Fractal Compactification and Dynamic Compact Dimensions: The Geometric Origin and Unified of Quantum Phenomena

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Abstract

The physical essence of quantum phenomena such as wavefunctions, quantumentanglement, and measurement collapse remains unresolved. This paper proposesan innovative framework that combines fractal compact (based on the fractal man?ifold structures in FHEST) with dynamic compact dimensions (from DRFSMT’sdimensional evolution) to reveal the geometric origin of quantum phenomena1. The wavefunction emerges as a projection of fractal field perturbations in dynamiccompact dimensions (referencing FHEST’s fractal holographic duality).2. Quantum entanglement arises from non-local correlations established by sharedfractal compact field configurations (based on FHEST’s boundary fractal CFT cor?relation functions).3. Measurement collapse corresponds to a dynamic rebalancing process of compact di?mension fields (consistent with DRFSMT’s fractal path integral convergence mech?anism).By integrating the self-similar decoupling of fractal geometry (FHEST’s hierarchi?cal integrals) with high-dimensional field theory (DRFSMT’s modified field equations),this framework offers a novel perspective for unifying quantum mechanics and quantumgravity.

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