The canonical formulation of general relativity is a completed project, carried out in a variety of ways using compact spaces, non-compact spaces, and a range of canonical variables.
(one type of mathematical framework used to describe general relativity)
In mathematics, spaces that are finite and closed in on themselves, like the surface of a sphere with no edges or holes.
General relativity(as used in physics)
Einstein's theory explaining how gravity works by describing space and time as flexible, bendable things affected by massive objects like stars and planets.
Non-Compact Spaces(another type of mathematical framework used to describe general relativity)
In mathematics, spaces that are infinite or unbounded, like an endless flat plane that stretches forever.
However, this encodes several pieces of misinformation making it hard to make sense of the claim that general relativity and canonical theories cannot be “reconciled”. The canonical framework is simply a tool for constructing theories, and one that makes quantization an easier prospect. As a matter of historical fact the canonical formulation of general relativity is a completed project, and has been carried out in a variety of ways, using compact spaces and non-compact spaces, and with a range