Emergent Coherence: A Unified Framework for Fundamental Constants

We present Emergent Coherence, a flagship synthesis that unites quantum optics, quantum field theory, gravitation, thermodynamics, and information theory into a single paradigm. In this framework, all so-called “fundamental constants” emerge as coherence-decay ratios governed by universal entropic suppression functions of the form C(E) = C0 / (1 + (E/E0)^n) Key highlights: 1. Entropic Fine-Structure: Derivation of α ≈ 1/137 via entropy-driven vacuum coherence decay (Sec. 2). 2. Quantum Informational Gravity: G_eff(E) from quantum Fisher information and field-theoretic one-loop corrections (Sec. 3). 3. Harmonic π Boundaries: π as the universal coherence cell perimeter, linking Berry phases and topological invariants (Sec. 4). 4. Entropic RG: Renormalization group as gradient flow of an entropy functional S({αi}) with Fisher metric (Sec. 5). 5. Generalized Emergent Constants: Empirical justification for a universal exponent n = 2 across multiple observables (Sec. 6). 6. Concrete Experiments: Detailed proposals and required precisions for superconducting qubits, LIGO, CMB-S4, and cold-atom interferometry (Sec. 7). This document includes explicit derivations (Appendix A), cross-referenced equations, and an empirical table validating n = 2 to within uncertainties of 5–10%. We chart clear pathways for theoretical and experimental exploration in physics and beyond.