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Cross-referenced against our prover orchestration layers: - Plan-Execute-Verify-Replan ↔ L0-L3 pipeline - Agents as specialists ↔ 11-agent swarm - Guardrails ↔ ProverWatchdog - Sandbox testing ↔ Virtual FPGA tests - Trajectory-aware eval ↔ BFS audit trail 5 gaps identified, 4 strengths confirmed
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9 lines
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created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Lean Math Admissibility Gate
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title: Mass Number Theory
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type: text/vnd.tiddlywiki
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! Mass Number Theory
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Mass Number admissibility gate formalized in `0-Core-Formalism/lean/Semantics/Semantics/Core/MassNumber.lean` — three-layer gate structure: Admissible (A), Residual (R), Boundary (ε guard). Core rule: A ≤ τ · (R + ε). If the rule fails, the operation is rejected to the Underverse. The `MassNumberAdapter.lean` bridges to the broader semantics system. Python implementations at `0-Core-Formalism/core/formalize_mass_number.py` and Lean proof data at `3-Mathematical-Models/mass_number_proofs.json`. The `MassNumberLinter.lean` provides static analysis for Lawful transitions. Integrates with the [[Hutter Prize Compression]] gate (`hutterCompressionGate` in Core/MassNumber.lean) and the [[Reality Contract Mass Number]] for commitment enforcement. The Erdos Mass Number Map (`ErdosMentalModelMassNumberMap.md`) documents forced-pattern relationships.
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