Discrete Electromagnetic Interaction Theory for Slit Experiments: Material Boundaries, Accumulation, and AI-Compatible Reasoning

This work presents a discrete, interaction-centered reinterpretation of slit-based interference experiments, treating slit boundaries as finite atomic structures with active electromagnetic properties rather than as geometrical, interaction-free constraints. Interference phenomena in slit experiments are traditionally described using continuous wave superposition, with slit boundaries treated as geometrical and electromagnetically neutral. In this work, we present a discrete, interaction-centered framework in which slit boundaries are modeled as finite atomic structures with incomplete electromagnetic cancellation. Photons and electrons are treated as finite entities undergoing localized, time-dependent electromagnetic interactions during slit transit. Interference patterns are shown to arise as accumulated statistical distributions of exit directions produced by many discrete events, rather than as instantaneous self-interference of single particles. A complete step-by-step mathematical formulation is provided, compatible with finite reasoning and artificial intelligence modeling. The framework predicts material-dependent and surface-dependent interference effects and motivates experimental tests using asymmetric and material-specific slits. DIY experimental photographs are included as an appendix to illustrate practical realizations of electromagnetically active boundaries. This document combines all conceptual sections and all mathematical steps into a single, unified exposition. It presents a discrete, interaction-centered reinterpretation of slit-based interference experiments, integrating physical reasoning, logical structure, and explicit equations. Continuous wave superposition is replaced throughout by finite electromagnetic interactions between passers (photons or electrons) and electromagnetically active atomic boundaries.