mirror of https://github.com/allaunthefox/Research-Stack.git synced 2026-07-31 03:05:21 +00:00

History

Brandon Schneider 791dd55d4f feat(lean): spectrum invariant verification harness for Burgers-PhiNUVMAP bridge Comprehensive §10 test suite running the bridge across 9 initial conditions and verifying against known invariants: Test fixtures: • smooth parabola (convex, all diffs ≥ 0) • shock step (mixed-sign diffs) • sinusoidal (convex, same as parabola) • rarefaction wave (linear, identity under contraction) • asymmetric ramp (linear, non-zero winding) • gaussian bump (mixed-sign diffs) • zero field (trivial, identity) • constant field (linear, identity) • double shock (mixed-sign diffs) Invariant checks: • Regime classification via spectral discriminant gate • Kinetic energy of initial state (non-negative) • Golden-contraction energy dissipation (convex/linear fields) • Spatial & temporal winding numbers (physically consistent) • CFL-like stability proxy Key finding: Q16_16.mul/div use raw UInt64 arithmetic on the underlying UInt32 values, which produces incorrect results for negative operands (the sign bit is treated as magnitude). This affects fields where the golden contraction has negative local deviations (u−c < 0). Working cases (convex/linear fields where all u−c ≥ 0) verify correctly: – Parabola: E=17.0 → 14.55 (delta = −2.45) ✓ – Linear fields: identity contraction (delta = 0) ✓ – Zero field: identity (delta = 0) ✓ Build: lake build Semantics green at 3541 jobs. Generated with [Devin](https://cli.devin.ai/docs) Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>		2026-05-21 01:26:00 -05:00
..
core	Remove legacy Python prototypes superseded by Lean formalization	2026-05-19 15:34:17 +00:00
lean	feat(lean): spectrum invariant verification harness for Burgers-PhiNUVMAP bridge	2026-05-21 01:26:00 -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