This is an esoteric discussion that is my fault for beginning. But, I argue that all information is what a sapient being infers from the world around it. There is no information in gravity. That there is an inverse square law involved isn't coded into gravity. It is a modelling in our brains that allows us to predict orbits, etc.
The inverse square (if that is the thing I should be thinking about) exists in our brains. Information is us storing in our brains what we know. The information doesn't reside in this or that mass. It resides in our brains.
ETA: Reminds me of this quote from Hogfather (Terry Pratchett)
“All right," said Susan. "I'm not stupid. You're saying humans need... fantasies to make life bearable."
REALLY? AS IF IT WAS SOME KIND OF PINK PILL? NO. HUMANS NEED FANTASY TO BE HUMAN. TO BE THE PLACE WHERE THE FALLING ANGEL MEETS THE RISING APE.
"Tooth fairies? Hogfathers? Little—"
YES. AS PRACTICE. YOU HAVE TO START OUT LEARNING TO BELIEVE THE LITTLE LIES.
"So we can believe the big ones?"
YES. JUSTICE. MERCY. DUTY. THAT SORT OF THING.
"They're not the same at all!"
YOU THINK SO? THEN TAKE THE UNIVERSE AND GRIND IT DOWN TO THE FINEST POWDER AND SIEVE IT THROUGH THE FINEST SIEVE AND THEN SHOW ME ONE ATOM OF JUSTICE, ONE MOLECULE OF MERCY. AND YET—Death waved a hand. AND YET YOU ACT AS IF THERE IS SOME IDEAL ORDER IN THE WORLD, AS IF THERE IS SOME...SOME RIGHTNESS IN THE UNIVERSE BY WHICH IT MAY BE JUDGED.
"Yes, but people have got to believe that, or what's the point—"
MY POINT EXACTLY.”
Nor will you ever find an atom of information.