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
Seth Lloyd, Ultimate physical limits to computation Nature, 406 (2000), 1047-1054; arXiv:quant-ph/9908043, 1999-2000.
Wikipedia, Black hole
Wikipedia, Limits of computation
EXAMPLE
5.4255699...*10^50 operations per second.
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Arkadiusz Wesolowski, Aug 01 2015
EXTENSIONS
Edited and extended using modern definitions of fundamental constants by Andrey Zabolotskiy, Apr 22 2023
STATUS
approved