Bremermann's limit in cGh-physics

Gennady E. Gorelik · arXiv (Cornell University) · 2009

Do physical laws limit the speed of "all data processing systems, manmade as well as biological"? This question proposed and positively answered by H. J. Bremermann in 1962, should be corrected to make it compatible with Einstein's theory of gravity (aka General Relativity, or GR). As a result, the Bremermann's limit, proportional to mass M of any computer, Mc^2/h = ~ (M/gram)10^47 bits per second, should be replaced by the absolute limit (c^5/Gh)^1/2= ~ 10^43 bits per second, where the universal constants c, G, and h are the speed of light, the gravitational constant, and Planck's constant.

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