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Originally posted by S.J.Crothers
reply to post by Astyanax
Owing to its simplicity I give here the simple proof that infinite density is forbidden by the Theory of Relativity. That is of itself sufficient to invalidate the notion of the black hole. The proof requires only algebra that 16 year olds have learnt at school.
The black hole is alleged to have an infinitely dense point-mass singularity. It is allegedly obtained from General Relativity, which is called General because it is a generalization of Special Relativity to include the gravitational field. Thus, by definition, General Relativity cannot violate Special Relativity. Indeed, Einstein explicitly stated that in a sufficiently small region of his gravitational field the laws of Special Relativity must hold. Now recall that according to Special Relativity no material body can acquire the speed c of light in vacuum.
Also, according to Special Relativity there is no absolute motion, only relative motion between bodies. Consider two bodies at rest (i.e. their relative velocity is zero), one of rest-mass Mo and one of rest-mass mo. Let each of these rest-masses be cuboid in shape, of sides Lo and Xo respectively.
Now let the masses have a relative velocity of magnitude v. Consider the situation from the perspective of the mass Mo. According to Special Relativity the observer with mass Mo sees a change in the mass mo according to the relation
m = mo /√(1 – v^2/c^2)
and the volume V of the other mass observed by Mo is given by
V = Xo^3 √(1 – v^2/c^2).
Recall from high school that the density D of a body is defined as the mass divided by its volume. Accordingly, the density observed by Mo is
D = m/V = mo / [Xo^3(1 – v^2/c^2)].
This becomes infinite as v approaches c. But no material body can acquire the speed c according to the fundamental hypothesis of Special Relativity. Therefore, Special Relativity forbids infinite density. Since General Relativity cannot violate Special Relativity it too forbids infinite density. But the black hole singularity is alleged to be infinitely dense, in violation of the Theory of Relativity. Hence, the black hole is forbidden by the Theory of Relativity.
This result is reciprocal, i.e. it is the same from the point of view of the observer of rest-mass mo.
Originally posted by buddha
absolute gravity? and time?
[edit on 2-9-2010 by buddha]
Could it be that black holes are giant stars that don't allow even light to escape? these stars could not be singularities, they could simply have the highest density matter allows.
Love moves from image to frontier. -Americanist