Re: Turning back time
In fact, you brought this upon yourself. You have been writing useless crap about claiming that the escape velocity of a black hole could be twice that, in fact where it could be. Let's take the IVT (Intermediate Value Theorem) and Newton's law of universal gravitation.
We know for a fact that light cannot escape a black hole at a certain point. Let's call the distance from the black hole to this locus of points x. Therefore, at a distance x, light cannot escape a black hole. Therefore, the escape velocity of a black hole is greater than the speed of light. Not equal to, since if it were, then light would stand still. Now, take distance x/2. At distance x/2, light cannot escape a black hole either, because it is inside the event horizon. Therefore, the escape velocity of a black hole is still greater than the speed of light. Now, according to Newton's law of universal gravitational, if we cut the distance between two points in half, we quadruple the force between them. (From here). Therefore, at a distance x/2 from the black hole, the escape velocity is at least 4 times the speed of light. Now, since light cannot escape a black hole at a distance x, it cannot escape light at a distance x-c (where 0 <= c <= x/2). This assumption falls logically from Newton's law of universal gravitation. Now, since light cannot escape the black hole at these distances, and according to Newton's law of universal gravitation, the escape velocity of a black hole as you approach the black hole is increasing (therefore, it is continuous). Therefore, according to the Intermediate Value Theorem, there is a distance k (between x and x/2) such that the escape velocity is twice that of the speed of light.
There is one flaw, this distance x yields an escape velocity twice that of the speed of light. Then, we double the distance x. If this still yields an escape velocity twice that of the speed of light, we continue doubling. If we are at the point where the escape velocity is always twice that of the speed of light, we have a contradiction (we wouldn't exist), therefore at some distance x from the black hole, the escape velocity must be equal to twice the speed of light.
There is still no way to know something like that. Its just an assumption. It could be twice that. (Written by Kekiz)
We know for a fact that light cannot escape a black hole at a certain point. Let's call the distance from the black hole to this locus of points x. Therefore, at a distance x, light cannot escape a black hole. Therefore, the escape velocity of a black hole is greater than the speed of light. Not equal to, since if it were, then light would stand still. Now, take distance x/2. At distance x/2, light cannot escape a black hole either, because it is inside the event horizon. Therefore, the escape velocity of a black hole is still greater than the speed of light. Now, according to Newton's law of universal gravitational, if we cut the distance between two points in half, we quadruple the force between them. (From here). Therefore, at a distance x/2 from the black hole, the escape velocity is at least 4 times the speed of light. Now, since light cannot escape a black hole at a distance x, it cannot escape light at a distance x-c (where 0 <= c <= x/2). This assumption falls logically from Newton's law of universal gravitation. Now, since light cannot escape the black hole at these distances, and according to Newton's law of universal gravitation, the escape velocity of a black hole as you approach the black hole is increasing (therefore, it is continuous). Therefore, according to the Intermediate Value Theorem, there is a distance k (between x and x/2) such that the escape velocity is twice that of the speed of light.
There is one flaw, this distance x yields an escape velocity twice that of the speed of light. Then, we double the distance x. If this still yields an escape velocity twice that of the speed of light, we continue doubling. If we are at the point where the escape velocity is always twice that of the speed of light, we have a contradiction (we wouldn't exist), therefore at some distance x from the black hole, the escape velocity must be equal to twice the speed of light.


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