Discrete Quantum Gravity Is Not Isometric

Details Discrete Quantum Gravity Is Not Isometric Discrete Quantum Gravity Is Not Isometric

2011-09-05

arxiv.org/abs/1109.0952v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

withdrawn because Theorem 4.1 is false

Scientific paper

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 {\mu} (or equivalently the decoherence functional) is generated by an isometric dynamics, then there is no in- terference 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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