I have been wondering if the finite speed of light limits how fast an acceleration can be. An example would be if objects would instantaneously fall if the speed of light was infinite. The gravitational constant, however, is empirically measured so that makes it a bit difficult. The coulumb constant (characterizing the force between charges) , however, depends on the speed of light squared, leading to an infinite constant as the speed of light goes to infinity. This would then lead to an infinite force between the objects, so there could then be an infinite acceleration.
What bothers me about the above thought experiment is that electrostatics was (is?) a classical theory, where the speed of the light was assumed to be infinite. But maybe they did not know what factors went into the constant at that time . . .
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