From computation to black holes and space-time foam

Y. Jack Ng

doi:10.1103/PhysRevLett.86.2946

paper

From computation to black holes and space-time foam

arXiv:gr-qc/0006105 · doi:10.1103/PhysRevLett.86.2946

Abstract

We show that quantum mechanics and general relativity limit the speed $ν ~$ of a simple computer (such as a black hole) and its memory space $I$ to $\tildeν^2 I^{-1} \lsim t_P^{-2}$, where $t_{P}$ is the Planck time. We also show that the life-time of a simple clock and its precision are similarly limited. These bounds and the holographic bound originate from the same physics that governs the quantum fluctuations of space-time. We further show that these physical bounds are realized for black holes, yielding the correct Hawking black hole lifetime, and that space-time undergoes much larger quantum fluctuations than conventional wisdom claims -- almost within range of detection with modern gravitational-wave interferometers.

A misidentification of computer speeds is corrected. Our results for black hole computation now agree with those given by S. Lloyd. All other conclusions remain unchanged

From computation to black holes and space-time foam

Abstract

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