What Are the Empirical Challenges Facing Quantum Gravity Theories?

In summary, Rovelli points out three key pieces of observational evidence that should guide future research in quantum gravity. This includes abandoning Lorentz invariance violating theories, supergravity and string theory, and the anti-deSitter/conformal field theory relationship. Additionally, he suggests stopping work on models of dark matter that predict NFW particle distributions, as they have been repeatedly shown to be at odds with observational data. Rovelli argues that while these experimental data do not definitively rule out these theories, they should be taken into consideration and may decrease confidence in them. He also discusses the non-discovery of supersymmetry and the positive cosmological constant as further indications that certain theoretical approaches may need to be re-evaluated
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