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2018

Ultralocal nature of geometrogenesis

Mandrysz, Michal, Mielczarek, Jakub

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In this article we show that the ultralocal state of gravity can be associated with the so-called crumpled phase of gravity, observed e.g.

in Causal Dynamical Triangulations.
By considering anisotropic scaling present in the Ho\v{r}ava-Lifshitz theory, we prove that in the ultralocal scaling limit ($z \rightarrow 0$) the graph representing connectivity structure of space is becoming complete.
In consequence, transition from the ultralocal phase ($z=0$) to the standard relativistic scaling ($z=1$) is implemented by the geometrogensis, similar to the one considered in Quantum Graphity approach.

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