...there is something at work in chess that is not just about calculation.
I have trouble believing that you honestly believe this.
Surely our ability to build complete five, six and now seven peice tablebases is compelling evidence to the contrary.
Is there something fundamentally different between the game with seven peices verus with eight that makes luck a factor in the latter and not the former? Does this somehow mysteriously change when we acheive a complete eight peice tablebase? If not, at what point between nine and 32 does it change?
Well, it changes exactly at the point where everything can be calculated: if it can be, that is complete information fully taken advantage of, and thus devoid of luck, but if it cannot, it still doesn't know all of the information and so is flawed and can make decisions for poor reasons, which again may or may not be punished.
"An inability or failure to understand the underlying deterministic causality behind an effect does not mean that it does not exist and the effect is therefore non-deterministic"
Why not? I mean yes, the game is deterministic, but in practice our flawed understanding of it creates luck, for reasons already mentioned. If luck was not involved, then should not the stronger chess player never lose to the weaker player (assuming no huge intangible factors at work here), as the stronger player simply must play higher quality moves? Yet sometimes the weaker player plays a crazy move for the wrong reasons but turns out to be really good! Neither player could forsee the truth behind it, but the weaker player still came out on top.
i say it does. the only luck in chess is your opponant not identifieing your tactic.