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> that the world is fundamentally analog

Isn't that still an unresolved question? Wave-particle duality and all that.

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I think there are some theories that the universe is fundamentally discrete at the lowest level below current capabilities of measurement, but to my knowledge none of those is widely accepted.
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> that the world is fundamentally analog

Whether the world is discrete or analog is still an open problem in science. And it looks as if there is more and more evidence that the world is actually discrete at the quantum level.

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There is no such evidence. The widely accepted models of physics are all continuous. If you see headlines like "physicists think our world might be discrete" please read them as "scientists cured cancer in mice".
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