback

Unified envelope

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

Summary: Three-agent transport architecture: TMDS lane encoding (HDMI/DP PHY), VCN video encoding (Steam Deck MKV trick), and mesh multi-transport routing. Defines unified envelope wire format and fragment headers.


Unified Signal Architecture — DisplayPort × Audio × FPGA

NUVMAP Texel Stream

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

DisplayPort 8K60

33.18M texels/frame, 4 lanes carrying φ-phase, amplitude, tensor, witness

PipeWire Audio

192kHz/24-bit with TSM thermal (left), waveprobe (right), GCL delta (center)

Unified Frame Sync

DP VSYNC = audio buffer swap; VBLANK = TVI samples + audio FFT bins

Summary: Bridges DisplayPort 8K60, PipeWire 192kHz audio, and FPGA Tang Nano 9K into one texel state machine. DP lanes carry φ-phase/amplitude/tensor/witness; audio carries TSM thermal/waveprobe/GCL delta.


Two-Layer Kinetic Sidon Lattice v0.1

Kinetic lattice

Layer 0: local motion, energy, phase-clock, update dynamics

Sidon relational lattice

Layer 1: pair signatures, anti-aliasing, addressable relational channels

KineticToSidonFlow

Kinetic flux produces Sidon pair signatures

SidonToKineticFlow

Sidon addresses feed back into kinetic updates

Summary: Two coupled layers: kinetic (motion/energy) and Sidon (pair-address routing). Sidon sets flow between layers rather than being static. Gives motion with addressability, coherence without alias collapse.


Topological Braid Adapter Specification: Fibonacci Anyon Isomorphism

TopologicalBraidAdapter

Mathematical bridge showing HydrogenicPhiTorsionBraid is isomorphic to Fibonacci Anyon System

ColorRope → DualQuaternion

CMYK channels map to dual quaternion coordinates (Zhang et al.)

stairIndex → SLUG3State B_3 Word

Crossing events map to braid group generators (Rouabah)

tensegrityCoherent → Yang-Baxter

Static equilibrium is isomorphic to Yang-Baxter equation

Fibonacci Anyon System

Topological quantum computing with anyon fusion and braiding

HydrogenicPhiTorsionBraid SLUG3 UnitQuaternion GoldenRatioSeparation

Summary: Establishes 5 isomorphisms between Research Stack constructs and Fibonacci Anyon System: ColorRope↔DualQuaternion, stairIndex↔B₃ word, tensegrityCoherent↔Yang-Baxter, phi_pow↔braid matrices, Zeckendorf↔fusion tree.


Tiny IP Surface Spec

Cooperative event loop

Contiki-inspired cooperative processes for embedded nodes

Fixed packet buffers

96-byte MTU, 4 RX/TX buffers for constrained systems

Omnitoken shell

Shell layer moving admitted scalars between observer charts

Admission before expansion

Node refuses work before payload expansion if buffers full

Summary: Contiki-inspired shell for embedded GCL/Omnitoken nodes. Cooperative event loop, fixed 96-byte MTU packet buffers, timers instead of blocking, admission before payload expansion.


Symbology-Derived Logogram Design

Safe quarry rule

Borrow compression principle, not protected symbol identity

Omindirection atoms

Original atoms with explicit direction/chirality/phase/placement

Source classes

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

Borrowable principles

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

Summary: Defines safe extraction of compression principles from dense symbolic systems (APL, Hanzi, Hangul, Cuneiform, etc.) into original Omindirection atoms. Rule: borrow the compression principle, not the protected symbol identity.


Functional Specification: SSMS-nD

SSMS-nD

Scalar State Manifold Segmentation with variable dimension n∈[1,N_max]

Sequential Lifting Operator

L_{1D→n}: lifts 1D sequence into ℝ^n via learned coordinate chart

Dynamic n selection

n = argmin[‖L_n(I) - Prompt(I)‖² + λ·Complexity(n')]

OISC architecture

One Instruction Set Computer operating on dynamic n-manifold

Holonomic constraints

Linear via ACI, nonlinear via Lagrange multipliers in V_M

Summary: Promptable object detection on dynamic n-manifolds. Lifts 1D sequences into variable-dimensional spaces using ternary-quantized lifting operators. OISC architecture with holonomic constraints.


SMN: Semantic Mass Numbers

SMN

Semantic load carried by a symbol inside the stack (not atomic mass)

Semantic Mass pipeline

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

SMN formula

identity_load + relation_load + provenance_load + constraint_load + decision_load + repair_load

Summary: Defines Semantic Mass Number as a project-local semantic-load measure. SMN measures how heavy a symbol is inside the model. Pipeline: pressure → SMN score → Mass Number packet → admissibility receipt.


Semantic Engine Binding Derivation Workbench

Conceptual binding

Relation making a semantic engine useful (document→chunk, chunk→embedding, etc.)

Research Stack re-derivation

Every external binding rebuilt through bind, ConceptVector14, Address-First Search

ENE plugin connector

hotswap plugin: scan → plan → commit → verify

Summary: Design method for inspecting MIT-licensed semantic engines, identifying minimum conceptual bindings, and rederiving them from Research Stack primitives. Keeps the path clean: external engine → observation → local primitive → ENE plugin.


Receipt Core Infrastructure v0.1

Receipt infrastructure

Safety and evidence-routing layer: executable → benchmark → adversarial-trial → candidate → proof receipt → reviewed

Proof receipt gate

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

InvariantReceipt

Lean receipt type preventing self-promotion

Summary: Minimal receipt infrastructure: workspaces may execute and benchmark but cannot self-promote to reviewed without explicit proof receipt. Defines the promotion pipeline: executable → benchmark → adversarial → candidate → proof gate → reviewed.


Research Stack Address Space: Mountain on Mountains (MS3C-RG)

NUVMAP

Hierarchical meta-topological address space: (u,v,m) on 14-axis hyperbolic manifold

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

Matroska Shell

Recursive shell depth S_k representing conceptual distance from Core Formalism

Crystalline Core S_0

OTOM at origin: m=1.0, maximum activation, zero-drift reference

Summary: Mountain-on-mountains hierarchical address space. Each project mapped to NUVMAP (u,v,m) on 14-axis manifold with Genome18 bit-exact addresses. OTOM at S_0 (origin), infrastructure at S_2, external/forked at S_4, archive at S_{-1}.


