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Poincaré recurrence time

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The Poincaré recurrence time of certain systems is the time for them to revert to a state almost identical to their current state.

Don Page gave an estimate of \(10^{10^{10^{10^{2.08}}}}\) years for the Poincaré recurrence time of our observable universe. This number is so large that the estimate remains the same whether measuring time in Planck times, years, millennia, or any other time units of the same exponential order.[1]

Page also estimated a Poincaré recurrence time of a Linde-type super-inflationary universe at \(10^{10^{10^{10^{10^{1.1}}}}}\) years, which Page claimed to be, to his knowledge, the longest finite length of time ever explicitly calculated by any physicist.[2][3]

Sources Edit

  1. Page, Don. Susskind's Challenge to the Hartle-Hawking No-Boundary Proposal and Possible Resolutions. Retrieved May 2014.
  2. How to Get a Googolplex
  3. The longest time

See also Edit

Large numbers in science

Avogadro's number · Eddington number · Planck units · Poincaré recurrence time · Promaxima · Sagan's number

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