On the Role of Einstein-Cartan Gravity in Fundamental Particle Physics

TL;DR

This paper explores how Einstein-Cartan gravity, through the Hehl-Datta equation, may explain the low mass of elementary fermions and the energy balance near the Planck scale, offering a new perspective in particle physics.

Contribution

It introduces a novel mechanism from ECSK gravity that potentially explains fermion mass and energy balance at the Planck scale.

Findings

Gravity-induced self-interaction can account for low fermion masses.

Mechanism addresses divergence of electrostatic and strong force energies.

Numerical estimates support the proposed explanation.

Abstract

Two of the major open questions in particle physics are: (1) Why are the elementary fermionic particles that are so far observed have such low mass-energy compared to the Planck energy scale? And (2), what mechanical energy may be counterbalancing the divergent electrostatic and strong force energies of point-like charged fermions in the vicinity of the Planck scale? In this paper, using a hitherto unrecognized mechanism derived from the non-linear amelioration of Dirac equation known as the Hehl-Datta equation within Einstein-Cartan-Sciama-Kibble (ECSK) extension of general relativity, we present detailed numerical estimates suggesting that the mechanical energy arising from the gravity-induced self-interaction in the ECSK theory can address both of these questions in tandem.