DP-RRC: Depth-Prefix Receipt Encoding for the Rainbow Raccoon Compiler

BraidReceipt

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

BraidBracket

B(κ,μ) = {lower, upper, gap, kappa, phi, admissible} from PhaseVec

Sidon labels

Powers of 2: {1,2,4,8,16,32,64,128} for 8 strands — all pairwise sums unique

Depth-prefix encoding

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

eigensolid convergence

detected when crossStep(s) = s; step count k encodes contraction strength

Summary: Depth-prefix receipt encoding for RRC compressor. 6 receipt dimensions (C,σ,k,ε_seq,t,∅_scars) ARE the compressed state. BraidBracket computed from PhaseVec octagonal norm. Sidon labels give collision-free crossing addresses.


Canonical Specification for the Adaptive Virtual Machine (AVM)

AVM Core

Lean-defined ISA: finite opcodes, finite value types, deterministic step/run semantics

Adapter shims

Python/Rust/C backends that strip/serialize/reinterpret into AVM programs

Closed-world opcodes

Finite and enumerable instruction set defined as Lean inductive

Summary: Canonical AVM design: Lean-only ISA with finite opcodes and value types. All non-Lean languages are adapter shims that strip/serialize into AVM programs. They may not introduce new ISA meaning or add ad-hoc branching policy.


GCCL Encoding Contract

GCCL

Geometric, Cognitive, and Compression Law — decides if transformation is lawful enough to promote

Transition encoding

GCCL encodes transitions (source→transform→target→receipt decision), not just objects

Summary: GCCL = Geometric, Cognitive, and Compression Law. Encodes transitions, not objects. Every encoded object declares 7 law surfaces: Geometric, Cognitive, Compression, Residual, Cost, Scale, Receipt.


DisplayPort × NVENC Texel Stream Specification

8K60 texel transport

7680×4320@60Hz = 33.18M pixels/frame, ~100 MB/s raw texel bandwidth

NVENC 8-session encoding

8 concurrent H.265 sessions: φ-phase, amplitude, velocity tensor, witness, VBLANK, HBLANK, DDC, CEC

Texel lane mapping

Lane 0: φ-phase, Lane 1: A_n amplitude, Lane 2: v_ij tensor, Lane 3: witness

Summary: 8K60 texel transport via DisplayPort + NVENC hardware encoding. 8 concurrent sessions carrying φ-phase, amplitude, velocity tensor, witness, VBLANK TVI, HBLANK mistake vectors, DDC attestation, CEC clock.


ENE Memory Atlas Spec

MemoryAtom

One record with voxel_key, manifold_5d, concept_vector, fractal hash triplet, Q0_16 scalar

Fractal hash triplet

direct_hash + subtree_fold + parent_fold for integrity verification

14-axis concept vector

Signed Q0_16 axes weighted by φ^{-i}

ENE Memory Atlas

Unified address-first, signed, MMR-attested, BFT-replicated memory surface

Summary: Unified addressable memory surface for all LLMs. MemoryAtom carries voxel_key, 5D manifold point, 14-axis concept vector, fractal hash triplet, signed Q0_16 scalar, and three projection lanes. MMR-attested, BFT-replicated.


HDMI Field Encoding Specification

TMDS lane hijacking

3 TMDS lanes repurposed for soliton φ-parameter, amplitude, velocity tensor

Control period abuse

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

DDC witness exchange

I2C channel repurposed for soliton witness exchange

White hole decoder

Receiver reconstructs soliton field; display is decoder, not framebuffer

Summary: Physical layer hijacking of HDMI: TMDS lanes carry soliton field parameters, Data Islands carry topology metadata, DDC channel carries witness exchange. Display becomes a white hole decoder.


Projectable Geometry Compressor Spec

Projectable geometry compression

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

Residual sidecar

Every displaced coordinate tracked in a residual lane

Compression inequality

K(model) + K(residuals|model) < K(raw objects) required for promotion

Summary: Compressor design turning large objects into shared projectable geometry + compact carrier symbols + bounded residual sidecars + exact rehydration receipts. No compression claim promoted until benchmarked against baselines.


Phi-S3C-PIST Bridge Spec

Phi-S3C-PIST bridge

Connects Phi center to S3C shell coordinates and PIST witness transport

Role boundaries

Phi_field=cost comparison, S3C=shell atlas, PIST=witness transport, phinary=indexing, GraphML=lineage

Bridge record

JSON with phi_role, s3c_role, pist_role, phinary_id, lineage_role per node

Summary: March orders connecting Phi center to S3C coordinates and PIST transport. Each node gets a bridge record with phi_role, s3c_role, pist_role, phinary_id, and lineage_role.


Morphic Neural Network Routing Layer

MNN routing layer

Adaptive path formation between LUT admission and GCL codons

Goal-aware routing

MNN interprets packet goal (health, attest, compress, recover, route) and selects path

Morphic topology

Routing tables reshape based on current manifold state

Summary: Low-level adaptive routing between LUT admission and GCL codons. Not deep learning — a morphic router reshaping paths based on packet goal, node state, carrier conditions, recovery pressure, and cost.


LLM Refinement Protocol

Table expansion

Infer hidden dimensions of concept with axis, proxy, uncertainty, failure mode columns

Lens sweep

Run concept through hostile scientist, patent examiner, systems engineer, formal-methods, safety, implementation lenses

Glossary lock

Extract polysemic terms and give each a local project definition

Primitive compression

Collapse concept into 4 keeper primitives: field, shear, packet, spectral

Residual audit

Mark each subclaim as metaphor, hypothesis, engineering delta, evidence-backed, or rejected

Summary: Protocol for converting rough research ideas into stable, auditable refinement loops. 7 steps: table expansion, lens sweep, glossary lock, primitive compression, residual audit, test hook, warden pass.


AngrySphinx Donated-Cycle Gate Specification

Donated-Cycle Gate

Web proof-of-defense where client compute contributes to defender's gate calibration

Proof-of-defense receipt

Every accepted proof leaves an auditable defensive receipt

Difficulty scaling

Challenge difficulty increases based on observed attack pressure

Hashcash-compatible fallback

Default challenge remains hashcash-compatible; useful work optional and bounded

Summary: Web-facing proof-of-defense layer: suspicious clients spend compute that improves gate calibration instead of being discarded. Compatible with Anubis-style anti-bot proxy. Attacker either leaves or donates defensive cycles.


