"Discrete Quantum Gravity Is Not Isometric" by S. Gudder
 

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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