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A260849
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Decimal expansion of the maximum performance (operations per second) of an "ultimate laptop".
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0
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OFFSET
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51,1
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COMMENTS
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The "ultimate laptop" is a hypothetical computer formed by compressing a kilogram of matter into a black hole the size of its Schwarzschild radius.
Every physical system holds binary digits in the states of its particles. "Computation" makes changes in those states. A system with average energy E can perform a maximum of 2 * E / (Pi * A254181) logical operations per second. The "ultimate laptop" turns all of its matter into energy.
Bremermann's limit gives an even tighter bound of 1.35639... * 10^50 operations per second if the laptop is self-contained. - Charles R Greathouse IV, Apr 18 2016
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LINKS
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Table of n, a(n) for n=51..57.
Seth Lloyd, Ultimate physical limits to computation (arXiv)
Wikipedia, Black hole
Wikipedia, Limits to computation
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FORMULA
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Equals 2 * (1 kg) * A182999 / (Pi * A254181).
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EXAMPLE
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5.425570*10^50 operations per second.
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CROSSREFS
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Cf. A070058, A182999, A254181.
Sequence in context: A309442 A213205 A094778 * A246746 A180131 A257972
Adjacent sequences: A260846 A260847 A260848 * A260850 A260851 A260852
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KEYWORD
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nonn,cons,hard
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AUTHOR
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Arkadiusz Wesolowski, Aug 01 2015
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STATUS
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approved
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