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A260849 Decimal expansion of the maximum performance (operations per second) of an "ultimate laptop". 0
5, 4, 2, 5, 5, 7, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

51,1

COMMENTS

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

LINKS

Table of n, a(n) for n=51..57.

Seth Lloyd, Ultimate physical limits to computation (arXiv)

Wikipedia, Black hole

Wikipedia, Limits to computation

FORMULA

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

EXAMPLE

5.425570*10^50 operations per second.

CROSSREFS

Cf. A070058, A182999, A254181.

Sequence in context: A309442 A213205 A094778 * A246746 A180131 A257972

Adjacent sequences:  A260846 A260847 A260848 * A260850 A260851 A260852

KEYWORD

nonn,cons,hard

AUTHOR

Arkadiusz Wesolowski, Aug 01 2015

STATUS

approved

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Last modified November 19 20:42 EST 2019. Contains 329323 sequences. (Running on oeis4.)