The Arrow of Time under The Mapping model between time set and entropy set

Abstract
This paper introduces a discrete ontological framework that unifies spatial quantization with thermodynamic principles to redefine the temporal evolution of the universe. By proposing the Space Elementary Quantum (SEQ) as the fundamental constituent of spacetime, we establish three novel mathematical constructs: (1) a 3D structural matrix coupling time and entropy, (2) an orientation-quantized spatial lattice model, and (3) a multi-mapping framework linking spacetime transformations, entropy dynamics-energy redistribution and time set. This framework resolves the long-standing question between relativistic time  and entropy-driven cosmic evolution while offering unified interpretations of wave-particle duality and light-speed invariance. Furthermore, the ground-state energy distribution of SEQs provides a mechanistic explanation for dark energy and dark matter. By integrating General Relativity and Quantum Field Theory, this work bridges geometric spacetime with thermodynamic irreversibility, addressing inconsistencies in CPT symmetry and cosmological time asymmetry.