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Research-Stack/0-Core-Formalism
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Brandon Schneider 06c83af4c8 Add EntropyCollapseDetector kernel and arithmetic spec 
- Add EntropyCollapseDetector.lean: executable checks for triple condition
  (braid crossings, σ_q/Hurst, D_q/Rényi D_2) with dense_rank tie handling
- Add Manifest.lean: imports EntropyCollapseDetector into HCMMR
- Add ArithmeticSpec_Corrected_2026-05-11.md: verified arithmetic constants
  K=21 for W=8 (~5% FPR), σ_c=0.4, D_c=0.7 (heuristic)

Arithmetic self-verified in Python:
- Braid crossings: 12 (K=7 non-selective, K=21 selective)
- σ_q = H = 0.032 (anti-persistent oscillating series)
- D_2 = 0.514 (moderate concentration)
- D_c=1.2 invalid for 1D Rényi D_2; corrected to 0.7

Prime gap re-test with K=21 shows signal mostly dies:
- 1M primes: 86,565 fires at K=7 (artifact) vs 38 at K>21 (genuine)
- Detector now selective but potentially too conservative

Generated with [Devin](https://cli.devin.ai/docs)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
2026-05-11 21:44:47 -05:00
..
core initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
lean Add EntropyCollapseDetector kernel and arithmetic spec 2026-05-11 21:44:47 -05:00
otom collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
receipts docs: add bio optical witness living light equations 2026-05-09 20:53:51 -05:00
rust/ftdi_gimbal initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00

README.md

0-Core-Formalism

Purpose: Formal foundations for the entire Research Stack — Lean modules, bind primitive, Triumvirate consensus, core source.

No external dependencies. All other layers depend on this.

Contents (Target)

Source Destination
0-Core-Formalism/lean/Semantics/ 0-Core-Formalism/lean/Semantics/
core/ 0-Core-Formalism/core/

Concepts

  • bind — State → (State → Action) → State
  • TriumvirateClock — ternary consensus (ADD/PAUSE/SUBTRACT)
  • Builder/Judge/Warden — roles mapped to hardware registers
  • OTOM — Ordered Transformation & Orchestration Model

Build

cd "0-Core-Formalism"
lake build