Thus, teleology and mechanism are two projections of the same reality. Instead of being contraries, they are complimentary -- related as ends and means. Mechanism fixes on means, teleology on ends. — Dfpolis
So, I'm using "logical" to refer to the information (intelligibility) specifying a state, whether that state be physical or intentional. "Logical Propagators" in nature, then, transform the intelligibility of one state into that of another. — Dfpolis
I think I agree on these points. So we may be arguing towards the same general picture. Reading your other replies, I am clearer now that you want to focus on your logical propagator story.
Broadly I take a view on causality that is Aristotelian and Peircean. Which then cashes out in the kind of current physicalism which sees information and entropy as bridging the old mind-matter divide.
So we do have an information theoretic turn in fundamental physics that takes a constraints-based view of natural laws. The laws exist emergently and immanently as contextualising states of information - the holographic principle. And then material events are the observable concrete happenings that emerge locally as actualised states of being.
Being the informational side of the equation, the constraints on a system embody the downward acting formal and final causes. So we can speak of logical propagators as representations of intentions.
Talk of an "informational realm" is pretty general. Having established it as a legitimate part of modern physicalism, the issue becomes how to describe the structure of the realm. And it is pretty standard to apply logic rather directly to our ontological modelling. You have quantum information approaches where the issue becomes how can one ask two opposing questions of reality at the same time. You can inquire about the location of an event, or the momentum of an event, but not get a complete answer on both in just a single act of measurement.
So yes. Seeing reality as being shaped top-down by an intelligible or logical structure is the new metaphysical perspective I would say. Plenty would believe the Universe is a computer, even.
But then your proposal strikes me as having a particular problem. It seems to have to presume a classical Newtonian backdrop notion of time - a spatialised dimension. And modern physics would be working towards an emergent and thermal notion of time as a better model. So any logical propagator would have to unfold in that kind of time, not a Newtonian one.
On the other hand, the classical is what does emerge in a coarse grained fashion. So, with care, a Newtonian notion of time, and hence of logical intentions unfolding in time, does make sense.
And that is again where I would insist on a clear distinction in terms of history vs anticipation.
Brains are the kind of devices that can record personal memories. So they can form a prediction, expectation or goal and remember that in such a fashion that the information does act to constrain future eventualities. You get the clear intentionality of Mary planning to speak in the room tomorrow and all that logically follows from her having that intention today - and being likely to still be in a similar state of mind tomorrow.
But the bare physical world - the world that does not have this kind of anticipatory intentional modelling of its tomorrow - has only its tendencies, not its plans. So it is "intentional" in an importantly different way.
Yes, the full physical description needs to recognise final and formal cause. And an information theoretic perspective now gives physics a suitable mathematical, or logical, framework for describing the world as being constrained by its history - its "memory" in terms of holistic informational states. We can see how "law" gets baked into the fabric of the Cosmos as a fact of its dissipative development. It evolves a structure that stands as a context to all further material events. All this is a great advance on the old notion of transcendent laws floating somewhere above everything they regulate in some kind of eternal and perfect fashion.
Yet still, Mary can today form a plan of what she will do tomorrow. But an iceberg or hurricane can only form a propensity. A small hairline fracture in the melting berg today is possibly highly likely to be the vast chunk that calves off tomorrow.
We could even model that in terms of deterministic Poisson statistics. Likewise we can predict which way the hurricane is likely to swerve as it knocks about the Carribbean islands. There is a statistical band to which it must be constrained - given a set of measurements we might obtain to day to encode an informational picture of it in terms of a set of dynamical parameters obeying some intelligible framework of state-dependent laws.
So physics is certainly made intelligible by its propensities. The today does actually constrain the tomorrow. And that is the best we can mean by formal/final cause as even human intentionality is only ever an intention. Things can go awry for Mary in ways she didn't expect. Worst of all is that she might not even remember.
So everything can be brought back to the notion of constraints. And how that is then neatly matched by the capacity of reality to surprise. Spontaneity can be limited and yet not eliminated. A physicalism based on information and entropy is then in a great position to model that. Entropy treats the material now as uncertainty, surprise, fluctuation, or other action in want of a shaping, constraining, hand.
The ship of science is thus better balanced. The old materialism did make the mistake of reification - seeing matter in fallaciously concrete terms. An entropic view of materiality reduces it to random fluctuation - something that would be nothing if it weren't taken in hand. And then bringing in an informational view of the physics allows for the explicit modelling of the formal/final causes that do the hylomorphic shaping of the active material potential into something that is reliably substantial.
Again, if the back story is understood in that light, then I think I can see where you are going with logical propagators. However the sharp distinction between ordinary physical systems, and living/mindful organisms, must still be maintained when talking about "intentionality".