Is the Born Rule Unstable in Quantum Gravity? Speaker(s): Antony Valentini
Abstract:
We argue that in quantum gravity there is no stable equilibrium state corresponding to the Born rule. Our main argument rests on the continued controversy over the physical meaning of the WheelerDeWitt equation. We suggest that attempts to interpret it are hampered by the conventional assumption that probabilities should be governed by a fixed Born rule. It is possible to abandon this assumption in a de BroglieBohm interpretation. We argue that a stable Born rule emerges only in the limiting Schrödinger regime in which the system is described by an effective (timedependent) Schrödinger equation with an appropriate conserved current. We consider a regime in which quantumgravitational corrections to the Schrödinger equation induce a nonconservation of the standard current. Such a regime can be consistently described in de BroglieBohm theory. As a result, quantumgravitational effects can generate nonequilibrium deviations from the Born rule even starting from an initial equilibrium state. We provide estimates for such effects in an inflationary de Sitter background. Date: 15/02/2018  2:30 pm
Series: Quantum Gravity
