Volume 12, Issue 1, pages 497-511
This manuscript develops the Continuity–Coherence Theory (CCT), a foundational framework proposing that physical systems maintain the consistency of their existence by aligning their internal coherence structure with the ambient coherence geometry of their environment. We formalize this principle using a variational coherence functional, a coherence tensor that generalizes geometric curvature through coherence gradients, and equations of motion that recover quantum, classical, and gauge-structural behavior as emergent cases of coherence alignment. CCT predicts that mass–energy distributions correspond to coherence minima, that gravitational attraction arises from coherence gradients rather than fundamental curvature, and that quantum evolution preserves internal coherence under a generalized continuity law. A weak-field expansion reproduces the Newton–Poisson equation, while coherence-preserving transformations yield gauge-like interactions. The framework also provides natural explanations for spin alignment, decoherence, flux pinning, and eddy-current repulsion. A systematic comparison to Verlinde’s entropic gravity, Sakharov induced gravity, tensor-network emergent spacetime, and relational QM clarifies CCT’s conceptual position in contemporary fundamental physics. A set of predictions—including coherence-repulsion, modified inertia, phase hysteresis, and relaxation-time–limited adaptation—suggests empirical avenues for testing the theory. CCT presents a unified geometric principle linking coherence, continuity, and physical law. We conclude by identifying open mathematical and conceptual challenges and outlining directions for future development.
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