"but it cannot be proven"

Proof is for alcohol and geometry.

"but is corroborated by the witness of countless throughout human history, and confirmed by continued personal experience."

Scientists - not Teh Scientists™ - but Scientists do not believe that natural laws are immutable. The Science is never settled.

If they could be settled, then Proof would indeed be how we acquire new scientific knowledge. We acquire new scientific knowledge by means of Evidence.

This has been _my_ personal experience.