Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle

Details Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle

1996-08-22

arxiv.org/abs/gr-qc/9608052v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, latex, no figures, Summary of talk to appear in: Proceedings of the 4th Conference on Clifford Algebras and their Ap

Scientific paper

The automorphism invariant theory of Crawford[J. Math. Phys. 35, 2701 (1994)] has show great promise, however its application is limited by the paradigm to the domain of spin space. Our conjecture is that there is a broader principle at work which applies even to classical physics. Specifically, the laws of physics should be invariant under polydimensional transformations which reshuffle the geometry (e.g. exchanges vectors for trivectors) but preserves the algebra. To complete the symmetry, it follows that the laws of physics must be themselves polydimensional, having scalar, vector, bivector etc. parts in one multivector equation. Clifford algebra is the natural language in which to formulate this principle, as vectors/tensors were for relativity. This allows for a new treatment of the relativistic spinning particle (the Papapetrou equations) which is problematic in standard theory. In curved space the rank of the geometry will change under parallel transport, yielding a new basis for Weyl's connection and a natural coupling between linear and spinning motion.

Affiliated with

Also associated with

No associations

Rating

Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162070