Answer to 'computronium and time dilation and Bremermann's limit'

Abstract

This article delves into the hypothetical computational limits of computronium, a theoretical material consisting of pure computation, in the context of gravitational time dilation. It explores the idea that there may be a density threshold beyond which the time dilation effects due to the gravitational field of computronium would lead to a decrease in its computational efficiency as measured by an external observer. The author presents a simple calculation that estimates this critical density and compares it with the densities of other astrophysical objects such as neutron stars and protons. The article also discusses the potential conflict between this theoretical limit and well-established concepts like Bremermann’s limit and the Bekenstein bound. – AI-generated abstract.