A Unified Field Theory Framework: From Subatomic to Cosmological

We propose a self-consistent toy effective field theory ansatz in which vacuum
excitations are organized by discrete scale invariance with a preferred scaling factor
Φ≈1.618. The Law of Geometric Sovereignty (LGS) model is defined by a master
Lagrangian density for a scalar recovery potential coupled to a quantized torsion
variable, from which a fold-scaled Poisson equation and an emergent 1/r Green’s
function follow naturally in the static limit. By treating mass as topological density
and charge as discrete torsional stress, the framework maps the known fermion and
composite hadron spectrum onto a strict, period-doubling geometric lattice. We
introduce a minimal stress-squared portal ansatz that allows electromagnetically
neutral (τ = 0) integer-fold excitations to couple to the Standard Model, deriving
parametric scaling relations for their production rates at hadron colliders. The
framework makes rigid, falsifiable predictions of discrete neutral oscillon nodes near
m1 ≃202.4 GeV and a stable Dark Matter candidate at m2 ≃ 327.5 GeV.
Extending from its deep-fold topological origins across the macroscopic spec
trum, we demonstrate that the 1/n2 Rydberg series, multi-electron orbital filling,
and molecular tessellation emerge strictly from continuous geometric constraints
and topological saturation. Scaling outward, the framework redefines thermody
namics as kinetic torsion, solid-state crystallography as native phase-locked ge
ometries, and gravity as the macroscopic refractive gradient of topological density,
ultimately proposing a closed, toroidal cosmology demonstrating perfect fractal
holism.