The Super-Electron: Admissible Identity, Bounded Transitions, and the Geometry of Physical Continuation

This manuscript presents a foundational reformulation of particle identity in modern physics by introducing the Super-Electron: a unique fermionic identity class defined not by dynamics, trajectories, or multiplicity, but by admissible continuation under constraint. Rather than proposing new particles, forces, or speculative ontologies, the work inverts the standard explanatory order of physics. It demonstrates that physical existence itself is governed by constraint satisfaction, and that dynamics, spacetime structure, and observable behavior emerge only after non-admissible transitions are excluded. Within this inverted framework, the electron is shown to be the sole charged fermionic identity that remains invariant across all known quantum, relativistic, and topological consistency conditions. The paper synthesizes results across: quantum field theory (renormalizability, gauge closure, anomaly cancellation), general relativity (horizons, photon spheres, geometric memory), string theory (modular invariance, BRST closure, spectral admissibility), and atomic, nuclear, and gravitational phenomenology. Key results include: a formal distinction between identity classes and particle instances, a theorem-level argument that consistency across stacked constraints implies uniqueness of fermionic identity, a reinterpretation of black hole horizons and photon spheres as marginal admissibility boundaries, rather than sites of information loss, and a reconciliation of the Wheeler–Feynman “one-electron universe” intuition without invoking time loops or retrocausality. The Super-Electron framework is explicitly compatible with GR and QFT and does not modify their equations. Instead, it explains why those equations admit only one stable charged fermionic identity. Geometry is treated as a record of excluded transitions (“geometric memory”), and collapse is redefined as the exhaustion of admissible continuation rather than physical destruction. A universal dimensionless continuation invariant is identified and shown to recur across physical, biological, computational, and acoustic systems, supporting the claim that admissibility, not dynamics, is the common substrate of persistence. The manuscript makes explicit, falsifiable predictions, including: environment-dependent modulation of decay and capture processes tied to electron identity normalization, spectral structure near photon spheres governed by admissibility thinning rather than energetic instability, and the impossibility of multiple stable charged fermionic identity classes in any consistent quantum–relativistic substrate. This work is intended as a foundational contribution to theoretical physics. It reframes long-standing puzzles; particle indistinguishability, black hole information, and string-theoretic consistency, not as disconnected problems, but as consequences of a single admissibility principle governing what can persist as the same thing across scale, interaction, and curvature. No claims are made beyond what follows from constraint-based reasoning and existing empirical structure. The framework is conservative in ontology, aggressive in interpretation, and designed to be extendable, testable, and formally precise. Keywords by Domain Foundations of Physics admissible existence physical admissibility structural invariants identity in physics persistence under constraint non-dynamical foundations constraint-first physics foundational consistency Quantum Field Theory quantum field theory fermionic identity electron identity renormalizability gauge invariance unitarity anomaly cancellation particle indistinguishability spectral stability running couplings General Relativity & Gravitation general relativity spacetime geometry black hole horizons photon spheres gravitational constraints spacetime continuation geometric memory information preservation String Theory & Mathematical Physics string theory modular invariance BRST symmetry anomaly cancellation theoretical consistency admissible spectra constrained vacua mathematical physics worldsheet consistency High-Energy & Particle Physics elementary particles charge universality fermionic representations identity classes particle stability fundamental interactions consistency conditions Geometry & Structural Physics constraint geometry boundary conditions admissible transitions configuration space transition space projection operators structural memory geometric constraints Information & Physical Invariants information preservation dimensionless invariants τ invariant recurrence persistence structural diagnostics universality across scales scale invariance Complex Systems & Biophysics modular invariance structural stability persistence in biological systems constraint-governed dynamics recurrence under constraint admissible structure Computation & Substrate Theory admissible computation constraint-based computation survivable substrates bounded transitions physical limits of computation consistency of substrates Cognition & Continuity identity persistence continuity of self structural conditions for cognition admissible continuation constraint-based cognition Minimal Physics-Only Keyword Set electron identity admissible continuation quantum field theory foundations general relativity string theory consistency anomaly cancellation photon spheres black hole information structural invariants