but... that’s math not physics...
See physics is the language, numbers are the alphabet, and math constructs the sentences.
Engineering and chemistry is application of the language - books, plays, songs, conversation if you will.
Most of the other sciences are either subsets of engineering and chemistry or provide categorizing and labeling. Sort of a dictionary/encyclopedia (botany for example).
Stated another way. Prove that a vacuum interfacing with a vacuum results in something other than a vacuum.