Unified Cosmic Mechanics Evolution Theory (XX) Momentum Topological Coding_ Derivation of Particle State Evolution Equations

For a long time, classical mechanics, relativity, and quantum mechanics have been self-consistent within their respective fields, but their underlying logic remains ununified. This has led to the reality paradox of micro-particles "being in different spacetimes simultaneously" and unclear applicability boundaries among the three theories. Based on the Unified Cosmic Mechanics Evolution Theory, this paper concludes that the universe is a relational state evolution system, and the only physical reality is the momentum unit (m₀c), including the mass carrier m₀, the driving rate c, and vector superposition ability, with interaction strength determined by the perceptual cross-section. All particles are encapsulated by momentum units: fermions in a spherically symmetric vector superposition state, photons in a co-directional evolution state. Quantum entanglement is stable cooperative evolution between multi-layer encapsulations. The field is a set of rules constraining encapsulation, perception, and interaction. Particles can present three states: collapsed, diffused, and fluid. Thus, the probabilistic wave evolution of particles is not a mathematical fiction, but a deterministic dynamic process jointly determined by internal momentum flow and external causal interaction. The prediction of wave behavior is essentially the unified description of total momentum flow, internal self-constraint, and external causal interaction, consistent with the research direction of realist quantum mechanics.