Generalized Gravi-Electromagnetism
P. S. Bisht, Gaurav Karnatak, O. P. S. Negi
TL;DR
This paper develops a covariant quaternionic theory describing the dynamics of four types of charges—electric, magnetic, gravitational, and Heavisidian—unifying their interactions in a consistent framework.
Contribution
It introduces a novel invariant Lagrangian and quaternionic formulation that generalizes existing theories to include four charges simultaneously.
Findings
Reproduces known dynamics of individual charges
Generalizes the theory to gravito-dyons and dyons
Provides a consistent covariant framework
Abstract
A self consistant and manifestly covariant theory for the dynamics of four charges (masses) (namely electric, magnetic, gravitational, Heavisidian) has been developed in simple, compact and consistent manner. Starting with an invariant Lagrangian density and its quaternionic representation, we have obtained the consistent field equation for the dynamics of four charges. It has been shown that the present reformulation reproduces the dynamics of individual charges (masses) in the absence of other charge (masses) as well as the generalized theory of dyons (gravito - dyons) in the absence gravito - dyons (dyons). key words: dyons, gravito - dyons, quaternion PACS NO: 14.80Hv
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