Bremermann's limit in cGh-physics

TL;DR

This paper revises Bremermann's limit on data processing speed by incorporating general relativity, establishing a universal maximum rate of approximately 10^43 bits per second based on fundamental constants.

Contribution

It corrects the original Bremermann's limit to be compatible with Einstein's gravity, deriving a new universal maximum data processing rate from fundamental physical constants.

Findings

Revised the maximum data processing rate to ~10^43 bits/sec

Established the limit as a universal constant independent of mass

Connected data processing limits with fundamental physical constants

Abstract

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.