Core Theorems

The system’s spine: master equations, closure, and meta-theorems.

THE PAPER — P4.1: The Closed System

Why closure and boundary conditions are not optional, and what breaks without them.

Read: P4.1 — The Closed System ~12–18 min

Also relevant: P6.3 — The Final State

The Axioms (15 formal claims)

  • 012 [Equation] Master Equation First Form
  • 056 [Axiom] Closure Requirement
  • 070 [Theorem] Sign Invariance Theorem
  • 071 [Corollary] Self Flip Impossible
  • 102 [Definition] Unified Field Lagrangian
  • 121 [Axiom] Substrate Independence
  • 135 [Axiom] Master Equation Integration
  • 146 [Equation] Full Master Equation
  • 166 [Proposition] Incompleteness Stage
  • 181 [Meta-Axiom] Axiom System Consistency
  • 182 [Meta-Axiom] Axiom System Completeness
  • 183 [Meta-Axiom] Axiom System Independence
  • 184 [Final Theorem] Logos Theorem
  • 185 [Final Theorem] Coherence Optimality
  • 187 [Closure] Axiom Chain Complete