Ben – that is ziyuf hatorah, baseless and contrary to what the rishonim say across the board. We’re talking about chochmos, established wisdom – the rishonim refer to math, etc… you’re not allowed to have a kevius in them because it’s an affront to Torah.
In chazals time there was plenty of empirical study, too.
It’s assur. The rishonim say it, like the rashba and rivash above – and they had plenty of science in their time too.