Everything about Time Reversibility totally explained
Time reversibility is an attribute of some
stochastic processes and some
deterministic processes.
If a
stochastic process is time reversible, then it isn't possible to determine, given the states at a number of points in time after running the stochastic process, which state came first and which state arrived later.
If a
deterministic process is time reversible, then the time-reversed process satisfies the same dynamical equations as the original process, AKA
reversible dynamics; the equations are invariant or symmetric under a change in the sign of time.
Classical mechanics and
optics are both time-reversible. Modern physics isn't quite time-reversible; instead it exhibits a broader symmetry,
CPT symmetry.
Time reversibility generally occurs when, within a process, it can be broken up into sub-processes which undo the effects of each other. For example, in
phylogenetics, a time-reversible nucleotide substitution model such as the
generalised time reversible model has the total overall rate into a certain nucleotide equal to the total rate out of that same nucleotide.
Time Reversal, specifically in the field of
acoustics, is a process by which the linearity of sound waves is used to reverse a received signal; this signal is then re-emitted and a temporal compression occurs, resulting in a reverse of the initial excitation waveform being played at the initial source. Mathias Fink is credited with proving Acoustic Time Reversal by experiment.
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