Year: 2022

VOLUME VS SURFACE AREA. “Remarkably, though, the theoretical ultimate information capacity of the space occupied by the heap increases only with the surface area. Because volume increases more rapidly than surface area, at some point the entropy of all the chips would exceed the holographic bound.” https://lnkd.in/draqjTW View in LinkedIn

PILE OF COMPUTER CHIPS. “It would seem that either the GSL or our commonsense ideas of entropy and information capacity must fail. In fact, what fails is the pile itself: it would collapse under its own gravity and form a black hole before that impasse was reached. Thereafter each additional memory chip would increase the mass and surface area of the black hole in a way that would continue to preserve the GSL.” (GSL = generalized second law). https://lnkd.in/draqjTW View in LinkedIn

THE LEAP. “This surprising result--that information capacity depends on surface area--has a natural explanation if the holographic principle (proposed by t Hooft and elaborated by Susskind) is true.” https://lnkd.in/draqjTW View in LinkedIn

EVOLVED CONSCIOUSNESS. “The mathematician David Mumford explicitly acknowledges the requirement for pre-verbal humans and other intelligent animals to use internal languages.” https://lnkd.in/dCNSFyW View in LinkedIn

Nature abounds with geometric symmetries, surprising because it is generally non-geometric in form in a traditional Euclidian sense. View in LinkedIn

EMBEDDED IMAGE. “In the everyday world, a hologram is a special kind of photograph that generates a full three-dimensional image when it is illuminated in the right manner. All the information describing the 3-D scene is encoded into the pattern of light and dark areas on the two-dimensional piece of film, ready to be regenerated.” https://lnkd.in/draqjTW View in LinkedIn

FROM 2D TO 3D. “The holographic principle contends that an analogue of this visual magic applies to the full physical description of any system occupying a 3-D region: it proposes that another physical theory defined only on the 2-D boundary of the region completely describes the 3-D physics.” https://lnkd.in/draqjTW View in LinkedIn

LOGICAL SUPPOSITION. “If a 3-D system can be fully described by a physical theory operating solely on its 2-D boundary, one would expect the information content of the system not to exceed that of the description on the boundary.” https://lnkd.in/draqjTW View in LinkedIn

FROM 2D TO 4D. “A Universe Painted on Its Boundary. CAN WE APPLY the holographic principle to the universe at large? The real universe is a 4-D system: it has volume and extends in time.” https://lnkd.in/draqjTW View in LinkedIn

NEW 3D PHYSICS. “If the physics of our universe is holographic, there would be an alternative set of physical laws, operating on a 3-D boundary of spacetime somewhere, that would be equivalent to our known 4-D physics.” https://lnkd.in/draqjTW View in LinkedIn