Bernoulli Occupancy Receipt Math

Bernoulli occupancy

Probabilistic model for receipt slot occupancy

Summary: Mathematical framework for Bernoulli occupancy in receipt systems.


Burgers Harmonic Peeling Verification

Harmonic peeling

Verification of Burgers PDE harmonic decomposition

Summary: Verification of harmonic peeling for Burgers PDE decomposition.


CBF Hardware Spec

CBF

Custom hardware block specification

Summary: Custom hardware block specification.


Continued Fraction Compression Adaptation

Continued fraction compression

Compression via continued fraction representation

Summary: Adaptation of continued fractions for compression.


Decoder-Facing Reconstruction Core

Reconstruction core

Decoder-facing core for state reconstruction

Summary: Decoder-facing reconstruction core architecture.


Drift Quarantine Yang-Mills Spec

Drift quarantine

Isolation of drift-affected Yang-Mills computations

Summary: Specification for quarantining drift-affected Yang-Mills computations.


Embedded Node Surface Spec

Embedded node surface

Surface layer for embedded compute nodes

Summary: Embedded node surface specification.


ENE Hotswap Plugin Architecture

Hotswap plugin

scan → plan → commit → verify plugin lifecycle for ENE

Summary: ENE hotswap plugin architecture with scan-plan-commit-verify lifecycle.


Forward Foundation Equation Compiler

Equation compiler

Forward compilation of foundation equations

Summary: Forward foundation equation compiler specification.


GCL Field Equations Spec

GCL field equations

Field equation specifications for Genetic Code Language

Summary: Field equation specifications for GCL.


GCL Topology Revision Spec

GCL topology revision

Topology revision rules for GCL evolution

Summary: Topology revision specification for GCL.


GENSIS Compiler Spec

GENSIS

Genesis compiler for structured object transformation

Summary: GENSIS compiler specification for structured object transformation.


Geometry Emergency Boot Witness

Emergency boot witness

Boot-time geometric witness for emergency recovery

Summary: Emergency boot witness for geometric state recovery.


Human Surface JSONL Spec

Human surface JSONL

JSONL format for human-readable surface data

Summary: JSONL specification for human-readable surface data.


Hydrogenic Phi-Torsion Braid

Hydrogenic phi-torsion

Braid algebra using golden ratio torsion

Summary: Hydrogenic phi-torsion braid algebra.


Information Manifold Taxonomy

Information manifold taxonomy

Classification of information manifolds by structural properties

Summary: Taxonomy for classifying information manifolds.


K3 Compliant Node Structure

K3 compliance

Node structure compliant with K3 formalization standard

Summary: K3-compliant node structure definition.


Language Set Manifold Graph Typing

Manifold graph typing

Summary: Type system for language set manifold graphs.


Law-Gated Reconstruction Core Shift

Law-gated reconstruction

Summary: Reconstruction core with law-based admission gates.


MS3C Nested Reduction Gear Spec

Matroska S3C Nested Reduction Gear for hierarchical encoding

Summary: Matroska S3C Nested Reduction Gear specification for hierarchical address encoding.


NII Core Driver Completion Summary

NII core driver

Network Interface Integration core driver completion report

Summary: NII core driver completion summary.


NII Core Driver Implementation Plan

NII driver plan

Implementation plan for NII core driver

Summary: Implementation plan for NII core driver.


Omindirection Logogram Design and Compiler

Omindirection logograms

Direction/chirality/phase-bearing symbolic atoms

Logogram compiler

Compiler for logogram design and encoding

Summary: Design and compiler for Omindirection logograms with direction, chirality, phase, and placement.


Omnitoken GCL Redesign

Omnitoken GCL

Redesigned Genetic Code Language with Omnitoken addressing

Summary: Redesign of GCL with Omnitoken addressing.


Oracle Interrogation IDPC v0.1

Oracle interrogation

IDPC protocol for oracle-based problem classification

Summary: Oracle interrogation protocol for IDPC problem classification.


Quaternion Sidon Standing Field v0.1

Quaternion Sidon field

Standing field using quaternion algebra with Sidon address structure

Summary: Quaternion Sidon standing field combining quaternion algebra with Sidon pair-addressing.


Reconstruction Core Math Review

Math review

Mathematical review of reconstruction core correctness

Summary: Mathematical review of reconstruction core.


SilverSight Completion Pipeline — Microstep Edition

SilverSight pipeline

Per-file, per-theorem, per-commit microsteps for SilverSight completion

Claim-state manifest

BEAUTIFUL_PROVISIONAL → CALIBRATED_ENGINEERING_DELTA → REVIEWED → VERIFIED tracking

YaFF-inspired core

Schema/Layout/WireFormat/View/CanalLayout Lean modules

Library method

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

Summary: Detailed microstep pipeline for SilverSight completion. Phase 0/1 boundary reached: YaFF core compiles (2987 jobs), Q16_16 roundtrip proven. Remaining: product-type encoders, DynamicCanal physics, theorem triage, extraction targets.


Sovereign Proceed Plan: 48-Hour Execution

Burgers theorem hardening

Replace sorry markers with proofs using norm_num/field_simp/linarith

UART packet structure

FPGA loopback test: 0xAA start + 18-bit state + XOR checksum

Hardware loopback

Tang Nano 9K UART echo test for state + computed kernel value

Summary: 48-hour execution plan: harden Burgers theorems (replace sorry with proofs), design UART packet structure for FPGA loopback, and test Tang Nano 9K echo.


Core Manifest — Honest Status of the Semantics Library

Module status levels

STABLE (no sorry, no Float), BETA (functional with gaps), SHIM (boundary code), EXPLORATORY

FixedPoint status

STABLE: Q16_16.one, Q16_16.zero witnesses, foundation for all fixed-point math

Bind status

STABLE: bindPreservesInvariant witness, core bind primitive

Sorry inventory

BraidCross 2 sorry, Constitution 1 sorry, Tests 18 sorry (test debt)

Summary: Honest status document classifying modules as STABLE/BETA/SHIM/EXPLORATORY. FixedPoint and Bind are STABLE. BraidCross has 2 sorry (associativity/commutativity), Constitution has 1 sorry (totality).


