Composition of velocities and momentum transformations in a scator-deformed Lorentz metric

摘要: The transformations of coordinates, velocities and momenta between inertial frames are described via real scator algebra. This algebra imposes a hyperbolic metric that is identical to the Lorentz in $$1+1$$ dimensions but becomes deformed higher dimensions. Differences transverse quantities arise due this departure two three spatial structure admits arbitrarily close c orthogonal directions, nonetheless, velocity magnitude always subluminal. transformation by an isometric product mapping. operation satisfies commutative group properties restricted subspace. Due these properties, sequence boosts can be synthesized as single boost without involving rotation. A consequence algebraic composition does not produce Thomas scenarios where could play relevant role have been yet assessed.