A signature invariant geometric algebra framework for spacetime physics and its applications in relativistic dynamics of a massive particle and gyroscopic precession.

ABSTRACT: A signature invariant geometric algebra framework for spacetime physics is formulated. By following the original idea of David Hestenes in the spacetime algebra of signature [Formula: see text], the techniques related to relative vector and spacetime split are built up in the spacetime algebra of signature [Formula: see text]. The even subalgebras of the spacetime algebras of signatures [Formula: see text] share the same operation rules, so that they could be treated as one algebraic formalism, in which spacetime physics is described in a signature invariant form. Based on the two spacetime algebras and their "common" even subalgebra, rotor techniques on Lorentz transformation and relativistic dynamics of a massive particle in curved spacetime are constructed. A signature invariant treatme

SUBMITTER: Wu B 

PROVIDER: S-EPMC8901677 | biostudies-literature | 2022 Mar

REPOSITORIES: biostudies-literature