The singularity theorems [1] show that, under reasonable physical assumptions, the Universe originated from an initialsingularity, and will develop future singularities in the form of black holes and, perhaps, of a big crunch. Until now,singularities are out of the scope of any physical theory. If we assume that a physical theory can describe the wholeUniverse at every instant, even at its possible moment of creation, which is the best attitude because it is the onlyway to seek the limits of physical science (in the words of Wheeler about singularities [2], ‘physics stops, but physicsmust go on’), then it is necessary that the ‘reasonable physical assumptions’ of the theorems be not valid under extreme situations of very high energy density and curvature.We may say that General Relativity (GR), and/or nongravitational field theory, must be changed under these extreme conditions. In fact, one must view such theorems as indications of the limits of GR and/or intervention of new types of matter.
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