Could Discrete Spacetime Redefine General Relativity in Cosmology?

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Richo
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Would general relativity (axiom: spacetime is continuous) still work if we changed the axiom to:
spacetime is discrete (but each individual chunk of it is so incredibly small* relative to a quark or gluon
that it makes no difference)?

*e.g. 3D's of Planck length, 1D of Planck time
 
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I was advised to use a Homework forum. If this is inappropriate, please advise if you know the right forum for me to pose such questions.
As a senior in retirement, physics is my 'home work' but not my 'homework', sorry.