The Thermodynamic Arrow of Time in a Double-Layer Topology-Invariant Chiral Space with Geometric (GR) and Gauge (QFT) Degrees of Freedom :Time-Entropy Mapping; Mass-Gravity Duality; Metric-Frequency Mirroring

This paper presents an ontological realistic framework based on a topology-preserving two-layer base space composed of a sub-Planckian elastic substrate and a network of Planck-scale Space Elementary Quanta (SEQ),wherein each SEQ itself emerges from coherent excitation within the same sub-Planckian elastic medium, ensuring dynamical consistency and compatibility across scales. The model attempts to reconcile General Relativity, Quantum Field Theory and Quantum Thermodynamics by treating spacetime as a stable graph structure network , where geometry, matter, and fields emerge from energy redistribution within a fixed topological structure. At its foundation is the concept of non-statistical analytic entropy(S=∏mᵢ, i∈N), defined as the multiplicative product of SEQ energy norms during energy homogenization process in space. This entropy increases irreversibly with each discrete state update of the SEQ network, providing a mechanistic origin for time: one transformation corresponds to one moment, forming a direct Space-Time-Entropy correspondence. The theory is built upon the following foundational postulates:(1) Spacetime has two inseparable layers—the sub-Planckian elastic medium hosts geometric dynamics of GR, while the SEQ network encodes spin and gauge modes; (2) The connectivity of the SEQ network remains invariant, ensuring causal stability and strict energy conservation;(3) Entropy is not statistical but analytically computed from sequential spatial transformations, tracking evolution with high resolution;(4) Chirality of Space: SEQ possess an intrinsically fixed chiral spin in its ground state, breaking parity symmetry at the fundamental level and offering a physical basis for matter-antimatter asymmetry;(5) Time emerges as a count of irreversible network updates, driven by entropy growth;(6) Gauge symmetries are reinterpreted geometrically.(7) The geometry-frequency correspondence maps general relativistic metric variations directly into the resonance frequency domain of SEQ: spatial deformation lowers local SEQ frequencies, faithfully reproducing gravitational time dilation and redshift. This exact mapping not only aligns with all key observational predictions of general relativity but also establishes a concrete physical bridge between the geometry of GR and the quantum dynamics of QFT.(8) The model provides a clear geometric picture of mass-gravity duality mediated by gauge interactions: SU(3) color dynamics arise from spherically symmetric compression of the SEQ lattice network, where energy localization generates effective mass through stored elastic strain,this compression generates isotropic gravitational fields via the external stretching of space. The Higgs mechanism emerges as a "quantum chiral locking" process that stabilizes these compressed states against elastic relaxation, offering a physically intuitive and geometrically transparent origin for mass generation—linking gauge symmetry breaking directly to structural rigidity in quantized spacetime.(9) Electromagnetism propagates as transverse waves in the elastic substrate, consistent with light-speed invariance. (10) The spherical layered configurations of leptons and baryons provide a physical picture for issues such as the fractional charge of quarks, neutrino oscillations, and the neutron electric dipole moment. (11) This model adopts the resonant frequency and resonant axis vector of SEQ as the two generalized coordinates within the Hamiltonian formalism, grounded in the fundamental postulate of invariant spatial topology. This foundational assumption not only ensures global energy conservation as a natural consequence but also significantly simplifies the structure of the system's Hamiltonian formulation. Crucially, it endows the Hamiltonian with a clear physical intuitive image—representing an instantaneous panoramic snapshot of the spatial energy distribution across the SEQ network—revealing not only where energy is localized, but also the underlying gradients that drive its redistribution. The model proposes testable predictions: The model requires positron-electron magnetic moment asymmetry due to their opposite chiral coupling to SEQ spin ground states with fixed chirality, currently under experimental precision. Its discrete, rule-based structure supports automaton simulation, opening pathways to numerical exploration of quantum gravity and emergent complexity.