The gravitational cosmic Galois group conjecture

Let quantum gravity theories be theories whose gravitational path integrals include sums over spacetime topologies, and let gauge redundancies associated with topology change denote the redundancies underlying those sums. Gravitational cosmic Galois group conjecture. There exists a gravitational cosmic Galois group that underlies the gauge redundancies associated with topology change in all quantum gravity theories. This conjecture proposes a quantum-gravitational analogue of the theory-independent cosmic Galois group associated with perturbative renormalization and the absolute Galois group; the paper presents it as a speculation, and no resolution is given.