Discrete Quantum Gravity Is Not Isometric
General Relativity and Quantum Cosmology
2011-12-06 v2 Quantum Physics
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 {\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.
Cite
@article{arxiv.1109.0952,
title = {Discrete Quantum Gravity Is Not Isometric},
author = {Stan Gudder},
journal= {arXiv preprint arXiv:1109.0952},
year = {2011}
}
Comments
withdrawn because Theorem 4.1 is false