Bekenstein bound

In physics, the Bekenstein bound (named after Jacob Bekenstein) is an upper limit on the thermodynamic entropy S, or Shannon entropy H, 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.^[1] 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 are finite.

^ Bekenstein, Jacob D. (1981). "Universal upper bound on the entropy-to-energy ratio for bounded systems" (PDF). Physical Review D. 23 (2): 287–298. Bibcode:1981PhRvD..23..287B. doi:10.1103/PhysRevD.23.287. S2CID 120643289.

[Bekenstein1981-1-1] Bekenstein, Jacob D. (1981). "Universal upper bound on the entropy-to-energy ratio for bounded systems" (PDF). Physical Review D. 23 (2): 287–298. Bibcode:1981PhRvD..23..287B. doi:10.1103/PhysRevD.23.287. S2CID 120643289.

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