I've been reading Zakopane lectures on loop gravity lately and I only understood a very small part of it, but from the little I understood, I'm wondering if loop quantum gravity isn't close to describing the universe as some kind of cellular automaton.
The paper talks about space-time being considered as composed of grains connected by a graph. The way I understand it, the grains have a minimal size and can grow by steps (similar to the energy level of an electron in an atom). The size could be considered as a property of the cell (that would have many others).
A cell can impact the ones next to him and the effect of the 'content' of a cell can therefore propagate around it.
Of course, the automaton would have to be 'quantic' in the sense that its properties could be a superposition of states.
I don't have (yet ?) the understanding of the concepts of LQG to determine whether or not this would be a silly way to formulate the theory or not. Searching for it on Google, I found a few pages mentionning both terms in bold above but always as two distinct models (or even in different articles of a same site).
Has there been some studies on formulating loop quantum gravity as a cellular automaton ? Would it even make sense ?