Electric Charge Complementarity Gauge Consistency, Global Admissibility, and a Closure-Theoretic Research Program

Electric Charge Complementarity The motivating observation is simple. Hydrogen is electrically neutral because a proton has charge and an electron has charge . Yet the proton contains up and down quarks, while the electron is not made of quarks. Nature has arranged two different particle sectors so that their observable charges match in magnitude to extraordinary precision. The question is not whether this is experimentally true within present bounds; it is which mathematical structure makes it possible, and what additional principle might make it necessary. The paper proceeds in three layers. First, familiar electroweak representation theory and local anomalies show how charge complementarity follows conditionally from quantum consistency. Second, global topology and neutrino-sector extensions reveal what consistency does not uniquely determine. Third, the UCCF/closure framework is presented as a candidate explanation of the prior admissibility conditions, with explicit success criteria and no claim that these criteria have already been met. Why should the proton, a composite state of three quarks, and the electron, an elementary lepton, possess equal-magnitude opposite electric charges? This paper develops the question as a problem of structural admissibility rather than an unexplained numerical coincidence. Within the conventional one-generation electroweak representation, cancellation of the mixed gauge anomaly implies two simultaneous charge-complementarity relations: and . With the minimal Standard Model fermion content, conventional Higgs normalization, and Yukawa-coupling assignments, cubic hypercharge anomaly cancellation then fixes the familiar fractional charges. The analysis carefully separates these established conditional results from the stronger claim that a unique physical charge spectrum follows in all extensions. A Dirac-neutrino extension permits a continuous anomaly-free deformation that preserves paired complementarity while allowing nonstandard neutron and neutrino charges. Global group topology, the Witten anomaly, and rank restrictions on proposed generator envelopes provide further boundary conditions. We finally propose an explicit UCCF/closure-theoretic research program: derive representation admissibility and charge-selection principles without inserting the observed charges into the premises. This Version 1 manuscript is a theoretical synthesis and falsifiability-oriented program, not a completed novel derivation or empirical discovery. Keywords: electric charge quantization; proton–electron equality; anomaly cancellation; hypercharge; neutrino millicharge; gauge-group topology; generator physics; closure admissibility; UCCF. Epistemic convention. “Established” refers to conventional results of gauge theory or verified experimental analyses; “derived here” refers to algebra following from stated conventional assumptions; “proposed” designates a UCCF interpretation or new research target. These categories are never interchanged.