In physics, the Bekenstein bound is an upper limit on the entropy S, or information I, that can be contained within a given finite region of space which has a finite amount of energy—or conversely, the maximum amount of information required to perfectly describe a given physical system down to the quantum level. It implies that the information of a physical system, or the information necessary to perfectly describe that system, must be finite if the region of space and the energy is finite. In computer science, this implies that there is a maximum information-processing rate for a physical system that has a finite size and energy, and that a Turing machine with unbounded memory is not physically possible.
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“Successful socialism depends on the perfectibility of man. Unless all, or nearly all, men are high-minded and clear-sighted, it is bound to be a rotten failure in any but a physical sense. Even through it is altruism, socialism means materialism. You can guarantee the things of the body to every one, but you cannot guarantee the things of the spirit to every one; you can guarantee only that the opportunity to seek them shall not be denied to any one who chooses to seek them.”
—Katharine Fullerton Gerould (1879–1944)