Anisotropy, inhomogeneity, and conservation laws

Physics

Scientific paper

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Special Relativity

Scientific paper

We consider two versions of Minkowski space, each of which is connected in a nontrivial way. In the first version, which corresponds physically to a static universe with one spatial dimension finite, we introduce a variation of the twin paradox in which neither twin undergoes any acceleration. The resolution of the paradox is shown to derive from the (global) anisotropy of this version of space-time. Furthermore, the (global) anisotropy is shown to imply the existence of a set of preferred inertial frames and the possibility of nonconservation of angular momentum in the absence of any torque. In the second version, which corresponds physically to a universe with one spatial dimension finite but expanding in time, we show that the (global) inhomogeneity of this version of space-time can cause nonconservation of energy and momentum in the absence of any force.

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