but there is complete randomness according to physics. take an electron's path. there's an area its most likely to be found in, but within it it is completely random. It's where resonance structures come from and why aromatic rings are so uncharacteristically stable etc. At least as far as we know its completely random

Also, there are too many variables in the universe for our meager little minds to be able to understand especially the entire relationship between everything in the universe. So to think we'd be able to make a universal equation is a stretch.

Take the Heisenburg pricipal the part where you can't tell an electrons speed and position at the same time. You can tell one or the other. Reason being is the tools used to measure are is light and that itself in little packets bombards teh electrons. Its like trying to see where and how fast a person is running from too, while using hurling bowling balls at them. Physics knows it can only understand so much. So even with something as simple as an electron we cant even do all of the variables at once.

While i'm not saying your arguement is or isnt valid, i am saying that in most likelyness, if there even is an equation for the universe we 1. probably wouldnt be able to study it esp with the means we have and 2. our little minds would have a hard time grasping it. and since your idea is based on the ability to be able to search for this equation and the outcome intelligent design vs not then depends on the outcome of that search. It doesnt really work b/c the ability to search for that equation doesnt exist yet.