On the proper choice of a Lorentz-covariant relativistic Lagrangian
Alain J. Brizard
TL;DR
This paper discusses how selecting the correct sign for the Lorentz-covariant relativistic Lagrangian depends on the space-time metric used, ensuring accurate representation of particle dynamics in electromagnetic fields.
Contribution
It clarifies the proper sign choice for the Lorentz-covariant Lagrangian based on the space-time metric, improving the consistency of relativistic particle descriptions.
Findings
Proper sign choice depends on the space-time metric used.
Ensures consistent relativistic particle dynamics in electromagnetic fields.
Provides guidance for correct Lagrangian formulation.
Abstract
A proper choice for the sign of the Lorentz-covariant relativistic Lagrangian for a particle moving in an electromagnetic field is presented. This choice is based on which space-time metric is used in the representation of the relativistic particle dynamics.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Relativity and Gravitational Theory · Cosmology and Gravitation Theories