Earlier quoted context omitted.
And what is compression but finding the minimum amount of information required to reproduce a phenomena? I.e. discovering natural laws.
Finding minimum complexity explanations isn't what finding natural laws is about, I'd say. It's considered good practice (Occam's razor), but it's often not really clear what the minimal model is, especially when a theory is relatively new. That doesn't prevent it from being a natural law, the key criterion is predictability of natural phenomena, imho. To give an example, one could argue that Lagrangian mechanics req…
The Newtonian model makes provably less accurate predictions than Einsteinian (yes, I'm using a different example), so while still useful in many contexts where accuracy is less important, the number of parameters it requires doesn't much matter when looking for the one true GUT.
My understanding, again as a filthy computationalist, is that an accurate model of the real bonafide underlying architecture of the universe will be the simplest possible way to accurately predict anything. With the word "accurately" doing all the lifting.
As always: https://www.sas.upenn.edu/~dbalmer/eportfolio/Nature%20of%20...
I'm sure there are decreasingly accurate, but still useful, models all the way up the computational complexity hierarchy. Lossy compression is, precisely, using one of them.