What is the consensus on whether or not nature actually has functional infinities such as an absolute singularity, or the multiverse itself as a whole, or even some potential for reality always existing in some state (a context from which spacetime or other can emerge).
Given renormalization for instance to deal with infinities that come up in quantum mechanics, does the act of doing so mean we don't think those can actually be a physical reality?
Sensible physicists never believe idealized mathematical models. We employ them to capture (sometimes extremely successfully) aspects of real phenomena, but mathematics isn't real. It exists only in the human mind.
Experience suggests infinities aren't real. Misuse of The Partition Theorem implied runaway energies at certain frequencies due to heating, The Ultraviolet Catastrophe. By some primitive analyses, the night sky should be super bright. It isn't because the universe is expanding and its age is finite. Infinities disappear in QFT, giving us the most accurate theory we have. The infinities at the event horizon of a black hole vanish with a change of coordinates.
As to arguments that infinity exists with some physical manifestation, the center of a black hole has infinite density, but there's reason to believe that is suspicious apart from suspicion of infinities. General relativity is silent on the uncertainty principle which is a bad sign. Apparently some physicists believe the singularity truly has infinite density.
Due to a theorem from Paul Dirac, if there is a magnetic monopole anywhere in the universe, it is expected that electric charge would be quantized. If it doesn't matter where that monopole is, does it suggest it's effects propagate at infinite speed?
