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This work aims to derive the fine-structure constant from first principles using the Vortex Framework.

February 16, 20260 citationsOpen Access

The Vortex Framework Part VIII: First principle derivations of the fine structure constant

Key Points

This work aims to derive the fine-structure constant from first principles using the Vortex Framework.
Derived fine-structure constant within the Vortex Framework model
Modeled a quantum substrate as a 3D lattice of toroidal vortex rings
Incorporated lattice geometry, vortex interlinking, and substrate stiffness into the model
Successfully computed the fine-structure constant, α ≈ 1/137
Demonstrated how electromagnetic constants emerge from a vortex substrate
Provided a unified approach to understand fundamental constants through topological constraints

Abstract

This work presents a first-principles derivation of the fine-structure constant, α, within the Vortex Framework (VF), a model in which fundamental physical constantsand interactions emerge from a three-seed quantum substrate1, 2: the speed of light c, Planck’s constant ℏ, and the vacuum density ρ0. By modeling the quantum sub-strate as a 3D lattice of toroidal vortex rings with quantized circulation, we compute effective packing fractions and coarse-grained interactions that naturally produce thedimensionless electromagnetic coupling. The derivation incorporates lattice geometry, interlinking of vortex rings, IR coarse-graining, and substrate stiffness to reconcile naive continuum estimates with the observed value α ≈ 1/137. This framework demonstrates how electromagnetic and gravitational constants can emerge from topological and energetic constraints of a minimal vortex-based substrate, providing a unified, predictive approach to fundamental constants.

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