Re:Monumental advance in number theory posted to the ArXiv b...
by romwell on Tuesday November 08, 2022 @05:37AM
(#33517823)
There are plenty of unexplored things in physics too; the key word is "respectable".
Looking from the outside, physics suffers a lot from fashion/hot trend tendencies, where you need to be doing the "hot" thing to make the jumps necessary to the coveted Tenure Track — and otherwise, you get kicked out.
It's not that math is vastly larger (or more sophisticated) as a field. Both fields infinitely large in many senses. Rather, the number of respectable starting points where you can do interesting things is much larger, orders larger in math.