Saturday, February 18, 2017

black holes - What are the physical properties of momentum space?



In classical mechanics, the phase space is the space of all possible states of a physical system; by “state” we do not simply mean the positions q of all the objects in the system (which would occupy physical space or configuration space), but also their velocities or momenta p (which would occupy momentum space)


quoted from: https://www.math.ucla.edu/~tao/preprints/phase_space.pdf


In black hole formation via collapse the stellar matter is compressed so all possible position states are filled which means by virtue of Heisenberg Uncertainty Principle that momentum space must increase exponentially. This would create a highly unusual physical situation. What properties would this have?




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