## To Have and Not to Have - the Paradox of Black Hole Mass

**Authors:** Stephen J. Crothers

Cosmologists always claim that their black holes, mathematical fabrications entire as they are, have a finite mass. This mass, they say, is concentrated at their 'singularity', where volume is zero, density is infinite, and their spacetime infinitely curved. Their singularity they say is not a mathematical artifice, not a limiting fiction, but a real physical entity which absorbs all other matter that encounters it. In this way cosmologists have even asserted that their black holes can become obese. Their black hole was first conjured from their solution to what Einstein called The Field Equations of Gravitation in the Absence of Matter. Notwithstanding the absence of matter, Einstein claimed that a material source is still present, because his gravitational field is spacetime curvature induced by the presence of a material source. Without matter there is no gravitational field. And what is matter? According to Einstein it is everything except his gravitational field. Now there is only one other form of Einstein’s field equations: The Field Equations of Gravitation in the Presence of Matter. Thus, in both cases, Einstein and his followers claim that a material source is present. However, in a mathematical theory, matter cannot be both present and absent by the very same mathematical constraint. Cosmologists routinely call their contradictions 'paradoxes' that defy 'common sense'. Nonetheless, common sense does in fact know that a contradiction is a contradiction; no less than a rose by any other name is still a rose. Not only does the black hole defy common sense, it defies physics and mathematics.

**Comments:** 4 Pages.

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### Submission history

[v1] 2015-08-14 09:11:08

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