Multiplicative Entropy Encodes Time-Causality; Gauge Mediates Mass-Gravity; Frequency Mirrors Metric-Geometry:A Two-Layer Fiber Bundle Model with Topologically Stable Base Space

A Model Bridging General Relativity, Quantum Field Theory, and Quantum Thermodynamics. This paper proposes a two-layer fiber bundle space model where spacetime is composed of Planck-scale discrete units -Space Elementary Quanta (SEQ) and Sub-Planck-scale elastic substrate. (i)Time emerges from irreversible state transitions of the SEQ network, with each step corresponding to a calculable entropy(S=∏mᵢ, i∈N) from transformation matrices governing spatial changes. (ii) Matter itself is a manifestation of compressed space: SU(3) symmetry mediates local SEQ compression, storing energy as mass while stretching surrounding space to generate gravity. The Higgs field stabilizes compressed regions via symmetry breaking, acting as a "quantum lock". (iii)This model explains why time slows near massive objects—local deformed SEQ network undergo fewer state transitions frequency. (iv)The model makes testable predictions, including a chiral asymmetry in electron-positron magnetic moments due to their distinct coupling to the fixed-spin SEQ ground state. (v)It also resolves black hole singularities by imposing an upper limit on SEQ tension. (vi)By establishing a correspondence between metric-scale geometry and quantum resonant frequencies, an alternative framework is presented.(vii) By treating spacetime as a dynamic quantum-elastic network, this framework bridges general relativity, quantum field theory, and thermodynamics. (viii)A GR Reformulation of Electromagnetic Interactions within the Quantum Elastic Spacetime Framework. (ix)This work presents a physical picture that accounts for the initial low entropy, the generation of matter and dark matter, and the observed anomalies in galaxy rotation curves during the early cosmic stage. (x) Degrees of Freedom in the Future and The essence of life in This Model. (xi)This model sets the resonant frequency and resonant axis vector of SEQ as two generalized coordinates in Hamiltonian formalism with the fundamental assumption of invariant spatial topology, naturally yielding global energy conservation and simplifying the Hamiltonian formulation of the system. (xii) Crucially, the framework offers mechanistic explanations for a broad spectrum of quantum and relativistic phenomena. It provides intuitive physical pictures for the non-additivity of the speed of light, wave-particle duality, the uncertainty principle, parity non-conservation, the electron's 1/2 spin, the neutron electric dipole moment problem, the fractional charge of quarks, the nature of energy in nuclear reactions, muon decay, the Structural Origins of Fermion Generations and Neutrino oscillation.(xiii)This model explains quantum entanglement through global energy conservation while preserving local causality. ★★★Model Originality Statement★★★:(1)Fundamental Structure: A Dual-Layer Substrate with Topologically invariant Space Configuration and SEQ spin with chirality fixed.(Section 1); (2)Time and Multiplicative Entropy: A Computable, Non-Statistical Entropy.(Section 2,3,4,5,6); (3)Mass-Gravity Unification: A Dual Expression of Spatial Elasticity. (Section9,10,12); (4)Mirror Relation Postulate Between Spacetime Geometry and Quantum Resonance Frequency. (Section 13); (5)Electromagnetic Waves: A Physical Picture Based on Maxwell’s Vortex Model and Topological Fiber Structure. (Section 14);(6) Cosmological Interpretations: Alternative Explanations for Cosmic Acceleration, Dark Matter and Galactic Rotation Anomalies. (Section 9.1); (7) Randomness of Evolution, Degrees of Freedom in the Future and The essence of life in This Mode. (Section13, Appendix 2); (8) The fixed chiral spin of SEQ assumed in this model can explain parity violation and the scarcity of antiparticles, while also providing a physical picture of the Higgs mechanism. (Section7,Section10,Section11); (9) The unique 'layered dynamic structural matrix' configuration of the SEQ network. (Section 11).