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Research-Stack/0-Core-Formalism
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Brandon Schneider 81548958bb feat(lean): inline spectral refinement kernel into PistSimulation.lean 
Port the Gauss-Jordan LSQ spectral pipeline from the cascade stash
into a self-contained, policy-clean module:

- BraggPeak, MagneticDomain, pseudoVoigtQ16, chiSqWindow inlined
  as pure Q16_16 types (no Float, no string fields in compute paths)
- MagneticRegime inductive type replaces string-based regime classification
- QuadraticPacket with vertex-form (a, h, k, Δ, width, χ²)
- MatrixPacket with Gram matrix G=AᵀA, det3, rank3, trace3, spectral placeholder
- ChaosState + chaosConverge affine IFS contraction loop (converges in 5 steps)
- 13 #eval! witnesses passing on synthetic 8-bin fixture
- Removes dependency on deleted Astrophysics modules

Build: lake build Semantics = 3541 jobs green.

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

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
2026-05-20 23:48:32 -05:00
..
core Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
lean feat(lean): inline spectral refinement kernel into PistSimulation.lean 2026-05-20 23:48:32 -05:00
otom docs: add external research import maps 2026-05-20 18:41:21 -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