The claim that a finite number of states must repeat within an infinite amount of time is false. A system could have an infinite number of distinct physical configurations that never recur - even if there were exceedingly few things in a finite space in an infinite time, they would not necessarily have to repeat in the same configurations. Suppose there were three wheels of equal size, rotating on the same axis, one point marked on the circumference of each wheel, and these three points lined up in one straight line. If the second wheel rotated twice as fast as the first, and if the speed of the third wheel was 1/π of the speed of the first, the initial line-up would never recur. This has serious implications for Lore Theory, because it puts a strict limit on which patterns are possible in a Universe where time loops back around to where it started.
Posted on: Thu, 27 Nov 2014 06:11:46 +0000
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