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## Main Question or Discussion Point

It is a common theme among background independent quantum gravity theories that there should be some sort of discretization, or fuzziness, of the spacetime manifold occuring on Planckian scales.

It has occured to me that if we take this discretization to consist of a lattice of sorts, might matter on this spacetime not be described via some sort of lattice excitation or vibration, in the same way that vibrations of a crystal lattice allows a particle description (i.e. the phonon)? Of course one would have to figure out, for example, how these excitations could induce a global curvature to the manifold, etc. But even so, it seems to me an interesting idea.

I was just wondering if anyone here knows of any research that has been done regarding this idea, or has any insights they with to discuss. I would love to see if anyone has worked on this.

Thanks!

- Eric

It has occured to me that if we take this discretization to consist of a lattice of sorts, might matter on this spacetime not be described via some sort of lattice excitation or vibration, in the same way that vibrations of a crystal lattice allows a particle description (i.e. the phonon)? Of course one would have to figure out, for example, how these excitations could induce a global curvature to the manifold, etc. But even so, it seems to me an interesting idea.

I was just wondering if anyone here knows of any research that has been done regarding this idea, or has any insights they with to discuss. I would love to see if anyone has worked on this.

Thanks!

- Eric