Mathematics: Publication Architecture

This section serves as the constitutional boundary between conceptual physics and formalized mathematical proofs.

Purpose

The distinction between interpretive theory and formal mathematics must be strictly maintained to prevent overclaim. This section isolates:

• Mathematics: The formal language and structure.
• Formalization: The translation of mathematics into proof assistants (Lean, Coq).
• Theorem Candidates: Proposed proofs awaiting verification.
• Proof Programs: The ongoing computational effort to resolve candidates.
• Simulation: Python/Ogl mappings of invariant structures.
• Falsifiability: Empirical boundaries mapping math to physical observation.

Mathematical Publication Lifecycle

The pipeline operates as a strict one-way sequence:

1. RAW IDEA: Conceptual structures found in _context/ sources.
2. FORMAL OBJECT: Axioms and Invariants extracted and defined cleanly.
3. CONJECTURE: A proposed mathematical relationship.
4. THEOREM CANDIDATE: A fully written proof that has not yet been machine-checked.
5. FORMALIZATION: Machine-checked implementation in Lean/Coq.
6. REVIEW: External institutional peer-review.
7. PUBLICATION: Acceptance into the canon as verified physics.

WARNING

This repository currently contains no claims of solved physics or [REDACTED_OVERCLAIM]s. All items exist within steps 1-4. Pure process.