Physics cannot address the question of free will at all, as all our experiences tell that at least globally universe is 100% deterministic. So one need to go beyond physics to address that.
This is similar with the notion of time. A typical perception is that only now exists. Yet according to physics there is no now. All our physical models based on experience imply that the universe is 4-dimensional static something. There is no now and all points across the time dimension have same properties just as points across space.
One needs metaphysics to try to explain this discrepancy between perception and very successful physical models.
> as all our experiences tell that at least globally universe is 100% deterministic.
I'm not sure what you mean by this so I'm also not sure how to address it, but it does seem reasonable to assume free will simply does not exist exactly because phenomena is either deterministic or stochastic, not some third option which would allow free will. This view is informed by physics.
> There is no now and all points across the time dimension have same properties just as points across space.
This is a much more interesting problem and one that has kept me up many times.
I meant all our fundamental physical models are fully-deterministic globally. The only exceptions are singularities of General Relativity, but even for those the believe is that a proper accounting of quantum effects should resolve this. We build those models based on experience. So here is comes the contradiction with personal perception. One can always say that it just implies that free will is an illusion. But as there are other ways to resolve this that keeps free will and are compatible with apparent determinism of external world, the inevitable conclusion is that physics cannot resolve the issue of the free will.
As for the problem of now, for me it is similar to the problem of free will. Starting from Parmenides and Buddha one way to resolve this was to declare that the perception of now and movement is an illusion similar to the notion of free will. And as with free will, that will be compatible with physical models and the opposite cannot be expressed within physical models.
This is similar with the notion of time. A typical perception is that only now exists. Yet according to physics there is no now. All our physical models based on experience imply that the universe is 4-dimensional static something. There is no now and all points across the time dimension have same properties just as points across space.
One needs metaphysics to try to explain this discrepancy between perception and very successful physical models.