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Loops in Relativistic Dynamics
Authors: T. Scarr
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Abstract
The Einstein velocity addition loop and the symmetric velocity addition loop are used to develop relavistic dynamic equations. Since these loops are highly non-commutative, the question arises whether one should use the left or the right translations of these loops. We show that while the left translations are well-suited to relativistic dynamics, the right translations are problematic. We hypothesize that using the left translations is equivalent to a generalized form of the Equivalence Principle.T. Scarr
Jerusalem College of Technology
Departament of Mathematics
Jerusalem 91160
Israel
E-mail:
Jerusalem College of Technology
Departament of Mathematics
Jerusalem 91160
Israel
E-mail:
Fulltext
– 0.50 Mb
Contents
- Loop algebras of loops whose derived subloop is central
- Subassociative groupoids
- The construction of loops using right division and Ward quasigroups
- Geometric Means and Reflection Quasigroups
- Ranks of nets
- A short basis for the variety of WIP PACC-loops
- Duality for central piques
- Loops in Relativistic Dynamics
- Evolution algebras
