T. Scarr
Loops in Relativistic Dynamics

The Einstein velocity addition loop and the symmetric velocity addition loop are used to develop relativistic 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.

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