Is the Standard Model overfitting or am I curve-fitting?

albert_roca · Dec 26, 2025

I am developing a geometric model of physical interactions based on geometric constraints (w = 2, δ = √5 ) and topological invariants. No free parameters, just geometry. In your opinion, is this a legitimate geometric unification or just sophisticated curve-fitting?
Results:
Proton radius (r_p): Modeled as a tetrahedral structural limit (4 · ƛ) with spherical field projection loss (α / 4 · π).

Code:

  r_p  = 4 · ƛ_p · (1 - (α / (4 · π)))
  Pred: 8.407470 × 10^-16 m
  Exp:  8.4075(64) × 10^-16 m
  Diff: 3 ppm

Proton magnetic moment (g_p): Derived from the dynamic potential (δ = √5 ) damped by a golden friction term (α / Φ).

Code:

  g_p = (δ^3 / w) - (α / Φ)
  Pred: 5.5856599
  Exp:  5.5856947
  Diff: 6 ppm

Muon anomaly (a_μ): Derived as a hierarchical resolution of the icosahedral geometry: surface (α / 2 · π) + nodes (α^2 / 12) + vertex symmetry (α^3 / 5).

Code:

  a_μ = (α / (2 · π)) + (α^2 / 12) + (α^3 / 5)
  Pred: 0.00116592506
  Exp:  0.00116592059
  Diff: 4 ppm

α particle radius (r_α): Modeled as a 4-nucleon tetrahedron (8 · ƛ) with a linear nucleonic projection cost (α / π).

Code:

  r_α = 8 · ƛ_p · (1 - (α / π))
  Pred: 1.67856 × 10^-15 m
  Exp:  1.678 × 10^-15 m
  Diff: 330 ppm

Proton mass (m_p): Connecting the Planck scale to proton scale via a 64-bit metric horizon (2^64) and diagonal transmission (√2 ).

Code:

  m_p = ((√2 · m_P) / 2^64) · (1 + α / 3)
  Pred: 1.67260849206 × 10^-27 kg
  Exp:  1.67262192595(52) × 10^-27 kg
  Diff: 8 ppm

Neutron-proton mass difference (∆_m): Modeled as potential energy stored in the geometric compression of the electron (icosahedron, 20 faces) into the protonic frame (cube, 8 vertices). Compression ratio = 20/8 = 5/2.

Code:

  ∆_m = m_e · ((5/2) + 4 · α + (α / 4))
  Pred: 1.293345 MeV
  Exp:  1.293332 MeV.
  Diff: 10 ppm.

Gravitational constant (G) without G: Derived from quantum constants and the proton mass, identifying G as a scaling artifact of the 128-bit hierarchy (2^128).

Code:

  G = (ħ · c · 2 · (1 + α / 3)^2) / (m_p^2 · 2^128)
  Pred: 6.6742439706 × 10^-11
  Exp:  6.67430(15) × 10^-11 m^3 · kg^-1 · s^-2
  Diff: 8 ppm

Fine-structure constant (α): Derived as the static spatial cost plus a spinor loop correction.

Code:

  α^-1 = (4 · π^3 + π^2 + π) - (α / 24)
  Pred: 137.0359996
  Exp:  137.0359991
  Diff: < 0.005 ppm

Preprint: Geometric Unification of Physical Interactions

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Is the Standard Model overfitting or am I curve-fitting?

albert_roca