People often talk about mathematics as a sort of language. Languages are known to have near-universal regularities, which brings up the question of whether the mathematics that we use in physics has similar features. According to a new study which just appeared, this is indeed the case: The maths of natural laws has a hidden law itself.

youtube.com/watch?v=ZT1MVkKLZh

Paper:

arxiv.org/abs/2408.11065

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@corlin

βœ‹ I have questions. βœ‹

Godel's Incompleteness Theorems is the crux of my question.

Doesn't Godel's Theorems combined with "The maths of natural laws has a hidden law itself" sort imply that the hidden law may just be an artifact of the incompleteness of the underlying natural laws?

sort of like Euclid's 5 postulate is the one that, once you realize you CAN modify it, the "regularities" you thought you found in Euclidian space turn out not to be true "reality"?

@XSGeek

Ya Betcha
I do also.

"Again, this is a matter of convention, however, its effect
on the overall distribution of operators is small."

The symbol, is not the thing. Like pareidolia, repeated patterns in symbol use, look real, but ain't.

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