Continuity/Locality and Discreteness/Nonlocality

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Is there a relationship between Continuity and Locality? or between Discreteness and Nonlocality?

For example can we say that, if space time is continuous then, principle of locality must hold? Similarly, can one say discreteness of spacetime leads to nonlocality?

I don't know why, but I feel like there is a relationship between these. Can anyone inform me about these issues?
 
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Thread 'Dirac's integral for the energy-momentum of the gravitational field'

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