I think it's a fascinating idea and something like that instinct has a "there" there. I suspect that, as another commenter is noting, you probably lose too much information in most cases, but it's intriguing enough to merit consideration.
I think I'm sympathetic because I have a version of that too - I'm curious about the idea that the earth's light, sent out into space, may in some instances be recoverable due to spacetime curvature sending old light back to us. Imagine seeing a stream of light livestreaming what the earth looked like millions of years ago! But my understanding is that light spreads out more and more the further it goes so it's not likely to hold together as a decipherable image, but I still wonder about a middle ground of what might be partially recoverable.
This research project therefore entails spreading some gooey substance on the trees in a forest, playing some known voice recording or songs, letting the gooey substance harden, and then training the AI model to look for that signal.
You know someone's gonna do this someday.
Take sound waves. When they come into contact with matter, most of the waves energy turns into heat, yes? But might a mechanical imprint be made onto a surface? For example tree sap that hadn't yet completely solidified. Could we resurrect the roar of a dinosaur?