A Unified Field Theory Framework: From Subatomic to Cosmological

We propose a self-consistent toy effective field theory ansatz in which vacuumexcitations are organized by discrete scale invariance with a preferred scaling factorΦ≈1.618. The Law of Geometric Sovereignty (LGS) model is defined by a masterLagrangian density for a scalar recovery potential coupled to a quantized torsionvariable, from which a fold-scaled Poisson equation and an emergent 1/r Green’sfunction follow naturally in the static limit. By treating mass as topological densityand charge as discrete torsional stress, the framework maps the known fermion andcomposite hadron spectrum onto a strict, period-doubling geometric lattice. Weintroduce a minimal stress-squared portal ansatz that allows electromagneticallyneutral (τ = 0) integer-fold excitations to couple to the Standard Model, derivingparametric scaling relations for their production rates at hadron colliders. Theframework makes rigid, falsifiable predictions of discrete neutral oscillon nodes nearm1 ≃202.4 GeV and a stable Dark Matter candidate at m2 ≃ 327.5 GeV.Extending from its deep-fold topological origins across the macroscopic spectrum, we demonstrate that the 1/n2 Rydberg series, multi-electron orbital filling,and molecular tessellation emerge strictly from continuous geometric constraintsand topological saturation. Scaling outward, the framework redefines thermodynamics as kinetic torsion, solid-state crystallography as native phase-locked geometries, and gravity as the macroscopic refractive gradient of topological density,ultimately proposing a closed, toroidal cosmology demonstrating perfect fractalholism.