Jet Finslerian geometry of the conformal Minkowski metric

TL;DR

This paper develops a Finsler-like geometric framework on jet spaces for the conformal Minkowski metric, extending classical Minkowski geometry to include gravitational and electromagnetic models.

Contribution

It introduces a novel Finsler-like geometric structure on jet spaces for the conformal Minkowski metric, including connections, torsions, and curvatures, and discusses related physical models.

Findings

Defined nonlinear connection and Cartan linear connection for JCM metric

Derived d-torsions and d-curvatures in the jet Finslerian setting

Presented gravitational and electromagnetic models based on the JCM metric

Abstract

The paper develops the Finsler-like geometry on the 1-jet space for the jet conformal Minkowski (JCM) metric, which naturally extends the Minkowski metric in the Chernov-Pavlov framework. To this aim there are determined the nonlinear connection, distinguished (d-) Cartan linear connection, d-torsions and d-curvatures. The field geometrical gravitational and electromagnetic d-models based on the JCM metric are discussed.