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A260849 Decimal expansion of the maximum performance (operations per second) of an "ultimate laptop". 0


%S 5,4,2,5,5,7,0

%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="http://arxiv.org/pdf/quant-ph/9908043">Ultimate physical limits to computation</a> (arXiv)

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Black_hole">Black hole</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Limits_to_computation">Limits to computation</a>

%F Equals 2 * (1 kg) * A182999 / (Pi * A254181).

%e 5.425570*10^50 operations per second.

%Y Cf. A070058, A182999, A254181.

%K nonn,cons,hard

%O 51,1

%A _Arkadiusz Wesolowski_, Aug 01 2015

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Last modified December 5 20:44 EST 2019. Contains 329778 sequences. (Running on oeis4.)