If you think current physics is insufficient but future physics might be sufficient, I can accept that but its still an unfounded belief. If you truly believe something "more" is needed, then you are placing a bet that always lost for centuries. Bets in anything supernatural or aphysical have always and consistently failed till now.
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.