Discrete Quantum Gravity Is Not Isometric

Authors

S. Gudder

Publication Date

2011

Document Type

Article

Keywords

Discrete quantum gravity, Isometric dynamics

Abstract

We show that if a discrete quantum gravity is not classical, then it cannot be generated by an isometric dynamics. In particular, we show that if the quantum measure µ (or equivalently the decoherence functional) is generated by an isometric dynamics, then there is no interference between events so the system describing evolving universes is classical. The result follows from a forbidden configuration in the path space of causal sets.

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