Coherence Selection in Time-Scalar Field Theory: Why Particles, Truths, and Persistent Ideas Exist

We present a unified coherence-selection principle within Time-Scalar Field Theory (TSFT) that governs the persistence of physical particles, mathematical invariants, and informational structures. We distinguish probability-space existence from realized coherence and show that both matter and meaning arise as low-cost, self-stabilizing configurations under time-scalar compression. By defining coherent information through invariance under phase rotation (π), recursive scaling (φ), irreducible decomposition (primes), and transdimensional projection (TDI), we derive a dynamical model explaining why truth persists while delusion requires continuous external subsidy. Collapse is shown to emerge as a phase transition when coherence maintenance costs exceed available stabilization capacity, generalizing Froggle’s Dilemma across physical, cognitive, and civilizational domains.