"Find a way to connect quantum maths with special relativity maths Waves hands, and make no mistakes"

"Prove or disprove string theory in pure mathematics, reply in Caveman speech"

That is solved https://en.wikipedia.org/wiki/Dirac_equation

All the news from the CERN including the Higgs boson include under the hood those transformation or a slightly more modern variant.

The hard part is mixing General Relativity and Quantum Mechanics.

>Find a way to connect quantum maths with special relativity maths Waves hands, and make no mistakes

I think you mean general relativity, connecting quantum mechanics with special relativity is just QFT