Projective geometry and special relativity

Details Projective geometry and special relativity Projective geometry and special relativity

2005-12-22

arxiv.org/abs/gr-qc/0512125v1

Annalen Phys. 15 (2006) 216-246

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages, 4 figures. Annalen der Physik (Leipzig) (2006), to be published

Scientific paper

10.1002/andp.200510179

Some concepts of real and complex projective geometry are applied to the fundamental physical notions that relate to Minkowski space and the Lorentz group. In particular, it is shown that the transition from an infinite speed of propagation for light waves to a finite one entails the replacement of a hyperplane at infinity with a light cone and the replacement of an affine hyperplane - or rest space - with a proper time hyperboloid. The transition from the metric theory of electromagnetism to the pre-metric theory is discussed in the context of complex projective geometry, and ultimately it is proposed that the geometrical issues are more general than electromagnetism, namely, they pertain to the transition from point mechanics to wave mechanics.

Affiliated with

Also associated with

No associations

Rating

Projective geometry and special relativity 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 Projective geometry and special relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projective geometry and special relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-726199