Reframing the Fine Structure Constant through Entropy-Emergent Suppression and Harmonic Geometry

This document rederives and reinterprets the fine structure constant α ≈ 1/137 using the Entropy-Emergent Suppression Framework and harmonic geometry. We treat α as an emergent, entropic coherence parameter dependent on: • Quantum Vacuum Coherence Density s • Crossover energy scale E0 • Harmonic boundary conditions via geometric factors (π) Key advances include: 1. Grounding QVCD in quantum information and explicit redefinition of s. 2. First-principles derivation of s from QFT area-law entanglement and its holographic dual. 3. Empirical justification of E 0 ≈ 1 GeV from LIGO O3 shot-noise data. 4. Comprehensive experimental proposals: Casimir cavity tests, squeezed-light inter-ferometry, and quasar-spectra reanalysis. 5. Mathematical bridge to QED vacuum polarization, grounding entropic suppression in one-loop corrections. 6. Geometric role of π via Gaussian integrals, Euler's identity, and fiber-bundle arguments. 7. Dimensional corrections and numerical recalculations, confirming consistency with measured α. 8. Lagrangian formalism incorporating entropy suppression. 9. Comprehensive Predictive Framework linking vacuum structure, entropy, geometry, and fundamental constants. These elements combine into a unified predictive framework for vacuum coherence, entropic suppression, and fundamental coupling emergence.