Lean Port Orchestration Map

Single Orchestration Layer

0-Core-Formalism/lean/Semantics/ is the only place where invariants are checked, costs computed, transitions validated

Domain-by-domain port map

Systematic plan to port every repo domain to Lean 4

Three categories

Every file: Lean Core (source of truth), Thin Shim (I/O only), or Deleted

Summary: Forced systematic port of every domain to Lean 4. Single Orchestration Layer = Semantics/. Categories: Lean Core (source of truth), Thin Shim (I/O), Deleted. One module at a time; lake build must never break.


Strict Naming Conventions for the Lean Port

PascalCase files

All Lean files: PascalCase.lean, one module per file

camelCase functions

All functions camelCase, all types PascalCase

Semantics root namespace

Every file opens with namespace Semantics or Semantics.<Domain>

Banned patterns

No snake_case, no getFoo/setFoo/checkFoo, no _v2/_final, no test_ prefixes

Summary: Mandatory naming conventions: PascalCase files, PascalCase types, camelCase functions, Semantics root namespace. Banned: snake_case, getFoo/setFoo, _v2/_final, test_ prefixes.


Canonical Formula Index: Sovereign Informatic Manifold

Cognitive Load Equation

L_total = L_intrinsic + L_extraneous + L_germane + L_routing + L_memory

Infohazard Containment Protocol

Detection levels (Quiescent/Peripheral/Investigative/Adversarial) with repulsion modes

AngrySphinx Difficulty Scaling

H_{t+1} = H_t + max(0, δ·(L_E - 10.0))

Metric-Coupled Convergence

η = L_germane/ΣL_total + ΔEnergy_manifold

Summary: Canonical mathematical ground truth: Cognitive Load Equation, Infohazard Containment Protocol (4 detection levels), AngrySphinx difficulty scaling, SSMS cycle balancing, and Metric-Coupled Convergence.


Hutter Prize Submission Strategy for PIST Extended Encoding

First 10⁹ bytes of enwiki-20060303-pages-articles.xml (fixed corpus)

Hutter Prize formula

Award = 500,000€ × (1 − S/L); S = S1(compressor) + S2(archive)

Current record

fx2-cmix: 110,793,128 bytes (~105.6 MiB), 11.08% compression ratio

PIST Extended Encoding

Stack's approach to Hutter Prize using PIST + braid eigensolid

Summary: Hutter Prize strategy: enwik9 = 1GB fixed corpus. Current record 105.6 MiB by fx2-cmix. Prize target S < 109.6 MB (1% improvement = €5,000). Stack uses PIST Extended Encoding with braid eigensolid compressor.


ENE Schema Specification v1.0.0

Type hierarchy

BaseArchiveRecord → EnhancedArchiveRecord → AttestedArchiveRecord

BaseArchiveRecord

Lossless preservation: archive_id, source_type, raw_content, content_hash

EnhancedArchiveRecord

Semantic enrichment layer with concept anchors and relations

AttestedArchiveRecord

Provenance verification layer with MMR receipts

ArchiveID derivation

Content-addressed ID from source_prefix + content_truncated

Summary: Formal ENE schema: BaseArchiveRecord (lossless) → EnhancedArchiveRecord (semantic) → AttestedArchiveRecord (provenance). Content-addressed ArchiveIDs, SHA-256 content hashes, extraction versioning.


Pyrochlore–Sidon Bridge: Experimental Verification

Pyrochlore-Sidon bridge

15% entropy recovery in KMMC and 90% spectral weight in NaCaNi₂F₇ are the same Sidon packing bound

Sidon sumset on tetrahedron

Labels {1,2,4,8} cannot close more than 10-15% of 6 edges simultaneously

KMMC verification

Classical Heisenberg 4-spin tetrahedron: 15% closure at T_c=258mK matches experiment

Summary: Experimental verification: 15% entropy recovery in KMMC (S=5/2) and 90% spectral weight in NaCaNi₂F₇ (S=1) are the same Sidon packing bound on tetrahedron with labels {1,2,4,8}.


Raven's Progressive Matrices → Rainbow Raccoon Compiler

RPM-RRC isomorphism

Raven's 3×3 grid constraint completion = Sidon sumset closure

RPM rule types as Sidon

Addition=sum, Subtraction=difference, Rotation=cyclic perm, Shading=AND mask, Size=progression

9-cell constraint graph

3×3 grid with Sidon addresses {1,2,4,8,16,32,64,128,256}

Summary: Formal isomorphism: Raven's Progressive Matrices = Sidon sumset closure. 3×3 grid with 9 Sidon addresses. Missing cell must satisfy all constraint rules. RPM rule types map to Sidon operations.


Multi-Paper Publication Strategy: The Research Stack Framework

Paper architecture

4-6 papers across 4 tiers: Foundation → Information Theory → Biological Application → Synthesis

Tier 1: Foundation papers

Hydrogen Base Layer, Constraint-Induced Compression

Tier 2: Information Theory

Compression theory papers for Entropy/Information journals

18-36 month timeline

Parallel development across tiers

Summary: Publication strategy: 4-6 papers in 18-36 months. Tier 1: foundation (hydrogen, compression). Tier 2: information theory. Tier 3: biological application. Tier 4: synthesis. Venues include Phys Rev E, Entropy, Nature.


Sidon FAMM Map

Sidon gate

G_Sidon(A)=1 ⟺ all pairwise sums a+b are unique

Candidate-addition gate

New element a* is admissible iff a*+a_i distinct from all existing sums

Collision scar

Failed candidate produces a FAMM scar record

Full Sidon thread

Classical Sidon → pair-sum gate → candidate receipt → collision scar → physics packet → quaternion anti-alias → two-layer lattice → Theodorus shell → Semantic Mass → NUVMAP Delta-DAG → BJD cleanup → exact verifier

Summary: Operational Sidon map: classical Sidon set → pair-sum gate → candidate-addition receipt → collision scar → physics packet → quaternion anti-alias → two-layer lattice → Semantic Mass → NUVMAP → BJD cleanup → exact verifier.


BraidStorm Sidon Crossing Anti-Alias Gate

Sidon crossing addresses

Assign each BraidStorm strand a Sidon label so every crossing {i,j} has unique address a_i+a_j

Collision-free crossing

Solves pair-address aliasing for BraidStorm receipts, scars, delta edges

8-strand canonical set

Powers of 2: {1,2,4,8,16,32,64,128} for 8 strands

Summary: Uses Sidon pair-sum uniqueness for collision-free BraidStorm crossing addresses. Each strand gets a Sidon label; every crossing {i,j} has unique address a_i+a_j. Solves aliasing for receipts, scars, delta edges, and NUVMAP handoffs.


