I understand the concepts here in outline terms but the math and the really deep details are a bit beyond me. Does this mean there is effectively an information

I understand the concepts here in outline terms but the math and the really deep details are a bit beyond me. Does this mean there is effectively an information to energy equivalence like there is for mass and energy (E=mc^2)? If so that seems rather profound, and seems like it would trivially let you complete the triangle by deriving mass-information equivalence from information-energy equivalence by substituting mc^2 and solving for m. Has anyone ever tried to do that? I'd be really curious to see those equations!