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Even upon reading around half the paper, I did not find the answer to one of the questions that came to my mind while reading the first few pages.

Somewhere in the first few pages (Section 0, 1 and 2), it was written that (from my memory)

"This should not be taken as simply making points on spacetime discrete (although this has already been attempted) but rather to smear the discrete points out, in a manner similar to the one found in Quantum theory for several state variables."

So, I presume there must be some wavefunction describing the points on spacetime. I am guessing something like

[tex]\Psi=\cos(2\pi x_0)\cos(2\pi x_1)\cos(2\pi x_2)\cos(2\pi x_3)[/tex]

in 4 dimensions using natural units:

[tex]\ell_p=ic_0t_p=1[/tex]

Am I right or is the wavefunction something else? Or is this smearing out described without using a wavefunction.

Thanks in advance!