Macroscopic Quantum Tunneling as a Topological Transition in the Primordial Mass-Time Torsional Potential: A G-MaTT Derivation

Abstract We present a first-principles derivation of macroscopic quantum tunneling (MQT) within the Generalized Mass as Twisted Time (G-MaTT) framework, providing a causal, geometric mechanism and a rigorous condition for its occurrence. In G-MaTT, mass is not a property of matter but arises from the primordial mass-time torsional potential \(\mathcal{M}_\mu\), defined over a pre-geometric space \(\chi\) with no prior spacetime. A superconductor is a synchronized network of \(\mathcal{M}_\mu\)-branches; Cooper pairs are phase-locked torsional excitations in the emergent mass torsional field \(\hat{M}_\mu\), not fundamental bosons. MQT arises not as probabilistic wave leakage, but as a deterministic topological reconfiguration triggered by the Twist–UnTwist (TUT) mechanism when the torsional action across a barrier falls below a critical threshold.\[\Delta \mathcal{S}_T = \int_{\text{barrier}} |\nabla_\chi \times \mathcal{M}| \, d\chi < \kappa = \frac{\hbar c}{G} |\phi_k + \phi_l|^2.\] This predicts an abrupt suppression of MQT when the barrier exceeds \(\kappa\)—a sharp deviation from standard instanton theory. The effect is testable in SQUIDs via flux tuning. This work transforms MQT into a probe of mass-time torsion topology, grounded in G-MaTT’s pre-geometric ontology.