ZBT Dual Dynamical Equations of Cosmic Evolution——Spacetime-Gravity Quantization Dynamics and Subphoton Continuous Field Equation under Photon Energy Threshold ② Authors

This paper constructs a fully axiomatic ZBT dual dynamical system for cosmic evolution based exclusively on three first principles: the zero-initial symmetry axiom, the normalized parity-breaking perturbation axiom, and the single-bit topology-gauge dual constraint axiom. Two self-consistent, complete, and mutually complementary closed sets of cosmic dynamical equations are rigorously derived via necessary and sufficient mathematical conditions, without exogenous physical principles, empirical assumptions, or fitting parameters. Existing gravity and quantum gravity theories only construct symmetric spacetime structures and fail to unify static symmetric geometry with the dynamic spontaneous evolution mechanism of the universe. This paper introduces a critical photon energy threshold as the global evolution criterion, which strictly divides the universe into two mutually exclusive and complete dynamical domains: a high-energy quantization domain and a low-energy continuous field domain. In the superthreshold high-energy domain, spacetime, gravity, and entropy variation are fully quantized under the domination of topology-gauge dual constraints, leading to strictly unidirectional time evolution and monotonic entropy growth. In the subthreshold low-energy domain, the discrete single-bit topological constraint is released while the gauge invariance constraint is retained, and the system exhibits subphoton continuous field evolution characteristics with no wavefunction collapse, no quantum decoherence, and asymptotically conserved entropy. Through purely axiomatic mathematical deduction, complete high-low energy dual dynamical equations are established. Based on the axiomatic constraints and analytical solutions of the equations, core theorems including the unidirectionality of time, completeness of causal sets, and endogenous extreme-value evolution of the system are strictly proved with necessary and sufficient conditions. The proposed system compensates for the defects of traditional quantum gravity theories, namely the lack of endogenous symmetry-breaking driving sources and high-low energy field dichotomous structure, and realizes the mathematical self-consistent unification of static gauge symmetric structure and dynamic parity-breaking evolution. This work provides a novel axiomatic theoretical paradigm for the quantitative study of cosmic dynamics. Correspondence: Benlun ZhengE-mail: [email protected]: 0009-0007-6945-7593