Doing math without math Ph.D.

You will do mathematics without having Ph.D. in Math. This certainly creates a problem.     This situation is common in human culture, see e.g. Kikuchiyo-sensee in Seven Samurai. It is like being a triangle among circles. Circles are mathematicians, and the triangle is a mathematical physicist. (Letter た probably stands for our rice field, i.e. mathematics.)

This problem will be alleviated when my point of view (1) prevails.