Is large-scale “time reversal” (Poincaré recurrence) possible given infinite time?
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The following are some assumptions I'm basing my question on, from what (little) I understand of physics. I list them so an expert can (kindly) tell me where I'm going wrong.
There is a probability assigned to every possible sequence of events.
Besides sequences that violate the "rules", every sequence seems to have a nonzero probability.
This applies to large scale systems as well, except the odds usually seem to tend toward nearly 100% in favor of certain sequences (i.e., paths of highest entropy).
There is therefore a probability assigned to the following sequence of events: a system (large or small scale) reversing everything it's done since a certain point in time (Poincaré recurrence), and ending up back "almost" where it started; perhaps not an exact copy.
The universe appears to be expanding, and for all we know will do so forever, possibly leading to the heat death of the universe.
There is a probability assigned to every possible sequence of events.
Besides sequences that violate the "rules", every sequence seems to have a nonzero probability.
This applies to large scale systems as well, except the odds usually seem to tend toward nearly 100% in favor of certain sequences (i.e., paths of highest entropy).
There is therefore a probability assigned to the following sequence of events: a system (large or small scale) reversing everything it's done since a certain point in time (Poincaré recurrence), and ending up back "almost" where it started; perhaps not an exact copy.
The universe appears to be expanding, and for all we know will do so forever, possibly leading to the heat death of the universe.
Answered by
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A probability is there to assigned to every possible sequence of events.
Besides sequences that violate the "rules", every sequence seems to have a nonzero probability.
Therefore applies to large scale systems as well, except the odds usually seem to tend toward nearly 100% in favor of certain sequences (i.e., paths of highest entropy).
A probability assigned to the following sequence of events: a system (large or small scale) reversing everything it's done since a certain point in time (Poincaré recurrence), and ending up back "almost" where it started; perhaps not an exact copy.
Universe appears to be expanding, and for all we know will do so forever, possibly leading to the heat death of the universe.
Besides sequences that violate the "rules", every sequence seems to have a nonzero probability.
Therefore applies to large scale systems as well, except the odds usually seem to tend toward nearly 100% in favor of certain sequences (i.e., paths of highest entropy).
A probability assigned to the following sequence of events: a system (large or small scale) reversing everything it's done since a certain point in time (Poincaré recurrence), and ending up back "almost" where it started; perhaps not an exact copy.
Universe appears to be expanding, and for all we know will do so forever, possibly leading to the heat death of the universe.
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