Jet Riemann-Hamilton geometrization for the conformal deformed Berwald-Moor quartic metric depending on momenta

TL;DR

This paper develops a Riemann-Hamilton geometric framework on dual jet spaces for a conformally deformed Berwald-Moor Hamiltonian metric of order four, incorporating gravitational and electromagnetic models.

Contribution

It introduces a novel geometric approach to analyze conformally deformed Berwald-Moor Hamiltonian metrics using Riemann-Hamilton geometry on dual jet spaces.

Findings

Established a d-Riemannian geometric structure on J^{1*}(R,M^4)

Derived gravitational-like and electromagnetic-like models from the geometry

Extended the geometric analysis to conformally deformed quartic Hamiltonian metrics

Abstract

In this paper we expose on the dual 1-jet space J^{1*}(R,M^4) the distinguished (d-) Riemannian geometry (in the sense of d-connection, d-torsions, d-curvatures and some gravitational-like and electromagnetic-like geometrical models) for the (t,x)-conformal deformed Berwald-Moor Hamiltonian metric of order four.