Information thermodynamics is a fertile research field that gave us a lot of insight into physics, and also chemistry and biology. Beyond solving Maxwell's daemon (one of the early clues that information is physical and intricately linked to thermodynamics) experimentally, we can also build tiny machines fueled by information, so called information engines.
I'm not sure how this relates to quantum gravity, I think that one is going to be harder to figure out.
I think by considering gravity, space and time somewhat differently.
We use terms like “speed of light” when what we actually mean is “speed of information”.
We use terms like “speed” to describe ds/dt, but again, that may be a result of our perception rather than a relevant physical phenomenon.
We look at mass, and describe things as having, well, mass - or energy - but what they actually have is information.
So, for gravity, quantum gravity, I think it’s more about a shift in perception (what is this “force” thing anyway?) than necessarily new science or techniques at this point. I mean, you could look at it as “more information in a given region of spacetime induces a computational overhead due to network effects, which slows time locally respective to an external observer, resulting in an apparent “gravity” force across the time differential”.
I'm not sure how this relates to quantum gravity, I think that one is going to be harder to figure out.