A singularity in general relativity can be defined by the scalar invariant curvature becoming infinite or, better, by a geodesic being incomplete. Trying to find a complete and precise definition of singularities in the theory of general relativity, the current best theory of gravity, remains a difficult problem. Gravitational singularities exist at a junction between general relativity and quantum mechanics therefore, the properties of the singularity cannot be described without an established theory of quantum gravity. As such, a singularity is by definition no longer part of the regular spacetime and cannot be determined by "where" or "when". A gravitational singularity, spacetime singularity or simply singularity is a condition in which gravity is predicted to be so intense that spacetime itself would break down catastrophically.
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