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Research-Stack/0-Core-Formalism
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allaun a247dcb1b6 feat: complete all four interconnected solves 
1. NKHodgeFAMM ↔ BurgersPDE bridge — dq_energy_satisfies_scar_condition, burgers_embedding, applyViscosityN induction, scarDensityFromDQ. Build: 8316 jobs, 0 errors.

2. Lonely Runner sim — lonely_runner_sim.py with circular Betti tracking. All k≤4 test cases confirm beta_0 > 0 (lonely times exist). Fixed uint8 wrap-around bug.

3. Taylor-Green Betti tracker — taylor_green_betti.py with 6 scenarios. beta_2 correctly detects voids: TG smooth=0, TG+void>0, noise=77. Fixed int64 serialization in betti_tracker.py.

4. Q1/Q2 vorticity decomposition — VorticityDecomposition.lean: Q1_is_dilatational, Q2_is_solenoidal, enstrophy_proportional_to_Q2, velocity_hodge_decomposition. All rfl proofs + native_decide witnesses. Build: 8598 jobs, 0 errors.
2026-06-16 22:21:55 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean feat: complete all four interconnected solves 2026-06-16 22:21:55 -05:00
otom chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -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
scripts chore: commit accumulated working tree changes 2026-05-30 00:10:02 -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