We present a comprehensive geometric unification framework—Expansion, Compaction, and Torsion (ECT)—which provides a unified description of all fundamental forces, including gravity, electromagnetism, the weak, and strong interactions. This model is built upon the geometric structure of torsion shells, where spacetime is represented as a series of expanding wavefronts that naturally compact into localized matter wells. These compaction regions are bridged by torsion fields, which serve as the geometric source of gauge interactions. Our findings include: • Unified Gauge Forces: Electromagnetic, weak, and strong forces are derived directlyfrom torsion geometry. Electromagnetic fields emerge from projected torsion, while theweak force is modeled as chiral torsion, and the strong force arises from torsion triplets.These interactions are detailed in Section 28 • Multi-Coupling Renormalizability: We establish a multi-coupling beta functionmatrix covering torsion, gauge, scalar, and gravitational couplings. This structureis shown to be renormalizable through geometric scaling, absorbing all divergenceswithout introducing arbitrary counterterms, as described in Section 14 • Topological Regularization via BF Theory: The ECT model achieves ultraviolet(UV) completeness through a BF topological field embedding. This ensures finiteinteractions at all energy scales while preserving gauge invariance, as explained inSection 16 • Neutrino Oscillation and Decay Prediction: Neutrinos are modeled as torsion-silent shells, whose oscillation behavior arises from geometric phase coherence betweentorsion shells. The model accurately predicts particle stability thresholds and decayrates for electrons, muons, and tau leptons, as demonstrated in Section 75 • Mass Derivation for Nucleons: The masses of protons and neutrons are derivedusing torsion shell geometry, aligning with experimental values. The strong nuclearforce is shown to be a gradient of torsion-induced matter wells, as outlined in Section68• E6 Symmetry and Force Unification: We demonstrate that all known forcesemerge as torsion-wrapped interactions within an E6 geometric field, providing a di-rect pathway to force unification without requiring additional particles or symmetrybreaking, as discussed in Sections 73—74 This work establishes the Expansion–Compaction–Torsion (ECT) model as a fully renormalizable, geometrically consistent, and predictive framework for understanding the fundamental nature of the universe.
Hutchins et al. (Wed,) studied this question.