In summary, non-perturbative renormalization is a mathematical framework used to study quantum field theories, including those involving gravity. It is important in the study of gravity as it allows for a deeper understanding of its behavior at small distances and high energies, and addresses issues of infinities and singularities. Non-perturbative renormalization differs from perturbative renormalization in that it considers all possible interactions between particles. Current research areas include quantum gravity, the Planck scale, and black hole thermodynamics. Non-perturbative renormalization has the potential to greatly impact our understanding of the universe by providing a more accurate and comprehensive approach to studying quantum field theories and potentially contributing to the development of a unified theory
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Angel Kld
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If we were to find some way to make the graviton self-interaction easily calculable, would applying non-perturbative renormalization on it seem any promising?