Topological Attractor Selection and the Baryon-to-Electron Mass Ratio
Year: 2026
Type: article
Abstract: Dynamical Grounding: The close alignment between the proton-to-electron mass ratio and Friedrich Lenz's geometric relation is derived from non-equilibrium fluid dynamics rather than treated as a numerical coincidence. Attractor Selection via Dissipation: During turbulent vortex reconnections, singular fluid dynamics violates energy conservation, serving as an irreversible enstrophy sink that contracts the system's phase space onto stable, zero-dissipation topological attractors where further reconnections are forbidden. Rest Mass Principle: Physical rest mass is identified as the residual, non-dissipative circulation work permanently trapped on these terminal attractor basins. Electron Baseline: The electron emerges as an isolated, unknotted vortex loop with half-twist Möbius framing whose internal bending modes are frozen by elastic and circulation pressures, establishing a rigid, single-state reference capacity. Proton Five-Dimensional Geometry: The proton forms an inseparable Borromean link of three quantized flux tubes whose internal relative phase and core-twist degrees of freedom define a five-dimensional toroidal space, projected by spinor parity invariance into a reduced invariant phase volume. Permutation Multiplicity: Permuting the three constituent loops across three mutually orthogonal spatial embedding planes introduces a six-fold topological channel multiplicity, determining the bare mass ratio. Radiative Coulomb Screening: Calculating the second-order electromagnetic self-energy screening from the fractional charges of the constituent loops resolves the tiny remaining residual, matching recommended experimental measurements with zero free parameters.
Author: Aksman, Michael
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225574249