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Our model for everything in the universe is pinned at integer values. I think that's gp's point.

No, the physical evidence shows that everything in the universe is pinned at integer values in point of actual physical fact. It's not just our models. It goes all the way back to blackbody radiation and the ultraviolet catastrophe of the late 19th century. The evidence for QM is overwhelming. It's not just an artifact of our modeling.

The ultraviolet catastrophe is for sure a good example of this phenomenon.

What's the spin of an electron?

Yeah, so that's a core part of the unintuitiveness of Quantum Mechanics. Nature itself, it turns out, is fundamentally quantized. And also random too.

It objectively cannot be broken down into a continuum.

Neither of these are scientific conclusions — they’re philosophical positions built around an interpretation.

The sloppy way people present the Copenhagen interpretation as a scientific conclusion is likely what’s stalling science: it’s fundamentally built on an extraneous assumption, but everyone pretends their assumed interpretation is a conclusion.

We’re not gonna get progress until people assuming an extraneous assumption drop it and redo the last couple generations of physics to not depend on it.

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