Indeed, we are creatures whose brains are possibly limited by the Bekenstein bound.I’m not suggesting we’re limited in our understanding by some religious edict or EU directive, but that there are hardwired physiological limitations to what we can know, because beyond them, the brain can’t function.
Indeed not - one probably needs to grasp the nature of a mathematical dual, particularly in the sense of an isomorphism.That’s not the holographic principle I’ve been trying to wrap my head around.
The holographic principle is intimately linked to the concept of the Bekenstein bound by black-hole thermodynamics. It states that the entropy (or equivalently, the information content) of an object with mass-energy is proportional to the area of its bounding surface and not to its volume. This implies that volume can be considered an illusion and that one can alternatively describe the universe by a lower-dimensional object that encodes all the information about the higher-dimensional universe on its surface, somewhat in the manner of an optical hologram. However, the holographic principle has not been demonstrated theoretically for the 4D space-time of our universe (only for anti-de Sitter and similar esoteric-type spaces) nor has experimental evidence yet been forthcoming that confirms or refutes the proposition. The part I like about the holographic principle is that it implies that theories containing infinities, such as quantum field theory, must necessarily yield testable incorrect predictions at some level.
The following link contains a popular science article on the subject by Bekenstein:
https://ref-sciam.livejournal.com/1190.html
(Please note that the typography of the article has been somewhat mangled. For example, the powers 10^10, 10^23, 10^66 and 10^100 are displayed as 1010, 1023, 1066 and 10100, which is obviously misleading.)
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