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Research-Stack/0-Core-Formalism
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allaun 80e4c944d1 feat: goormaghtigh_collapse theorem with full proof structure 
Theorem: For x>1, y>1, m>2, n>2, (x,m)≠(y,n),
if R(x,m) = R(y,n) then (x,m,y,n) = (5,3,2,5) or (90,3,2,13).

Two axioms remain:
- goormaghtigh_finite_search: 979 repunit pairs enumerated in Python,
  only 2 collisions (31 and 8191) — verified externally
- goormaghtigh_boundedness: the 16D→0D projection bounds x,y≤90, m,n≤13
  (equivalent to the full conjecture — this is the open number theory)

Goormaghtigh's requirement m,n>2 ensures no trivial solutions like
R(6,2)=7=R(2,3). The (x,m)≠(y,n) condition excludes identity solutions.

Build: 8317 jobs, 0 errors.
2026-06-17 00:28:04 -05:00
..
core fix(adversarial-review): resolve 35 critical coding bugs across 8 subsystems 2026-05-31 23:38:03 -05:00
lean feat: goormaghtigh_collapse theorem with full proof structure 2026-06-17 00:28:04 -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