Authors: Moninder Singh Modgil
First law of motion operative in a time periodic universe with $S^1$ time is formulated. The inertial paths of the particles are defined as circles, with radius $R= T \left|\textbf{v} \right| /(2 \pi)$, where $T$ is the time period of the universe, and $\textbf{v}$ is the velocity of the particle. This law reduces to the Newton's first law of motion in the limit $T \rightarrow \infty$, when the radii $R \rightarrow \infty$, and so the circles open out and become indisthinguighable from the straight line trajectories of the Newtonian universe.
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[v1] 2014-01-03 03:39:54
[v2] 2014-01-03 06:54:44
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