Could There Be Distances Beyond Planck Length in Discrete Space?

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Discrete space has been proposed at Planck length. But has any other distance been proposed(studied), like near proton width.
 
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Discrete space time means that energy and momentum are only conserved modulo the inverse lattice spacing.
 
Count Iblis said:
Discrete space time means that energy and momentum are only conserved modulo the inverse lattice spacing.

Yes, but my question was about if anybody tried or thought that the Planck length might not be the only length possible. Since, as Susskind puts it the desert from TeV to 10^19 GeV. Of course, I know the rarional for Planck length case.
 

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