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Mudassir Ali

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Renormalization is an ad hoc mathematical technique for removing infinities that arise in attempting to calculate self-energies of particles, and it depends on the identification and characterization of a finite number of independent parameters that are re-scaled to produce a meaningful answer in quantum field theory. However, with gravity there are infinitely many parameters, referred to as counterterm coefficients, that would have to be renormalized to formulate a sensible theory of quantum gravity. The number of parameters could be truncated for very low energies, but that would result in the standard classical theory of General Relativity. So after many decades of attempts by many very bright theorists, it looks like gravity is simply not quantizable.