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Temporal Texture Gravity: A Scalar-Tensor Framework with Fractal Activation

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What if the fundamental building block of cosmic physics isn't a collection of disparate objects and forces, but the multi-scale flow of time itself? This master document presents the comprehensive, overarching framework of Temporal Texture Gravity. It serves as the primary reference document, uniting general relativity, early-universe inflation, late-time dark energy, quantum vacuum physics, and quantum entanglement under a single, cohesive architecture. The master paper organizes the entire theoretical program across four distinct epistemic levels, ensuring complete clarity on what is exact, what is conditional, and what remains an open problem: The Classical Foundation (Paper A): Establishes a physical-frame scalar-tensor theory where the local rate of time flow is the primary dynamical field. It proves an exact reduction to Einstein’s General Relativity on its stable branch, satisfying classical solar system tests, black hole physics, and gravitational wave speed bounds by geometric structure rather than fine-tuning. Unified Tower Cosmology (Paper B): Introduces a multi-scale "Texture Tower" governed by a single activation boundary equation. This single mechanism unifies early-universe inflationary freeze-out and late-time dark energy thawing through a simple sign flip, establishing a strict, parameter-free bound for dark energy ($w \ge -1$). Vacuum Algebra & Scale Invariance (Paper C): Solves the infinite quantum vacuum divergence at one-loop order in curved spacetime through discrete supertrace-annihilator cells. It replaces infinite mathematical blow-ups with a finite, stable energy shift, while establishing a transparent empirical ledger for discrete scale-invariant phenomenology. Quantum Foundations (Paper D): Explores a candidate "temporal bubble" mechanism for quantum entanglement and non-local correlations. It derives testable gravitational-decoherence discriminants while maintaining strict no-signaling boundaries and clear separation from the core classical action. Serving as the central anchor for the entire research initiative, this master document connects the specialized individual papers into an honest, fully transparent, and mathematically rigorous roadmap for modern theoretical physics.

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Sujets associés

Cosmology and Gravitation TheoriesAdvanced Mathematical Theories and ApplicationsNoncommutative and Quantum Gravity Theories

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