Clifford Fibrations and Possible Kinematics

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

10.3842/SIGMA.2009.072

Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras and groups [Bacry H., Levy-Leblond J.-M., J. Math. Phys. 9 (1967), 1605-1614] and their contractions for 2-dimensional spacetimes. Our construction is different in that it is based on a generalized Clifford fibration: Following Penrose [Penrose R., Alfred A. Knopf, Inc., New York, 2005] we will call our fibration a Clifford fibration and not a Hopf fibration, as our fibration is a geometrical construction. The simple algebraic properties of the fibration describe the geometrical properties of the kinematical algebras and groups as well as the spacetimes that are derived from them. We develop an algebraic framework that handles all possible kinematic algebras save one, the static algebra.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Clifford Fibrations and Possible Kinematics 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 Clifford Fibrations and Possible Kinematics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Clifford Fibrations and Possible Kinematics will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-332179

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.