It is my understanding that cosmology simulations largely implement general-relativity, taking quantum-effects into account merely by setting the fluctuations in the initial conditions. In the real world, however, quantum fluctuations occur all the time. I'm wondering how far back to quantum fluctuations determine star and planet formation.
Stars form around random higher-density patches in interstellar dust. Are post-big-bang quantum effects enough to randomly generate or move such density fluctuations, and thus determine which nucleus stars will accrue around? Can they determine which planets will form? Or are all these things truly set by the initial conditions, as the simulations apparently presume?
My suspicion is that quantum fluctuations do determine which stars will form and the details of their planets, but I wasn't able to find any professional sources on the issue.