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> Is it simply unwillingness to accept for world as we live know some parameters of the world like particles masses are not that independent from each other?

Based on what I understood from Sabine Hossenfelder's writing, yes, that is a big chunk of modern physics. One example is "the naturalness problem", that some base parameters of the SM are orders of magnitude larger or smaller than other ones - which is of course entirely possible as a fact of nature.



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