**"My question here is Does absolute ramdomness ever occur in the physical world?"**

Yes. Spontaneous particle-anti-particle creation and annihilation in a vacuum is random. So is the precise location of an electron in an atomic orbit.

At the macroscopic scale though, there isn't much that is truly random. It's just a function of large amounts of variables and interactions.

Then I suppose one could argue at what level of complexity does a system need to be such that it is indistinguishable from randomness?

On the bright side, even a system that appears indistinguishable from randomness must obey the laws of probability. So measure of probability like variance, standard deviation, and the like would still apply.

I'm still of the opinion that the markets still have enough obvious influences that it is not 100% random.

~X~