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Cohesion Dynamics (CD)

Paper M8 — From Tolerance to Invariance in Cohesive Continua

M8 formalizes how continuously accumulated mismatch becomes discrete, conserved structure using only existing substrate mechanics—relaxation, closure, and partition. Prior work showed how interference, decoherence, and emergent structure arise while mismatch remains within tolerance WW; this paper addresses the essential transition that remained implicit: how mismatch becomes closure-stable.

Key Results:

  • Certain structural asymmetries are invariant under all admissible closures and therefore persist as identity-defining features of a cohesive phase
  • Three independent mechanisms by which mismatch becomes closure-stable: symmetry alignment failure, structural overload, and closure synchrony loss
  • Explains emergence of conserved quantities, superselection sectors, abrupt decoherence, and no-hair boundaries
  • Renders W-narrowing programme well-posed without introducing new axioms or physical primitives

Epistemic Role: Clarifies the structural origin of conservation laws and invariants from substrate mechanics alone. Introduces no new axioms or mechanisms; formalizes what was implicit in prior work.

Paper ID: CD-M8 | Series: M-series (Formal Mechanisms) | Status: Draft | Dependencies: A, M1–M7; informed by B1–B2, G1