Paper M3 — Modes as Emergent Constraint Eigenstructures

Cohesion Dynamics (CD) — Draft v0.2

M3 formalizes the concept of modes as emergent, discrete structures arising from constrained informational dynamics. The goal is to explain how stable, repeatable, and finite classes of behavior arise without postulating quantization, particles, energy levels, or spacetime as primitives.

Key Results:

• Unconstrained information admits no structure; purely local constraints without further structure fail to produce discreteness
• Empirical results from constructor emergence programme demonstrate convergence toward specific, repeatable, and stable configurations—neither arbitrary nor continuously variable
• Modes emerge as discrete basins in constraint state space under precedence-restricted admissibility
• Tolerance is not a softening of constraint satisfaction but an additional constraint defining cohesive domain boundaries

M-Level Formalization: Builds only on information as ontologically primitive, exact binary constraint satisfaction, tolerance as admission constraint, and local precedence selection among admissible updates. No assumptions about physical instantiation, measurement, probability, or specific dynamics of our universe.

Paper ID: CD-M3 | Series: M-series (Formal Mechanisms) | Status: Draft v0.2 | Dependencies: M1–M2