How Far Are We from the Quantum Theory of Gravity?
R. P. Woodard (University of Florida)

TL;DR
This paper explains the challenges in quantizing gravity, discusses why a quantum theory of gravity is necessary, and reviews recent cosmological data relevant to quantum gravity research.
Contribution
It provides a pedagogical overview of the difficulties in developing a quantum theory of gravity and discusses recent observational data impacting the field.
Findings
Quantum gravity divergences are more severe than other forces.
Quantization of gravity introduces fundamental theoretical issues.
Recent cosmological data offer new insights into quantum gravitational effects.
Abstract
I give a pedagogical explanation of what it is about quantization that makes general relativity go from being a nearly perfect classical theory to a very problematic quantum one. I also explain why some quantization of gravity is unavoidable, why quantum field theories have divergences, why the divergences of quantum general relativity are worse than those of the other forces, what physicists think this means and what they might do with a consistent theory of quantum gravity if they had one. Finally, I discuss the quantum gravitational data that have recently become available from cosmology.
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