Anti-FAMM Shadow Adversary

Anti-FAMM

Adversarial dual of FAMM: finds where FAMM failed to see scars or over-scarred valid routes

Nullspace attack

Searches for perturbation η∈ker DΠ_X that changes dangerous behavior DT_X[η]≠0

Shadow objective

A_FAMM(X) = sup_{η∈ker DΠ_X,‖η‖≤1} ‖DT_X[η]‖; above threshold = incomplete witness

False pass / False scar

FAMM says PASS but Anti-FAMM finds hidden residual; or FAMM says SCAR but route was lawful

Summary: Adversarial dual testing FAMM blind spots. Searches kernel of witness projection for perturbations that change dangerous behavior. Shadow objective above threshold means witness packet is incomplete.


Builder-Judge-Warden Geodesic Cleanup Filter

BJW triadic filter

Builder proposes cleanup, Judge verifies law/receipt, Warden blocks unsafe collapse

Cleanup loss

L_BJW(E) = αC(E) + βR(E) + γΩ(E) − δI(E) + λP(E)

Geodesic cleanup path

Shortest lawful cleanup preserving invariants and ending in receipt

Summary: Triadic cleanup layer: Builder proposes moves, Judge verifies invariants/receipts, Warden blocks unsafe collapse. Cleanup loss balances complexity, residual, scar pressure, invariant strength, and promotion cost.


16D Chaos Game Field Shrinker

16D chaos game

X_{t+1} = A_{σ_t} + C_{σ_t}(X_t − A_{σ_t}) + ε_t in ℝ¹⁶

Anchor selection

Weighted by semantic mass, scar pressure, invariant overlap, route cost, receipt strength

Field shrinker

Lifts 2D chaos game attractor into 16D manifold-addressed contraction engine

Summary: Lifts chaos game from 2D visual attractor to 16D FAMM field-shrinking engine. Anchors weighted by semantic mass, scar pressure, invariant overlap, route cost. Visible fractal is only 2D projection of 16D route/address state.


Ahmed Integral Scalar Witness Gate

Ahmed integral gate

Scalar witness verification using the Ahmed integral

Summary: Scalar witness gate using the Ahmed integral.


Autonomous Speedrun Harness Gate

Speedrun harness

Automated harness for speedrun-style validation

Summary: Autonomous speedrun harness for automated validation.


Bio-Organoid Signal Field Gate

Bio-organoid signal

Signal field gate for bio-organoid computations

Summary: Bio-organoid signal field gate.


Chromatic Homotopy Height Spectral Gate

Chromatic homotopy gate

Spectral gate using chromatic homotopy theory

Summary: Chromatic homotopy height spectral gate.


Common Noise MFG Riccati Gate

MFG Riccati gate

Mean-Field Game gate using Riccati equations with common noise

Summary: Common noise mean-field game Riccati gate.


Empirical Hessian Receipt Pass

Hessian receipt

Empirical receipt pass computing Hessian eigenvalues

Summary: Empirical Hessian receipt pass.


FAMM Semantic Mass Math Forest Plow

Math forest plow

Summary: Route clearing through math forest guided by Semantic Mass.


Feynman Path Integral Shadow Witness Note

Feynman path shadow

Summary: Shadow witness using Feynman path integral formalism.


Golden Braid Centering Gate

Golden braid centering

Gate enforcing golden ratio centering in braid crossings

Summary: Golden braid centering gate.


Logogram Chirality Route Gate

Chirality route gate

Gate based on logogram chirality for routing decisions

Summary: Logogram chirality route gate.


MarkovJunior 16D PIST Rewrite Shim

MarkovJunior PIST shim

MarkovJunior rewrite rules applied to 16D PIST state

Summary: MarkovJunior rewrite rules for 16D PIST state.


Möbius Apollonius Chord Partition Gate

Möbius Apollonius gate

Chord partition gate using Möbius and Apollonius geometry

Summary: Möbius Apollonius chord partition gate.


Navier-Stokes MHD Chiral Drag Note

MHD chiral drag

Chiral drag effect in MHD Navier-Stokes equations

Summary: Chiral drag in MHD Navier-Stokes.


Navier-Stokes Shadow Control Gap Map

Shadow control gap

Gap map for shadow control in Navier-Stokes solutions

Summary: Shadow control gap map for Navier-Stokes.


NUVMAP Delta-DAG Search Compressor

Delta-DAG compressor

Search compressor using NUVMAP delta DAG structure

Summary: NUVMAP delta-DAG search compressor.


NUVMAP Delta-DAG Sharding Spec

Delta-DAG sharding

Sharding specification for NUVMAP delta DAG

Summary: NUVMAP delta-DAG sharding specification.


OR-Tools WASM Constraint Solver Gate

OR-Tools WASM gate

Constraint solver gate using OR-Tools compiled to WASM

Summary: OR-Tools WASM constraint solver gate.


Plasma Chiral Drag Witness Gate

Plasma chiral drag gate

Witness gate for plasma chiral drag effects

Summary: Plasma chiral drag witness gate.


Possible Constrained Agent Approaches

Constrained agent

Approaches for agents operating under resource constraints

Summary: Possible approaches for constrained agents.


Possible Constrained Agent Approaches Deep Dive

Constrained agent deep dive

Deep analysis of constrained agent approaches

Summary: Deep dive into constrained agent approaches.


Semantic Mass Route Plow Runner

Route plow runner

Runner executing Semantic Mass route clearing

Summary: Semantic Mass route plow runner.


Semantic Mass Z-Accelerator

Z-accelerator

Acceleration of Semantic Mass computation in Z-domain

Summary: Semantic Mass Z-accelerator.


SmallCode Constrained Agent Execution Gate

SmallCode gate

Execution gate for constrained agents with code-size limits

Summary: SmallCode constrained agent execution gate.


Turbulence Model Atlas Gate

Turbulence atlas gate

Gate for turbulence model selection from atlas

Summary: Turbulence model atlas gate.


Universal Shortcut Center Manifold

Shortcut center manifold

Universal center manifold providing shortcuts in state space

Summary: Universal shortcut center manifold.


Transfold Enwiki8 Magnetic Domain Generator

Transfold Magnetic Domain Generator

Stress-test that converts a byte slice into a magnetic-domain equation receipt using entropy, byte transition rate, repeated 4-grams, and capacity overflow as analogues for field demand, agitation, remanence, and hysteresis heat-loss.

