- #36
Passionflower
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Reasoning why we have the 3/2R ratio would be very interesting. I wonder if we can relate it to the fact that the photon sphere has the same ratio with respect to the Schwarzschild radius.
Perhaps there is some merit in considering that a stationary observer hovering just above the event horizon has the maximum (coordinate) time dilation due to gravitational time dilation and zero 'SR time dilation' and an observer in a circular orbit slightly outside the photon sphere has the maximum (coordinate and proper) velocity approaching c which implies the maximum 'SR time dilation'. These 'maximums' are 3/2 away from each other.
Perhaps there is some merit in considering that a stationary observer hovering just above the event horizon has the maximum (coordinate) time dilation due to gravitational time dilation and zero 'SR time dilation' and an observer in a circular orbit slightly outside the photon sphere has the maximum (coordinate and proper) velocity approaching c which implies the maximum 'SR time dilation'. These 'maximums' are 3/2 away from each other.
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