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Consider a mathematical spherical construct that contains more than the the r^2 amount of entropy than can be described by the Holographic Principle. What makes
by VanillaCafe 10y ago
Consider a mathematical spherical construct that contains more than the the r^2 amount of entropy than can be described by the Holographic Principle. What makes that not possible under the theory? What breaks down? Is there a physical analogy for it?
- bermanoid 10y agoFrom https://en.wikipedia.org/wiki/Holographic_principle https://en.wikipedia.org/wiki/Holographic_principle: 'However, there exist classical solutions to the Einstein equations that allow values of the entropy larger than those allowed by an area law, hence in principle larger than those of a black hole. These are the so-called "Wheeler's bags of gold". The existence of such solutions conflicts with the holographic interpretation, and their effects in a quantum theory of gravity including the holographic principle are not yet fully understood.'
- trhway 10y agoto me it like classical electrodynamics ie. like Gauss's law connecting field on the closed surface with what is inside. The key in classical EM is that EM field is holomorphic, and the gravity in GM seems to be close to that too. So in that sense holographic principle is something like this - integral of information flux taken over closed surface equals the integral of the information [charges] taken over the enclosed volume, and thus the upper limit of r^2 is just being a simple consequence of the equality in the situation of maximum entropy (minimum information) situation of a black hole (with gravity being fully compatible with [and alternatively reformulated through] entropy description a black hole is the ultimate gravitational as well as ultimate entropy state).