Is there an inertia due to the supersymmetry

TL;DR

This paper explores how supersymmetry and space-time deformations influence inertia, proposing a new framework that extends Lorentz symmetry and addresses inertia effects beyond traditional local hypotheses.

Contribution

It introduces a novel approach linking supersymmetry, space-time deformation, and inertia, extending Lorentz symmetry and providing a geometric basis for inertia effects.

Findings

Inertia effects originate from space-time deformation of master space.

The framework extends Lorentz symmetry to include new physics.

Justifies the weak principle of equivalence in a supersymmetric context.

Abstract

We derive a standard Lorentz code (SLC) of motion by exploring rigid double transformations of, so-called, 'master space-induced' supersymmetry (MS-SUSY), subject to certain rules. The renormalizable and actually finite flat-space field theories with $N_{max}=4$ supersymmetries in four dimensions, if only such symmetries are fundamental to nature, yield the possible 'extension of Lorentz code' (ELC), at which the SLC violating new physics appears. In the framework of local MS-SUSY, we address the inertial effects. We argue that a space-time deformation of MS is the origin of inertia effects that can be observed by us. We go beyond the hypothesis of locality. This allows to improve the relevant geometrical structures referred to the noninertial frame in Minkowski space for an arbitrary velocities and characteristic acceleration lengths. This framework furnishes justification for the introduction of the 'weak' principle of equivalence, i.e., the 'universality of free fall'. The implications of the inertia effects in the more general post-Riemannian geometry are briefly discussed.