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 maximal 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. In computer science this implies that non-finite models such as Turing machines are not realizable as finite devices.
^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.
In physics, the Bekensteinbound (named after Jacob Bekenstein) is an upper limit on the thermodynamic entropy S, or Shannon entropy H, that can be contained...
Jacob David Bekenstein (Hebrew: יעקב בקנשטיין; May 1, 1947 – August 16, 2015) was a Mexican-born American-Israeli theoretical physicist who made fundamental...
2013. Jacob Bekenstein claimed to have found a way to test the holographic principle with a tabletop photon experiment. Bekensteinbound Beyond black...
also the maximal entropy that can be obtained by the Bekensteinbound (wherein the Bekensteinbound becomes an equality) was the main observation that led...
can be performed with a given amount of mass, volume, or energy. The Bekensteinbound limits the amount of information that can be stored within a spherical...
Anthropic principle – Hypothesis about sapient life and the universe Bekensteinbound – Upper limit on entropy in physics China brain – Philosophical experiment...
[citation needed] In 1972, Jacob Bekenstein developed a theory and reported that the black holes should have an entropy. Bekenstein's theory and report came to...
also the maximal entropy that can be obtained by the Bekensteinbound (wherein the Bekensteinbound becomes an equality) was the main observation that led...
be a neutron star; otherwise the result will be a black hole.: 74 Bekensteinbound Chandrasekhar's white dwarf equation Schönberg–Chandrasekhar limit...
hole's entropy and of the information that it contains, as per the Bekensteinbound. Constructor theory is an attempt to bridge this gap, providing a physical...
physical universe are prohibited by the holographic principle and the Bekensteinbound. Hypercomputation, for other such powerful machines. Klaus Weihrauch...
Arithmetical hierarchy Bekensteinbound, showing the impossibility of infinite-tape Turing machines of finite size and bounded energy BlooP and FlooP...
of remnant-type scenarios, which is that they might may violate the Bekensteinbound and lead to a violation of effective field theory due to the production...
{\displaystyle S\leq S_{max}={\frac {2\pi RE}{n}},} when Ec=E, which is the Bekensteinbound. The Cardy–Verlinde formula was later shown by Kutasov and Larsen to...
anthropologist and botanist Jacob Bekenstein, physicist; contributed to the foundation of black hole thermodynamics; see the Bekensteinbound Francisco Bolívar Zapata...
its entropy is captured by a law[which?] directly analogous to the Bekensteinbound in (3+1)-dimensions, essentially with the surface area replaced by...