Magnetic Domain Equation Surface

Equation L_info_i = phi^D_f * (log(1+2h_i) + MM(t_i;1,0.35) + (1-r_i)^0.6) with overflow gate G_over_i and magnetization M_i = sigmoid(((chi_i H_i) + R_i - 0.5 C_loss_i) * G_over_i).

The Hutter Prize 1GB Wikipedia XML corpus used as canonical test vector for hierarchical compression.

Summary: Stress-test mapping byte-signal statistics into magnetic-domain analogues for routing and compression comparison; not a claim of compression improvement.


COUCH Data Magnetic-Domain Comparison

COUCH Bundle Comparison

Runs the same byte-signal to magnetic-domain transfold against local COUCH JSON data bundle, showing COUCH is more memory-like (higher remanence, lower susceptibility) than enwik8.

Magnetic Domain Stress Sweep

Sweeps capacity thresholds (2.50 to 5.25) measuring overflow chunks, mean overflow gate, and mean heat loss for corpus comparison.

Summary: Compares COUCH data bundle against enwik8 using the magnetic-domain transfold; COUCH shows higher remanence and lower heat loss, suggesting dictionary/state reuse routing.


RRC Logogram Projection Formalism

LogogramReceipt

Lean structure with fields: shape, status, regime, payloadBound, contradictionWitness, tearBoundary, detachedMass, residualLane.

typeAdmissible

Predicate: logogram has declared RRC shape, candidate witness status, and bounded payload.

hasTearRepair

Predicate: torn logogram carries all four quarantine witnesses (contradictionWitness, tearBoundary, detachedMass, residualLane).

mergeAdmissible

Predicate: typeAdmissible AND not a tearing regime — allows merge into ordinary route/tokenbook space.

projectionAdmissible

Predicate: typeAdmissible AND (not torn OR hasTearRepair) — allows entry to projection space including quarantine.

Repaired Tear Projects

Theorem: projectionAdmissible(semanticTearReceipt) = true — proved by native_decide.

Repaired Tear Does Not Merge

Theorem: mergeAdmissible(semanticTearReceipt) = false — proved by native_decide.

Merge Implies Projection

Theorem: mergeAdmissible(L) → projectionAdmissible(L).

Repaired Tears Separate Projection From Merge

Theorem: type-admissible torn logogram with repair evidence is projection-admissible but not merge-admissible.

Quarantine Projection Lane

Torn regimes route to quarantine_projection; non-torn to normal_projection.

Summary: Lean-checked formalism proving that torn logograms can be projection-admissible after repair while remaining not merge-admissible, establishing type != projection != merge admission.


RRC Logogram Projection Bridge

LogogramProjection Bridge

Python bridge that binds canonical cell hash, bounded glyph payload, substitution receipt, semantic regime, and RRC type witness into a LogogramProjection receipt.

Projection Equation

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

Tear Repair Pipeline

Flow: horrible_manifold_tearing → contradiction_witness_hash → tear_boundary_hash → detached_mass_id → semantic_boundary_residual → quarantine_projection → merge_admissible=false.

RRC Shape LogogramProjection

New lawful RRC shape with field equation: logogram_cell → canonical_hash → glyph_payload → projection_lane, admitted iff cell hash, payload bound, substitution receipt, and regime guard close.

RRC Logogram Projection Formalism
Rainbow Raccoon Compiler

Summary: Executable bridge that projects logograms into RRC receipts with projection/merge admission gates and tear repair handling.


RRC Equation Projection

RRC Equation Projection

Rainbow Raccoon Compiler projection pass over 278 local equation surfaces recording nearest lawful shapes, projection axes, and admissibility holds.

RRC Shape Distribution

278 equations classified: CadForceProbeReceipt(2), CognitiveLoadField(77), HoldForUnlawfulOrUnderspecifiedShape(125), LogogramProjection(1), ProjectableGeometryTopology(37), SignalShapedRouteCompiler(36).

Missing Axes

scale_band_declared missing for 249/278 equations; negative_control_strength missing for 39.

Summary: Projection pass classifying 278 equations into RRC shapes with CANDIDATE/HOLD status; 249 equations missing scale_band_declared axis.


Rainbow Raccoon Compiler Integration

Rainbow Raccoon Compiler (RRC)

Manifold-indexed type-checker boundary: object → manifold projection → nearest lawful shape → type witness → field equation → invariant receipt.

16-Axis Manifold Vector

Projection axes: semantic_entropy, geometric_mass, compression_pressure, topology_torsion, receipt_density, field_energy, hardware_affinity, proof_readiness, residual_risk, shape_closure, history_depth, negative_control_strength, projection_declared, decoder_declared, witness_declared, scale_band_declared.

Lawful Shape Prototypes

Initial set: SignalShapedRouteCompiler, ProjectableGeometryTopology, CognitiveLoadField, CadForceProbeReceipt, LogogramProjection, HoldForUnlawfulOrUnderspecifiedShape.

CANDIDATE Status

Object has enough declared projection, witness, and scale evidence to be admissible for next-stage proving.

HOLD Status

Object is underspecified or has weak receipt axes; not admissible for next stage.

Promotion Rules

CANDIDATE is not a Lean proof; HOLD when projection/witness/decoder/residual/scale is weak; no promotion without replayable invariant receipt.

Summary: Integration shim implementing RRC as a manifold-indexed type-checker with 16-axis projection, 6 lawful shape prototypes, and CANDIDATE/HOLD admission.


Optional Science Toolbelt

Optional Science Toolbelt

Optional reference surfaces for math-first work including Biopython, Dedalus, liboqs-python, RDKit, Z3, SageMath, zstandard, PyWavelets — Lean remains source of truth.

Script to probe which optional domain tools are available; exits successfully even when tools are missing.

Receipt Pattern for Adapters

Pattern: input fixture path → tool name/version → exact command → output hash + summary → link to Lean theorem or claim registry entry.

Summary: Optional domain-specific tools (genetics, CFD, crypto, chemistry, formal bridge, algebra, compression) for math-first work; produces receipts not theorems.


Math-First Tooling

Math-First Contract

Every mathematical claim must carry machine-checkable evidence — a Lean proof, a DeepSeek review receipt with SHA-256 integrity, or both.

Claim Status Ladder

States: conjecture → verified-by-ai → formally-proven → published. Movement only forward, each transition accompanied by claims.yaml change.

