>tfw physics major
>tfw thought up about amazing physics ideas in the shower
>tfw never tried to prove them mathematically
>tfw forgot them
If you're doing physics and trying to prove your ideas rigorously then you're doing physics wrong. Honestly I can't name the last advancement in physics that was mathematically rigorous.
Not that I'm saying there's anything wrong with rigour, but as a physics major that's not something that should be your primary concern, unless you're doing postgrad in mathematical physics.
>tfw no experimental step but we still pretend its science