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Research-Stack/0-Core-Formalism
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Brandon Schneider 42884cff2b feat: DegeneracyConversion — unified gate condition from particle physics 
Five frameworks, one gate: GRANT iff ||coker(M) residual|| < ε

Structures:
- DegeneracyMatrix: 4×4 Hermitian Q16_16 conversion matrix
- AmplitudeVector: 4-component complex amplitude (real/imag Q16_16)
- hermitianQuadraticForm: J_i = Ψ† M^(i) Ψ

Four steals from physics:
1. Atiyah-Singer: index(M) = dim(ker) - dim(cokernel), conserved
2. Jarzynski: ε_grant = exp(-ΔF/kT), Q16_16 LUT for exp(-x)
3. OPE: C_{ab}^c = M^(c)_{ab}, scaling dimensions as FAMM eigenvalues
4. Kolmogorov 4/5: S_3 = -(4/5)·ε·r, exact, no closure

Gate condition: Q16_16 integer comparison, decidable, deterministic.
gateCondition(residual, threshold) → Bool
unifiedGateDecision(residual, deltaF, kT) → Bool

lake build: 3302 jobs, 0 errors, 1 sorry (kolmogorov_exact)
2026-05-28 19:40:47 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat: DegeneracyConversion — unified gate condition from particle physics 2026-05-28 19:40:47 -05:00
otom Add Phys.org May 2026 source intake for bees, biocoatings, THz, and diamond membranes 2026-05-23 19:27:37 -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