I posited that if you can observe and reconstruct the entire state of a complex system then you can predict future states- score one for determinism and no free will. But, we know there exists places that we cannot directly observe or perceive, aka quantum uncertainty, represented by σxσp ≥ ℏ/2 [1].
So based completely in theory, I figure the only way we square FW & determinism, is that free will exists somewhere/in a form we cannot directly observe, and it manifests as tiny influences that add up, in the complex system that is a brain.
This is the way more speculative part and it's more fun than anything to think about- it doesn't change the way I live my life buuuut-
Folded brains dramatically increase the influence a given region in space-time can have, simply due to the increased number of neurons. So our brains double as an antenna for some unseen influence that manifests through quantum uncertainty.
So when I explained this to ChatGPT it told me that OORT was very similar to this, but even the mechanism they use for it seems to be a stretch for me.
edit: But I do think that in order for neural networks to become anything other than outwardly really really good approximations of human minds, there needs to be a way to introduce a small amount of genuine randomness into their calculations, without utterly breaking them. I could see early attempts at doing this causing a form of LLM schizophrenia because the neural network wasn't resilient enough to the induced error.
[1] the standard deviation of position σx and the standard deviation of momentum σp is greater than or equal to half the reduced planck's constant