Unified Cosmic Mechanics Evolution Theory (XIX) Principle of Momentum Flow Distribution Integral in Multi-Slit Experiments

The traditional path integral formulation of quantum mechanics relies on complex probability amplitudes and the principle of least action, which has conceptual ambiguities in interpreting microphysical mechanisms — serving merely as effective mathematical statistical tools. Based on the Unified Cosmic Mechanics Evolution Theory — where the momentum unit (m₀·c) is the only physical reality, the field is an interaction protocol, and the particle is a momentum encapsulation structure — this paper reconstructs the mathematical description of multi-slit experiments. The new formulation replaces the complex path integral with a dual-integral system: the self-integral describes momentum unit self-evolution along their intrinsic direction, endowing linear motion; the interaction integral describes momentum flow interaction with the slit wall's electromagnetic field, realizing multi-path distribution and direction deflection. These two integrals together constitute the momentum flow distribution integral, interpreting "interference" as the superposition of real momentum flows dominated by the interaction integral. Key insight: Just as a stone falling from a height depends on the perceptual cross-section 1/(4πr²) for its integral result, all forces should be similarly understood — their underlying dynamics must be reduced to the perceptual cross-section mechanism. The interaction integral follows this logic: the relativistic mass-energy equation is a space-time state shaping equation, where the emergent space-time integral reflects Pythagorean conservation (Lorentz covariance); general relativistic integrals involve variable space-time redundancy under field strength; special relativistic integrals arise from perceptual space-time window compression during motion. For micro-particles in multi-slits, this paper primarily adopts the interaction integral mechanisms of special relativity, electromagnetism, and photoelectricity. This framework remains consistent with existing experimental phenomena and proposes testable predictions including slit thickness-dependent deflection and multi-slit interference fringe modulation.