Physics – Mathematical Physics
Scientific paper
2010-06-27
J. Math. Phys. 51, 063510 (2010)
Physics
Mathematical Physics
10 pages
Scientific paper
10.1063/1.3397456
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and algebras are performed not with the complex unit, but with the product of complex and hyperbolic unit. The modified complexification is the key ingredient for the theory. The Klein-Gordon equation is represented in this framework in the form of the first invariant of the Poincar\'e group, the mass operator, in order to emphasize its geometric origin. The possibility of new interactions arising from hyperbolic complex gauge transformations is discussed.
No associations
LandOfFree
Considerations on the hyperbolic complex Klein-Gordon equation 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 Considerations on the hyperbolic complex Klein-Gordon equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Considerations on the hyperbolic complex Klein-Gordon equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-630374