Lorenz transformations for one biquaternion model of electro-gravymagnetic field. Conservation laws

TL;DR

This paper develops a biquaternion model for electro-gravymagnetic fields, explores Lorenz invariance, and proposes modified Maxwell's equations incorporating a scalar resistance field, revealing new conservation law insights.

Contribution

It introduces a novel biquaternion framework for EGM-fields, modifies Maxwell's equations with a resistance scalar, and analyzes Lorenz invariance and conservation laws in this context.

Findings

Lorenz invariance of the EGM-field equations is established.

A modified Maxwell's equations with a scalar resistance field is proposed.

New relativistic formulas for charge, mass, and force transformations are derived.

Abstract

The biquaternion approach is developed for building of the equations of the inter-action of different charges and currents and generated Electro-GravyMagnetic fields. The field analogues of three Newton's laws are offered free and interacting charge-currents, as well as total field of interaction. An invariance of the equations for one EGM-field model at Lorenz transformation is investigated, and, in particu-lar, law of the conservation of the charge-current. It is shown that at interaction by fields, this law differs from the well-known one. So for closing the equation of charge-currents transformations the new modification of Maxwell's equations is offered with entering the scalar field of resistance in the biquaternion of EGM-field tension. Relativistic formula for transformation of density of the masses and charge, current, forces and their powers are built.