The Laws Of Physics Inside A Black Hole Must Be Equivalent To Those Outside It
Abstract: We present the generalization of Einstein's principle of equivalence and highlight the consequences of this generalization regarding black holes.
It is known that the intensity of the gravitational field is directly proportional to the mass of the central body and inversely proportional to the square of the distance to the center of the central body. Therefore, the intensity of the gravitational field is directly proportional to the ratio
$$\frac{M}{R^2},$$
where M is the mass of the central body, and R is the distance to the center of the central body.
Also, we recall Einstein's mental experiment in which the observer in the elevator could not decide (locally) whether the elevator is in the gravitational field or is actually in an accelerations field.
Well, the same observer of Einstein, who cannot decide whether he is in a gravitational field or in a field of accelerations (because he cannot in principle determine the nonuniformity of the field), will not be able to decide whether the intensity of the gravitational field is due either to a very massive body but located at a huge distance from the elevator or due to a small body, but at a very small distance from the elevator.
This main impossibility of the lift observer to decide whether it is close to a light body or far from a massive body allows us to generalize Einstein's principle of equivalence, in the sense that:
-not only that a gravitational field is equivalent to a field of accelerations, but, even more, a gravitational field near a light body can be equivalent to a gravitational field located far from a massive body.
This principle generalizes the principle of Einstein's equivalence, because an acceleration field can be considered as a gravitational field measured very far from a central body, so such an acceleration field is a particular case of gravitational field, when the central body is at infinite distance from the lift.
Once this principle is understood, it will be understood that all the laws of Physics (so also the laws of electromagnetism) must be reformulated so that they are equivalent both inside and outside of a black hole.
But such a consequence forces us to review everything we know in Physics, everything that involves gravity, including what we know about black holes.
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