The Weak Interaction within the Framework of the Density-Time Metric: Radioactivity as a Topological Tunneling Process and Geometric Relaxation

Abstract. This paper investigates the weak interaction within the framework of the Density-Time Metric (IMZD). It proposes that the Fermi constant GF is not an axiomatic fundamental constant of nature , but an effective material property—specifically the inverse elastic stiffness—of a potential barrier within the scalar density-time field N. Radioactivity is interpreted as a non-perturbative relaxation process of local spacetime geometry. The stability of baryons is modeled using an asymmetric tilted double-well potential Veff(N)=4λ(N2−v2)2+ϵ⋅N. The transition from neutron to proton occurs via quantum mechanical tunneling through this geometric barrier. The observed chiral asymmetry of the weak interaction is traced back to global cosmological expansion and the resulting negative time derivative of the metric N˙<0. Parity violation thus emerges as a microscopic manifestation of the global cosmological arrow of time. The neutrino is described as a coupled wave packet of metric perturbations consisting of a longitudinal density fluctuation and a transverse torsion wave of the shift vector δβi. Utilizing the Finkelstein-Misner kink formalism , the half-integer spin of the neutrino is derived from the topological quantization of spacetime. Neutrino flavor oscillations are explained as metric birefringence. This results from minimal anisotropies in the metric stiffness of the vacuum, causing different geometric resistances for the spatial twist modes. The theory identifies neutrinos as pure Dirac fermions. Consequently, it strictly forbids neutrinoless double beta decay 0νββ. An experimental detection of such a process would violate the topological conservation laws of this model and directly falsify the geometric nature of the weak interaction.