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The Time Machine Halting Problem

10101001 10101001 (732688) writes | more than 5 years ago

User Journal 0

Let's engage in a little thought experiment. Presume there exists a person with the capability of making a time machine. This person performs the following experiment.

  1. On day one of his experiment, he calibrates a watch to a know time device.
  2. One year later, he measures this watch against the same time device to establish the amount of drift on the watch.
  3. One week later, he measures again this watch.

Let's engage in a little thought experiment. Presume there exists a person with the capability of making a time machine. This person performs the following experiment.

  1. On day one of his experiment, he calibrates a watch to a know time device.
  2. One year later, he measures this watch against the same time device to establish the amount of drift on the watch.
  3. One week later, he measures again this watch.

If the difference between the one year and one year and one week measurement is greater than the possible drift incurred over one week, the experimenter knows that he creates a time machine that successfully shifts the watch by an amount greater than the possible error. Hence, he decides to not work on the time machine.

If the difference between the one year and one year and one week measure is less than or equal the possible drift incurred over one week, the experimenter knows that he doesn't create a time machine that successfully shifts the watch by an amount greater than the possible error. Hence, he decides to work on the time machine.

Now, that's just a silly time paradox, just like the halting problem paradox.

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