What would be if we could record all the quantum behaviors (momentum, rotation, translation, etc) of atomic (or subatomic) particles over a certain period of time (long enough) and the values of the interactions between each other (attraction, repulsion, etc)
This is already not possible. Not just in practice, in principle. What would you be recording them WITH? What would you be measuring them WITH? Well... presumably, other things made up of quantum objects. So are you recording the quantum things in the environment, AND ALSO recording the quantum things in the measuring devices? I propose to you that you cannot do all of that, in any world, no matter what. You cannot record EVERYTHING that happens physically inside this universe using only other stuff inside this universe.