4626f23be5
Combines ALL theories from first portion to now: - Density field encoding (semantic manifolds, Morse-Smale complex) - GCCL-GEC (glyph packets, chirality, typebook, eigenbook) - OAC (observer-admissible cavities, S3C shells, spherion shaping) - Hypercube-rhomboid (shear matrix, Gram matrix, geometric compression) - Radius-ratio motif compression (local admissibility quantization) - Maximum math density (custom logographic notation, full Unicode) - Hippocampus tabula plena (full slate initialization, FAMM pruning) - Engram consolidation (neuron dropout, pattern separation) - FAMM delay lines (preshaped delays, Q16.16 fixed-point) - S3C shells (multi-scale coordinate encoding) - PIST n-D bundle (perturbation encoding) - erans (enumerative rANS entropy coding) Core synthesis: Start tabula plena (full Unicode 1,114,112 codepoints + custom glyphs + omniversal chirality) → represent as semantic density field → extract Morse-Smale topological skeleton → apply shear matrix (orthogonal hypercube → correlated rhomboid) → FAMM consolidation (uniform → sparse structured delays based on eigenvalue spectra) → S3C shell coordinates → radius-ratio quantization → logographic glyph selection → GCCL packet construction → OAC speculative manifestation → gain test filtering → math notation eigenvector encoding → repeat position encoding → PIST perturbation bundle → erans residual entropy coding → sparse structured archive. 14 encoding stages, 19 decode stages. Archive format MCA1 with 17 sections. 13 compression gain sources: tabula plena pruning (90-99% of Unicode), FAMM delay pruning (10-20% context efficiency), OAC gate pruning (2-5% bloat avoidance), radius-ratio quantization, gain test pruning, shear matrix pruning (15-30% structured regions), topological skeleton (50-150MB vs 1GB), math notation density, repeat encoding, S3C shell efficiency, PIST bundle efficiency, erans entropy, hippocampus pattern separation, composite promotion. Estimated 18-28% reduction vs current Hutter best + navigable capability. Biological fidelity: follows hippocampus engram consolidation dynamics (neuron dropout, pattern separation, discrimination thresholds, inhibitory plasticity, composite promotion). 18 keeper phrases. Core: The density field is the manifold; the glyph packets are the navigators; the shear matrix is the map; FAMM is the temporal wiring. |
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| .agents/plugins | ||
| .changes | ||
| .consolidation-manifests | ||
| .github | ||
| .vscode | ||
| 0-Core-Formalism | ||
| 1-Distributed-Systems | ||
| 2-Search-Space | ||
| 3-Mathematical-Models | ||
| 4-Infrastructure | ||
| 5-Applications | ||
| 6-Documentation | ||
| 6-Kernel-Shim | ||
| ai-math-discovery-systems | ||
| docs | ||
| hardware/tangnano9k/rtl/generated | ||
| hooks | ||
| info | ||
| plugins/substack-connector | ||
| scripts | ||
| tools/kotc | ||
| workspace-config | ||
| .gitattributes | ||
| .gitignore | ||
| .gitmodules | ||
| Agda_Test.agda | ||
| Agda_Test.agdai | ||
| ARCHITECTURE.md | ||
| CHANGELOG.md | ||
| changes.zip | ||
| CONCEPTS.md | ||
| config | ||
| description | ||
| GETTING_STARTED.md | ||
| HEAD | ||
| lean_hardware_checker_summary.json | ||
| LICENSE | ||
| package-lock.json | ||
| package.json | ||
| PROJECT_MAP.md | ||
| README.md | ||
| test.lean | ||
| THIRD_PARTY_NOTICES.md | ||
| TODO_MAP.md | ||
Research-Stack (OTOM)
Ultra-low power, zero-decimal data routing and compression.
If you just stumbled across this repository, you might see words like "Topological State Machine" and "Manifold Points" and assume this is dense, academic magic. It isn't.
This project is actually built on a very simple, grounded idea: Modern computing is incredibly wasteful.
Right now, running AI or compressing massive datasets requires giant, power-hungry GPUs because they rely on Floating-Point Math (heavy decimals like 3.14159...). We prove that you don't need decimals. You can map complex data (like the grammar of the English language) into structural shapes, and navigate them using only simple integers (whole numbers).
Because we only use addition, subtraction, multiplication, and modulo, this system can run on a $15 blank-slate microchip (an FPGA) instead of a massive server farm.
🛠️ How we know it works (Zero Guesswork)
We do not guess that our integer math works. We prove it. The core of this project is written in Lean 4, a strict mathematical theorem prover. If our logic has a flaw, the code physically will not compile. We currently have over 3,500 mathematically verified proofs securing this engine.
Python, Rust, and Verilog only exist in this repository to act as "dumb pipes" to feed data into our proven mathematical core.
📁 Repository Structure (By Goal)
Everything is numbered so you know exactly what depends on what.
| Folder | What it actually is (Plain English) |
|---|---|
0-Core-Formalism/ |
The Brain. Lean 4 code. The mathematically proven integer arithmetic. This is the source of truth. |
1-Distributed-Systems/ |
The Network. Code for making multiple computers talk to each other to share the workload. |
2-Search-Space/ |
The Navigator. Algorithms that search through our data shapes to find the best routes. |
3-Mathematical-Models/ |
The Library. Where we store our databases of equations and compressed English grammar shapes. |
4-Infrastructure/ |
The Drivers. Code that physically talks to the hardware, GPUs, and APIs. |
5-Applications/ |
The Executables. Python scripts that run the system end-to-end. (These are just shims connecting data to our Lean 4 Brain). |
6-Documentation/ |
The Manual. Where you'll find plain-English explanations and our theoretical papers. |
shared-data/ |
Raw data, cache, and exported files. |
📖 Where to start?
If you are new here, read these two files first:
- Explanation for Humans - A translation guide for our technical jargon.
- Calculator-Plain Math - Proof that every complex concept we use can be calculated on a high-school graphing calculator.
🚀 Quick Start
# 1. Compile the mathematically proven core (Takes ~1-2 minutes)
cd "0-Core-Formalism/lean/Semantics"
lake build
# 2. Run the English Manifold Builder (Compresses English via grammar shapes)
cd "../../.."
python3 5-Applications/scripts/redpajama_english_manifold.py
⚖️ The One Rule for Contributors
Lean is the source of truth.
If you add logic, it goes in 0-Core-Formalism/lean/Semantics/ and must be mathematically proven. Python scripts may not contain complex math, branching logic, or cost functions. Python is just the delivery boy for Lean.
Research Stack — All Rights Reserved