Receipt schema requiring schema, created_at, model, endpoint, prompt_sha256, answer_sha256, usage, context_files, answer_path.

claims.yaml

Single source of truth for mathematical claim rigor level with fields: id, title, status, lean, review_receipts, sources, notes.

Pre-commit hook enforcing that commits touching math-track surfaces must also touch a math-evidence surface (receipt, Lean kernel, or claims.yaml).

MCP Servers for Math

Registry: filesystem, sympy, wolfram-alpha, lean — AI assistants get tool access, not trust.

Receipt Validator

validate_deepseek_receipts.py validates receipt schema compliance with SHA-256 hash pinning.

Claims Registry Validator

validate_claims_registry.py enforces JSON Schema, unique IDs, and repo-relative path existence.

Summary: Codifies the math-first contract: every claim needs Lean proof or DeepSeek receipt; CI enforces via pre-commit hooks, validators, and MCP tool registry.


Compression Signal-Shaping Synthesis

Signal-Shaped Route Compiler

New pattern: shape the route space before coding, then pay exact residual, witness, decoder, and container bytes after coding.

Phi Signal Feature Vector

phi_signal(c) = [H(c), tag_density(c), DCT_energy(c), transient(c), autocorr(c), cosine_reuse(c)].

Route Selection Equation

r* = argmin_r LB(r | phi_signal(c), semantic_regime(c), history_state).

Exact Cost Accounting

C_total = bytes(payload) + bytes(sidecar) + bytes(residual) + bytes(decoder) + bytes(witness) + bytes(container).

Topology Regime Guard

Classify as beautiful→fold, ugly→prune, horrible→isolate/hold before tokenbook merges.

Witness-Budgeted Latent Route

Generative models propose routes; exact residual repairs; uncertainty decides hold.

Fractional History Route Scheduler

h_t = sum K_alpha(t-tau) * residual_tau with bounded memory for nonstationary regions.

Negative Control Pattern

valid_gain iff C(candidate) < C(baseline) AND C(candidate) < C(matched_bad_route).

Promotion Gate

Promote iff H(decode(r*)) == H(source) AND C_total < incumbent AND failure_rules == none.

Summary: Synthesis proposing signal-shaped route compilation experiments with exact cost accounting, topology regime guards, and negative controls; not a Hutter Prize result.


Research Stack Wiki

Research Stack Architecture

5-layer capability-adaptive compute fabric: Physical Network → Tailscale Mesh → Compute Surfaces → FrameDispatcher → VCN Pipeline → Ray Scheduler → Application Layer.

Compute Tiers

Device classification: GPU_CUDA(10), GPU_VAAPI(9), GPU_APU(8), CPU_FFMPEG(7), BATCH(6), ETHERNET(5), FRAMEBUFFER(4), WASM(3), DSP(2), ESP32(2), RELAY(1), OFFLINE(0).

VCN Pipeline

5-stage video compute network: Delta+RLE → Reed-Solomon ECC → ChaCha20 → H.264 encode → MKV container; 50× bandwidth reduction.

FrameDispatcher

Tag-based frame router: TAG_STRAND/TAG_CROSSING/TAG_PIST → VCNBraidBackend, TAG_LUPINE → CUDABackend, TAG_VAAPI → VAAPIBackend, TAG_FLAC → FLACBackend.

RayVCNBridge

@ray.remote actor hosting FrameDispatcher with GPU+Braid backends; replaces Unix socket IPC + TCP transport + MKV encode/decode.

Scans DRM render nodes, FFmpeg encoders, framebuffer devices, and network to classify devices into compute tiers.

PistPacket

Ethernet computation protocol: structured compute packets via virtio-net TX/RX rings with Q16_16 fixed-point payload.

Latency-Aware Scheduling

Classes: LOCAL(<1ms), NEAR(<10ms), FAR(<100ms), DERP(<1s), OFFLINE(≥1s) with FPGA voltage mapping.

Q0_16 / Q16_16

Fixed-point arithmetic foundation: Q0_16 (16-bit pure fraction, range [-1,1]) as default, Q16_16 (32-bit mixed) when range demands. No Float in compute paths.

Tailscale Mesh

WireGuard tunnels with direct P2P, DERP relay fallback, post-quantum Kyber768, MagicDNS, subnet routing.

Summary: Comprehensive architecture wiki covering the 5-layer compute fabric, 12 compute tiers, VCN pipeline, Ray integration, device probing, and mesh networking.


docs/ README

Summary: Legacy alias pointing to 6-Documentation/docs/ as the authoritative documentation tree.


Gamma Radix MetaProbe

Gamma Radix MetaProbe

Symbolic, receipt-bearing pulse-tracing architecture using gamma-length transmission as radix metaphor for ultra-fine address/probe space with WebGPU/PIST surfaces and FAMM/NUVMAP witness routing.

Gamma Packet Primitive

Gamma_i = gamma_i ⊗ chi_i ⊗ kappa_i ⊗ tau_i ⊗ U_i Lambda_i a_i ⊗ theta_i ⊗ epsilon_i — energy, chirality, interaction kernel, delay, spectral decomposition, routing angle, residual scar.

Radix Basis

R_Gamma = {E, theta, phi, t, chi, kappa, rho, sigma, epsilon} — multi-axis pulse-state basis for addressing.

Settlement Avoidance

Savings from replacing full execution+storage+commit with probe+witness+selective export.

Sparse Residual Transmission

Transmit generator + route witness + residual repair instead of full state.

Cacheable Probe Fields

Same packet class + same boundary condition → reuse prior branch witness.

Compute Triage

Low residual→accept/cache/compress, medium→refine locally, high→route to FAMM scar/reject/quarantine, impossible→NaN/no commit.

Summary: Symbolic pulse-tracing architecture where gamma-scale coordinates are virtual probe names, not physical RAM; savings come from cheap probes replacing committed computation.


Rainbow Raccoon / FAMM / NUVMAP Architecture Manual

Core Keeper Equation

D_hat = V ∘ R ∘ L ∘ E_AttnRes ∘ C ∘ B ∘ N ∘ RRC ∘ Gamma ∘ S(D) — full reconstruction pipeline from static astro computer through verification.

Admissible Reconstruction Topology

The primitive is not storage but admissible reconstruction topology with selective residual memory.

RRC Manifold Typing

RRC(D) = (M_k, Lambda_k, Phi_k, chi_k, epsilon_k, M_semantic) — determines which transforms are lawful, which braid routes are admissible.

