The Zimmerman Framework
A unified geometric theory deriving fundamental constants from a single equation
Abstract
This framework proposes that all fundamental physical constants emerge from a single geometric relationship: the coupling between cubic and spherical symmetries in compactified extra dimensions. The characteristic constant Z = 5.7888... derives from the Atiyah-Patodi-Singer eta invariant on a T³/Z₂ orbifold.
From this single constant, we derive 19 independent predictions including the fine structure constant, proton-to-electron mass ratio, Weinberg angle, cosmological density parameters, and CKM matrix elements, with an average error of 0.57% against experimental values.
The product of cubic symmetry (8 fixed points of T³/Z₂) and spherical measure (4π/3) yields all coupling constants, mass hierarchies, and cosmological parameters.
Recent Results
NGC-SGC correlation r = 0.9986 from 2.1M galaxies confirms globally coherent parity violation consistent with T³/Z₂ topology. Universe size: 20.6 Gpc orbifold.
View analysisNew derivations include: Ω_m/Ω_Λ = 6/13 (linking dark sector to electroweak), m_p/m_e = α⁻¹ × 2Z²/5 (0.042% error), M_Pl/v = 2Z^(43/2) (0.3% error).
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