Depends what you mean by proof. In science you can. The famous Michelson–Morley experiment 'proved' there
was no aether, the black body radiation problem was an indication that classical physics was wrong..
(I know you deny such things - but if classical physics was right a small log fire would incinerate the house...)
I put scare quotes around 'proof' - unscrupulous people like tobacco executives (errr.. and others!) can use this ploy to discredit the science which 'proves' a link between smoking and cancer.
As for maths 'proving'. No - mathematics makes models. Some fit observations better than others. There are models where the earth is at the centre and planets move in circles. Others like Newton's mathematical model. There certainly are models for dark matter and dark energy, the point is do they model reality.
So you made the claim - the burden of proof is yours to make.
"so anyway, you cant prove a negative," So you cant prove you are not a ______________ fill in the gap.