Structural Mechanics in Vacuum Electrodynamics: A Classical Topological Approach

Abstract

Overview & Summary This manuscript presents a classical, deterministic mechanical framework for electron-positron pair production and particle emergence, addressing a fundamental gap in Quantum Electrodynamics (QED). While standard QED calculates pair production probabilities, it lacks a visualizable physical model describing how propagating electromagnetic field energy transforms into localized, static mass and electric charge. This work models undisturbed space not as a passive void, but as an unformed calculus continuum (lim δ → 0) conditioned by ambient terrestrial gravity Φgrav. A propagating high-frequency photon acts as a generative operator that dynamically induces a three-layer concentric energy profile (a negative-energy core, a zero-energy crossing, and a positive-energy outer shell). Under extreme localized field stress—such as encountering the steep gravitational gradient of a heavy nucleus acting as a physical anvil—the space segment undergoes a deterministic, four-phase topological folding sequence. This sequence terminates in topologically stable, self-locked geometric solitons (electron and positron), revealing electric charge to be the macroscopic signature of the exposed topological seams of these folded discontinuities. Context & Unification with Previous Works This preprint forms the third major foundation of an overarching classical revival in unified physics, directly building upon and bridging the author's previous open-access preprints: Phase-Resolved Electromagnetic Energy Propagation: Reference: Maassoom, Y. A. (2026). Phase-Resolved Analysis of Electromagnetic Energy Transport via the Instantaneous Poynting Vector. ECSarXiv. Connection: The sub-cycle, high-frequency 2ω energy pulsations of the instantaneous Poynting vector (S = E × H) established in the 2026 Poynting vector study serve as the active mechanical engine driving field stress and triggering the spatial breakdown sequence in this manuscript. Nuclear Architecture & The Periodic Matrix: Reference: Maassoom, Y. A. (2026). Reconstructing the periodic table using the physical parameters of nuclear architecture. Research Square. Connection: The hierarchical nuclear gravity stacking model established in the 2026 periodic table reconstruction provides the physical mechanism for the "gravitational anvil" effect. The localized, dense gravitational anchor of nuclear matter pre-stresses the adjacent vacuum substrate, depleting its spatial elasticity and providing the strict boundary constraint required for soliton folding. Together, these works unite electromagnetic wave propagation, vacuum topology/pair production, and nuclear architecture under a continuous, deterministic paradigm.