Experiment 1. Take an empty one way street with at its opposite extremities point a and point b. If one car travels frontally from point a to point b, while another travels backwards from point b to point a with its reverse lights broken or invisible to the outside observer, then at every moment of this choreography it appears impossible for the observer to determine which of the cars is moving in reverse.
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If shuffling black and white marbles in a closed box has a close-to-zero probability of ordering the red marbles on one side and the blue on the other, then time must moving forward.
If the swinging pendulum comes to a stop, if a building’s glass shatters in an explosion, if walls crack, nails grow and people age, then time must be moving forward. As long as objects, bodies, and spaces in an isolated system have a tendency towards a maximal state of dispersion and recombination, then time must be moving forward.
If, however, entropy were to decrease, if the apparent disorder begins to arrange itself into order and fixity, this can mean one or two things. On one hand, that time may be moving backwards. On the other, that the system is not isolated.
An event displaying no entropy change to an outside observer is an event that can be moving either both neither backward or and nor forward in time. Had the event taken place in reverse, its energetic result would be the same, resulting in an incapacity to determine the direction of time.
Experiment 2. Take a wall built around an informal football field by the owner of the land. The construction workers lay ten meters of brick on one day, and the football players undo ten meter of brick the following night. Throughout this process, it is effectively impossible for an outside observer to detect whether the wall is being built, demolished or both.