NUVMAP Sparse Projection

Sparse topological address space: nu_i = (r_i, chi_i, sigma_i, q_i, h_i); millions of candidates collapse into sparse occupied regions.

BraidStorm Traversal

B(D) = sum_i beta_i where crossings represent reconstruction operations.

Eigensolid

E* = Closure(sum_i R_i) — stable, replayable, low residual, admissible, closure-preserving reconstruction body.

Logogram Alphabet

Callable reconstruction glyphs organized as field (rho, Omega, mu, Phi), carrier (Gamma, chi, kappa, tau, Lambda, epsilon), traversal (beta, R, E*, otimes), repair (Delta, oplus, r), verification (V, H, equivalence) glyphs.

Residual Repair

D_exact = D_approx ⊕ Delta — approximate lawful replay first, exactness restored afterward.

FAMM Scar Memory

FAMM stores prior traversal and obstruction experience; a scar is a remembered overlap obstruction.

Attention Residuals Fold-In

E_AttnRes = Closure(sum_i softmax(M_i - Omega_i + S_i) R_i) — selective residual retrieval from Kimi Team arXiv:2603.15031.

Inclusion-Exclusion Fold-In

M(E*) = sum M(R_i) - sum overlap(R_i,R_j) + higher-order closure corrections.

Rainbow Raccoon Compiler
FAMM
NUVMAP
BraidStorm

Summary: Architecture manual defining the full reconstruction pipeline D_hat = V∘R∘L∘E_AttnRes∘C∘B∘N∘RRC∘Gamma∘S(D) with compression as lawful manifold replay + residual exactness + selective memory.


Photon-Chased Ferrite Trace Formation

Photon-Chased Ferrite Trace

Speculative materials concept: use moving electromagnetic activation front to bias redox mineralization along confined channel wall, leaving near-aligned ferrite-like traces.

Seven-Pattern Mapping

Maps to CHAIN (wall prep → redox leak → activation front → deposition → cleanup → finish), COUPLING, GRADIENT, FEEDBACK, MASS, ENTROPY, SCALING.

Primary Observable

Anisotropy: sigma_parallel / sigma_perpendicular > 1 — directional transport evidence.

Summary: Speculative materials hypothesis: guided activation field pulls redox-mineralization front down confined channel, leaving aligned ferrite traces; grant-proposal-scale implementation.


Research Stack Forest Map Waterfall

Forest Map Authority Model

Epistemic pipeline: artifact → normalization → fingerprint → graph/equation extraction → candidate roads → authority gate → Graph.lean audit → diff/torsion/curvature → FAMM basin-hold-scar → projections.

Authority Hierarchy

Graph.lean (canonical graph) > ENE (provenance) > Notion (semantic registry) > Obsidian (workbench) > Neo4j (topology engine) > GraphML/Mermaid/Ace (transport/projection).

Canonical Node Taxonomy

Node types: Artifact, Equation, Variable, Domain, Road, Motif, Source, LightSourceFrame, GraphSnapshot, Route, FAMMState, AuthorityBoundary.

Canonical Edge Taxonomy

Edge types: NORMALIZES_TO, HAS_FINGERPRINT, ROUTES_TO, WRITES_MEMORY, CONTAINS_EQUATION, USES_VARIABLE, SHARES_MOTIF, DERIVES_FROM, CONSTRAINS, PROJECTS_TO, TRANSPORTS_TO, ILLUMINATES, HAS_TORSION, HAS_OUTCOME.

False-Attractor Gates

Gates: operator-context, domain-context, perturbation test, randomized baseline, source-independence check, authority gate.

Torsion Heatmap Categories

Low torsion/repeated→basin candidate, moderate/context→frontier hold, high/repeated→scar candidate, zero-response→degenerate flat.

COUCH Coupling Degeneracy

Problem: identical curvature across kappa regimes implies coupling term or curvature metric not responding to kappa.

Summary: 9-phase roadmap for completing the Research Stack forest map: authority plumbing, equation inventory, numeric motifs, COUCH fix, basin extraction, torsion heatmap, light sources, Neo4j traversal, closure criteria.


VLB Nibble-Delta Witness Substrate — Earthside Estimate

Nibble-Switched Manifold Delta

Encoding updates as sparse counted 4-bit switch events rather than full snapshots; baseline committed once, then sparse counted nibble switches with witness receipt.

NibbleSwitch

Structure: locusId, nibble (UInt4), count (run length), polarity (signed Q16), kotCost (signed Q16), receiptId.

ManifoldDelta

Structure: baselineHash, targetHash, sourceDomain, switches[], deltaGCCL, kotCost, replayPass.

Nibble Semantics

High 2 bits = quandary control (00=REJECT, 01=ACCEPT, 10=HOLD, 11=QUARANTINE); low 2 bits = strand selector (00=K/stable, 01=C/winding, 10=M/tension, 11=Y/break).

Compression Estimate

Gain ≈ (N×B) / ((N×r/c)×E + overhead); practical 5×-20× near-term, 25×-100× with good sparsity, 100×+ for telemetry streams.

GCCL Integration

Delta valid only when transition is smaller AND lawful; profiles G_geo, G_comp, G_load, G_spec, G_topo, G_arith, G_MNL, G_AMN.

Summary: Earthside estimate for nibble-switched manifold delta encoding: 5×-20× near-term gain for repo/document/ENE update streams, with every update small, replayable, witnessed, budgeted, quarantinable.


OpenAI Unit-Distance Disproof as FAMM Solve Pattern

Cross-Domain Structural Route

Key lesson: cross-domain structural routes can dominate local intuition; the winning proof route existed outside the community-default search basin.

FAMM Solved-Scar Pattern

OpenAI's unit-distance counterexample as canonical solved-scar: conjecture→obstruction field, counterexample family→braid/eigensolid family, algebraic route→remote NUVMAP sector.

Attention Residuals Interpretation

Successful route behaved as distant off-diagonal retrieval, not local next-step continuation; softmax-selected remote retrieval may outperform dense local accumulation.

Eigensolid Ranking

Prioritize reusable construction families, scalable symmetry structures, infinite admissible replay over finite examples.

Summary: Interprets OpenAI's unit-distance disproof as a FAMM solved-scar pattern: low-obstruction proof manifold existed outside dominant search basin, supporting selective residual retrieval.