David Quintero on Nostr: I have a doubt (actually, I have many doubts, but let's go step by step beginning ...

I have a doubt (actually, I have many doubts, but let's go step by step beginning with a #physics doubt):

Every equation written with classical vector calculus can be translated into tensorial form (and many times, it's desirable). But can every equation of physics written with vectors (or tensors) be also expressed with differential forms?

I always see differential forms in the context of electromagnetism, classical mechanics, and (rarely) thermodynamics. But differential forms are essentially absent in areas like fluid dynamics (how many times have you seen the Navier-Stokes equations written with differential forms?), optics, and other areas of physics.