Abstract
It is said that General Relativity fails, because of the occurrence of singularities, and of the non-renormalizability of Quantum Gravity.
Is this failure due to General Relativity, or to our limited understanding? If singularities exist, then did God divide by zero, or we did?
Several fundamental assumptions limited our understanding. Once we get rid of them, we can understand singularities, and see that actually they don't destroy spacetime and information. I show explicitly that the Big-Bang singularity of the FLRW model, and the black hole singularities, can be understood without modifying General Relativity or adding unphysical fields.
Singularities turn out to be our friends. They smoothen and homogenize the Big-Bang. They remove the infinities of the electromagnetic field, and provide a regularization of the quantum fields. They open a door toward a Quantum Gravity, by dimensional regularization.
Cristinel Stoica