If you think "souls" have some physical mechanism then they are not souls by the definition I am using. We would then agree, though I do not yet think we have found reason for new physical laws to be required, however that can of course be a possibility.
It should have been clear from our discussion when I said "souls" I meant belief in the non-physical. Magic juice in the brain that is unexplainable by physics at all.
Being unexplainable by current physics but explainable by future physics is not a "soul" by that definition.
Go ask the people who believe in it. I for one cannot understand how something aphysical can affect our thoughts and decisions. But some think consciousness resides outside of physical systems entirely.
Not my words.