The Law of Geometric Sovereignty: A Unified Field Theory Framework

We propose a toy effective field theory in which vacuum excitations are organized by discrete scale invariance with a preferred scaling factor $\Phi \approx 1.618$. 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 ($\tau=0$) 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 $m_1 \simeq 202.4$ GeV and a stable Dark Matter candidate at $m_2 \simeq 327.5$ GeV, testable via heavy-scalar resonance searches or missing transverse energy (MET) channels using existing LHC datasets.