The Propagating Bosonic Wave as an Effective Mass Reducer

We propose a non-perturbative theoretical framework introducing a reduced scalar boson field
ϕ that couples to matter fields to dynamically reduce their effective mass, thereby facilitating the
penetration of the Coulomb barrier in sub-Coulombian regimes. The model defines a non-local
gauge space that modifies the Klein-Gordon propagator through an infinite series of higher-order
derivatives anchored to the ground state. The variational derivation yields the exact equations
of motion for the alpha particle, the electron, and the mediating field. Furthermore, Feynman
diagrams demonstrate that the boson’s self-interaction is strictly required to stabilize the coherence
bridge against dissipation. The framework is phenomenologically closed by a generalized Schr¨odinger
equation wherein the localized mass reconfiguration compresses the Gamow integral, predicting
enhanced low-temperature tunneling within condensed matter lattices.