Emergent Gauge Structures and Charges from Topological Torsion of a Coercive Vacuum Field.
Abstract
We show how conserved charges and gauge-like structures can emerge as structural consequences of topological torsion in a coercive vacuum field, within the TUO--NS operator-theoretic framework. Building on previous results establishing the existence of stable localized excitations carrying an intrinsic field unit $\mathcal{B}$, we introduce an internal $S^1$-valued degree of freedom $\theta$ describing torsional configurations of admissible vacuum states. We demonstrate that finite-energy localized configurations admit an integer winding invariant Q = (1/2π) ∮_C ∇θ · dℓ ∈ ℤ, which is conserved under any continuous admissible evolution preserving localization. Charge quantization thus arises as a topological admissibility condition, without invoking canonical quantization, particle postulates, or gauge axioms. We further show that local phase reparametrizations $\theta \mapsto \theta + \chi$ represent a redundancy in the description of physically equivalent torsional states, enforcing the introduction of an effective connection $A_\mu$ as a bookkeeping device for torsional transport. In the weak-torsion, long-wavelength regime, this structure admits a Maxwell-like effective description governing transverse torsional disturbances and their interaction with conserved charges. Overall, gauge redundancy and charge quantization are identified as emergent, structural features of vacuum elasticity and topological stability, within a conditional and falsifiable framework tied to the empirical validity of the reconstructed vacuum operator.
Fields of Study & Subjects
Quantum and Classical Electrodynamics
Relativity and Gravitational Theory
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 12 January 2026
- Document type
- Preprint