Electron Interference from Internal Geometry: Two-Kernel SU(2) Structure, Quartic Energy Flow, and an Intrinsic Visibility Limit

[38 Application] Summary This paper derives a universal upper limit on electron interference visibility — ⟨V⟩ = √2 − 1 ≈ 0.414 — from the internal geometry of the electron alone, without free parameters or environmental assumptions. The result follows from a two-kernel internal structure at the Compton scale, in which energy circulates between two geometric components under a quartic identity. When internal phases are not externally controlled, ensemble averaging over all phase configurations yields this bound as an intrinsic structural ceiling. A key implication: this limit applies to electrons but not to photons, predicting a measurable asymmetry between the two types of interference. This distinction is experimentally testable. A second falsifiable prediction — an internal oscillatory velocity of v_zb ≈ 0.04047c derived from the anomalous magnetic moment — provides an independent experimental handle on the proposed geometry. Description This document presents a geometric reinterpretation of electron interference grounded in the internal structure of the electron as formulated within the 0-Sphere research program. In contrast to the conventional point-particle description, the present framework models the electron as possessing a minimal internal geometry consisting of two energy kernels separated at the Compton scale. Energy circulates between these kernels through radiative exchange, generating an internal phase variable and naturally giving rise to a spinorial SU(2) structure with 4π periodicity. Within this configuration, interference phenomena are not treated as purely external wave-superposition effects. Instead, observable interference visibility emerges from a quartic internal energy identity governing the cyclic redistribution of energy between the two kernels: E0=E0[cos⁡4θ+sin⁡4θ+1/2 sin⁡2(2θ)]. From this quartic structure, a central result follows:when internal phases are not externally controlled and ensemble averaging is performed over uniformly distributed internal phase values, the interference visibility is bounded by a universal limit ⟨V⟩ = √2−1 ≈ 0.4142. This bound arises without adjustable parameters and represents an intrinsic visibility ceiling independent of environmental decoherence. The model therefore predicts a structural distinction between electron interference (quartic identity, intrinsic visibility limit) and photon interference (quadratic identity, no intrinsic visibility limit). A second principal result concerns the physical interpretation of Zitterbewegung. By applying relativistic kinematics and Lorentz contraction to the internal oscillatory motion, and using the experimentally measured anomalous magnetic moment as input, the framework derives a characteristic internal velocity v_zb ≈ 0.04047c. This value constitutes a falsifiable prediction. Failure to observe internal motion at this scale in sufficiently high-resolution experiments would impose direct constraints on the proposed internal geometric model. Conceptual Scope This work aims to: Derive electron interference visibility from internal geometric first principles Establish SU(2) spinorial structure from two-kernel internal configuration Demonstrate the quartic origin of intrinsic visibility reduction Connect internal oscillatory dynamics to relativistic constraints Provide explicit falsifiable predictions Relation to the 0-Sphere Research Program The present manuscript synthesizes and extends prior results in the 0-Sphere model series, including earlier work on anomalous magnetic moments, radiative energy transfer, Noetherian conservation reinterpretation, and geometric formulations of Zitterbewegung. Where earlier publications introduced the quartic identity and noted the visibility bound, the present work provides a unified derivation linking: two-kernel internal geometry quartic energy circulation SU(2) spinorial periodicity ensemble phase averaging experimentally constrained internal velocity Together, these elements form a coherent internal-geometric explanation of electron interference phenomena. Keywords 0-Sphere modelelectron interferencetwo-kernel internal geometryquartic energy identitySU(2) spinorial structureintrinsic visibility boundZitterbewegungemergent internal dynamicsno additional mediators