Gyrations: The Missing Link Between Classical Mechanics with its
Underlying Euclidean Geometry and Relativistic Mechanics with its Underlying
Hyperbolic Geometry [PDF]
Abraham A. UngarBeing neither commutative nor associative, Einstein velocity addition of relativistically admissible velocities gives rise to gyrations. Gyrations, in turn, measure the extent to which Einstein addition deviates from commutativity and from associativity. Gyrations are geometric automorphisms abstracted from the relativistic mechanical effect known as Thomas precession.View original: http://arxiv.org/abs/1302.5678
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