In other words, what equations hold the most promise in this endeavour? Are we all looking at the same equations or is this pursuit subjective?
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3https://physics.stackexchange.com/q/387/ -- the short version is 1. the problem of how to treat time and 2. the non-renormalizability of Einstein's equations (i.e. canonical quanitzation gives non-renormalizable infinities when applied to Einstein's equations). – CasualScience Feb 20 '19 at 20:46
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1Possible duplicate of A list of inconveniences between quantum mechanics and (general) relativity? – Thorondor Feb 20 '19 at 21:21