Triple Interference, Non-linear Talbot Effect and Gravitization of the Quantum

Understand

Recently we have discussed a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea of gravitizing the quantum.

• In this paper we elaborate on a specific test of this new approach to quantum gravity using triple interference in a varying gravitational field.
• Our discussion is driven by a profound analogy with recent triple-path interference experiments performed in the context of non-linear optics.
• We emphasize that the triple interference experiment in a varying gravitational field would deeply influence the present understanding of the kinematics of quantum gravity and quantum gravity phenomenology.