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Date: 24-12-2015
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Date: 24-1-2017
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Date: 23-12-2015
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Equivalence Principle
A second law of nature concerns the nature of gravitation. In its simplest form the equivalence principle says that a gravitational field is locally equivalent to an accelerated frame. More exactly, it says that a freely falling observer or system will not experience the effects of gravity except through the tidal forces, or equivalently, the curvature components. We have seen that the magnitude of the curvature components at the horizon are small and tend to zero as the mass and radius of the black hole increase. The curvature typically satisfies
Any freely falling system of size much smaller than MG will not be distorted or otherwise disrupted by the presence of the horizon.
Fig. 1.1. Top: evolution of the thermal entropies of box and exterior. Bottom evolution of entanglement entropy and information.
The equivalence principle requires the horizon of a very large black hole to have the same effects on a freely falling observer as the horizon of Rindler space has; namely, no effect at all.
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