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Reality, as best we understand it, is very much not discrete, and space is not split into chunks at the Planck length.

A discrete space-time would likely mean observable Lorentz-violations.



Discrete spacetime does not necessitate a regular and nicely ordered tesselation, it could be pure chaos or be non-geometric.

Before we thought that energy, mass and matter were completely continuous and that turned out to be wrong.




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