Although we have been thinking about the matter for at least 12000 years we have no reasonable theory for things that aren't matter or energy that isn't hand waving and nonsense. The most prevalent current theories are extrapolations from what goat herds who believed illnesses and earthquakes were caused by evil spirits.
As an example most people would agree that chemistry is just applied physics but most people don't do substantial chemistry by simulating all the particles involved not because they believe that chemicals are somehow magical in a way that isn't capturable by physics but because its challenging and intractable.
Further if we did arrive at some theory that described qualities and entities not presently qualified by physics those things including souls would become part of the universe because the term universe grows to encompass everything we presently understand.
The logical conclusion is that a soul if it did exist would be made of matter/energy/information like everything else that can possibly exist.
It would of course be truly shocking if a heretofore incompressible aspect of the universe just happened to mirror thousands of years of superstition.
It would be like if we travelled to another star system and found its denizens were the cast of Harry Potter complete with billions of years of history culminating with a multipart war against Voldemorte.
If you want to posit things out of scope of present understanding you ought to provide some support for them which is notably absent from the above hand waving.
I await an interesting reply but fear it will merely be a critique of my small minded instance that debates consist of facts and arguments.