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%I #19 Apr 22 2023 13:10:08
%S 5,4,2,5,5,6,9,9,5,8,6,0,8,5,2,8,4,0,5,0,3,0,5,4,4,3,8,6,8,5,6,5,1,4,
%T 0,3,7,9,6,2,6,0,7,4,4,3,8,7,0,7,8,3,6,4,9,9,4,3,7,0,0,0,3,7,6,4,5,9,
%U 9,4,4,3,6,0,8,3,6,5,6,6,1,5,0,7,5,2,2,6,7,5,4,1,2,6,6,5,2,2,8,1
%N Decimal expansion of the maximum performance (operations per second) of an "ultimate laptop".
%C The "ultimate laptop" is a hypothetical computer formed by compressing a kilogram of matter into a black hole the size of its Schwarzschild radius.
%C 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.
%C 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
%H Seth Lloyd, <a href="https://doi.org/10.1038/35023282">Ultimate physical limits to computation</a> Nature, 406 (2000), 1047-1054; arXiv:<a href="https://arxiv.org/abs/quant-ph/9908043">quant-ph/9908043</a>, 1999-2000.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Black_hole">Black hole</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Limits_of_computation">Limits of computation</a>
%F Equals 2 * (1 kg) * A182999 / (Pi * A254181).
%e 5.4255699...*10^50 operations per second.
%Y Cf. A070058, A182999, A254181.
%K nonn,cons
%O 51,1
%A _Arkadiusz Wesolowski_, Aug 01 2015
%E Edited and extended using modern definitions of fundamental constants by _Andrey Zabolotskiy_, Apr 22 2023
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