Published December 20, 2025 | Version v1

Atomic Structure from Geometric First Principles: The 23-Channel Structured Vacuum Theory

Description

This work presents a complete geometric theory of atomic structure derived from first principles. The 23-Channel Structured Vacuum (TVS) theory eliminates the concept of fundamental particles, replacing them with topological excitations of a structured vacuum with 23 helical channels. We derive the masses of the electron, proton, and neutron without adjustable parameters:

  • Electron mass: me=MP⋅136/2318me=MP⋅136/2318

  • Proton-to-electron mass ratio: mp/me=136×27/2=1836mp/me=136×27/2=1836

  • Neutron-to-proton mass ratio: mn/mp=1+1/(232⋅1.36)mn/mp=1+1/(232⋅1.36)

  • Fine-structure constant: α−1=137+19/232+1/233α−1=137+19/232+1/233

The theory provides geometric explanations for:

  1. Proton stability as topological protection (Borromean braid)

  2. Anomalous magnetic moment as vacuum frame-dragging

  3. Weak interaction as topological re-braiding probability

  4. Nuclear binding as braid entanglement

A falsifiable prediction is made: a sidereal-modulated azimuthal asymmetry in e+e−→γγe+e−→γγ with amplitude ∼6.4×10−4∼6.4×10−4, testable at current and future colliders.

This work represents a paradigm shift from particle-based to geometry-based fundamental physics, offering deterministic derivations where the Standard Model requires adjustable parameters.

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The Need for a Geometric Foundation.pdf

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