From weak interaction to gravity

TL;DR

This paper explores a novel connection between weak interactions and gravity by modeling gravity as an effective interaction mediated by neutral spinorial fields, leading to new black-hole solutions.

Contribution

It proposes a model where gravity emerges from interactions of G-neutrinos with matter, unifying weak interaction concepts with gravitational phenomena.

Findings

Effective geometry matches Schwarzschild metric without self-interaction.

Self-interacting G-neutrinos produce new black-hole solutions.

The model offers a unified perspective linking weak forces and gravity.

Abstract

We follow an old suggestion made by Stueckelberg that there exists an intimate connection between weak interaction and gravity, symbolized by the relationship between the Fermi and Newton\rq s constants. We analyze the hypothesis that the effect of matter upon the metric that represents gravitational interaction in General Relativity is an effective one. This leads us to consider gravitation to be the result of the interaction of two neutral spinorial fields (G-neutrinos) $ \Psi_{g}$ and $ \Omega_{g}$ with all kinds of matter and energy. We present three examples with only one G-neutrino: two static and spherically symmetric configurations and a cosmological framework for an isotropic dynamical universe. Without self-interaction, the associated effective geometry is precisely the Schwarzschild metric. On the other hand, a self-interacting G-neutrino generates a new gravitational black-hole.