Geometric derivation of the muon g-2 anomaly (63 ppm discrepancy)

1 pointsby albert_rocahace 7 meses3 comments

The Standard Model calculation of g-2 requires thousands of Feynman diagrams. This geometric model derives it from the topology of the lepton (icosahedron, 12 vertices). It posits the muon anomaly is the sum of the surface cost (Schwinger term) and the nodal friction against the 12 vertices:

  α = 0.00729735256
  N_v = 12

  Schwinger_term = α / (2 · π)
  Nodal_term = α^2 / 12 

  a_mu = Schwinger_term + Nodal_term

  Schwinger_term = α / (2 · π) ≈ 0.001161409
  Nodal_term = α^2 / 12 ≈ 0.000004438
  Total ≈ 0.001165847

  Experimental value: 0.001165920
  Discrepancy: 63 ppm

Source: Geometric Unification of Physical Interactions, v10. https://doi.org/10.5281/zenodo.17847770

3 comments

gus_massahace 7 meses

From https://en.wikipedia.org/wiki/Muon_g-2

> aμ = 0.001165920705(114)

The measurement is extremely precise, and your value is outside the range.

AnimalMuppethace 7 meses

What is the basis for claiming that the topology of the lepton is an icosahedron?

albert_rocahace 7 meses

In the context of the model, the icosahedron is the unique Platonic solid generated by the dynamic constant δ = √5 (golden ratio geometry). It represents the topology that maximizes spherical approximation and volumetric efficiency in a discrete space. The vertex count (12) is derived from structural constants: N_v = w · (1 + δ^2) = 2 · (1 + 5) = 12.