Topological Vortex Solutions in a Quasicrystalline Background: Integer Angular Momentum and Effective Topological Charge

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Authors: Marcel Krüger
Cited by: 0

Abstract

In the Standard Model, spin, electric charge, the magnetic dipole moment, and quantum entanglement are intrinsic point-like properties with no structural origin. We propose a unified geometric mechanism in which all four arise from quantized topological vortices of a scalar field embedded in a 6D→3D quasicrystalline vacuum— the central element of the Helix–Light–Vortex (HLV) framework. The vortex winding number explains spin quantization; directed information flux through the vortex core yields electric charge; geometric alignment relative to the quasicrystal basis fixes the magnetic dipole; and phase-locking of vortex orientations induces entanglement. This approach replaces intrinsic particle attributes by emergent geometric features of a discrete quasicrystal vacuum with spiral-time dynamics. We provide explicit field equations, topological quantization conditions, and two predictions for precision experiments: a small correction to the muon (g −2) anomaly and orientation-dependent entanglement phase shifts.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Quasicrystal Structures and Properties Particle physics theoretical and experimental studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
5 February 2026
Document type
Preprint