/sci/ - Science & Math

>>9582816
>So all physicists should study TQFT
They "shouldn't", but they do by definition of physics. There's also string theory of course, but conjecturally it's just a degenerate case of AQFT over exotic space-times.
>you seem to be incapable of sharing that insight in a relevant and constructive way
It's relevant to any physicist. Maybe you should try actually studying some physics instead of hiding behind walls of notation and abstractions? Try reading some mathematically rigorous books before you make such remarks. And how is my post non-constructive? TQFT may be developed in the external language of any generalized physical space, so it's a constructive theory.
>>9583844
This. I'm working in TQFT. Currently trying to find an elementary proof of the cobordism hypothesis without using absolute algebraic wank like globally-étale Grothendieck-Serre "stacks" (which I despise, as they are non-empirical). I and many Mathematical Physicists want the cobordism hypothesis to be the cornerstone of something concrete (i.e. TQFT).
>>9583162
>how can you guarantee that a rotation of an isotropic vector is also an isotropic vector?
Just use the Whitehead-May-Leibniz conjecture applied to the special case when the rotation can be computed using the crystalline cohomotopy rings of the underlying field. It's not mathematically valid, but it matches our current physical intuitions.