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FORMALIZATION ROADMAP

IMPORTANT

Spine Position: /04-mathematics/`n> Status Boundary: Internal Research State Publication Boundary: M0-M4 (Not externally vetted) Source Authority: GILC CodexStation Related Concepts: Formalization, Falsifiability

Definition of Formalization Candidates

Mathematical structures mapped in the 04-mathematics route are candidates for subsequent formalization. Formalization verifies the logical coherence of the structures independently of the natural language interpretation.

Lean/Coq Verification

Target: Purely theoretical and categorical derivations.

Current extraction targets:

  • The End of Physics Theorem (Categorical forms)
  • Functorial Shadowing of Coherence
  • Observer Incompleteness limits

Computational Simulation (Python/C++)

Target: Empirically testable boundary constraints and scaling laws.

Current extraction targets:

  • Digital Fabrica constraints
  • Predictive Coherence modeling
  • Stress testing and validation bounds