![]() The acceleration $g$ is equivalent to the temperature and is $g~=~1/8\pi M$. The red circle represents a one loop propagator of a field with Hamiltonian $H$ with phase $exp(-2\pi H/g)$, where the $2\pi$ is a time parameter that defines the circle. ![]() The Penrose diagram for the black hole is similar. The finite temperature and entropy of a black hole strongly suggests some sort of emission process that is quantum mechanical. The Bekenstein bound and the laws of black hole thermodynamics is a case in point. The remarkable thing about general relativity is that it has a structure that gives quantum results. The regions I and II are exterior regions with different event horizons that present themselves, or the physics surrounding them, to an observer there. The white hole is the aspect of a black hole that emits radiation it has been thought of as the inverse of a black hole. The horizon of the black hole is the central diagonal cross, and the interior is the wedge at the top, while the wedge at the bottom is considered to be the white hole. This is a form of the Penrose conformal diagram for the Schwarzschild metric. I attach the following diagram, which I have presented on a number of occasions. If gauge fields are considered to be forces then it probably means we should consider gravitation a force if we are to treat gauge fields and gravitation as existing on the same basis. ![]() Whether gravitation is a force or not is in some ways a matter of definition. It is also the case that gravitation is a manifestation of spacetime curvature, but gauge fields or forces are manifestations of curvatures on a principal bundle. However, there is the Weyl curvature that induces tidal forces between two bodies or across extended bodies. One perspective is that gravitation is not even a force due to the equivalence principle. There are a number of perspectives on this. ![]()
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