What do you think it means that all our knowledge of the physical - SR, GR, QM, QFT, QG - boils down to what we can measure? The best we can do is say, I have this idea, this conception, of a quality. And here is the semiotic process by which you or I can extract a measurement during our interactions with Nature.
The very epistemology of science relies on the "non-physical" idea to ground any conception of the physics. And the measurement itself is just a further idea in that, in the end, we represent the measured state of the world as a number. We assign a value. At the very least, we tick a box to mark a presence or an absence. So the whole of the epistemic operation involves having an idea of what to look out for in terms of some system of signs, and reading those signs off the world, updating our conceptions of the world accordingly.
There seems some critical duality of matter and symbol, or matter and information, at work here, surely? We don't have direct access to the world - the Kantian thing-in-itself. We just have systems of thought where global conceptions are intimately tied to localised acts of perception. We understand our interactions with reality only in terms of a constructed realm of ideas encoded as signs.
This is the epistemic truth that ought not be buried. And that should be science's great strength - in being founded on the philosophy of pragmatism. It recognises that we only model the world and so, in the final analysis, construct a useful working story about it. Which in turn means - as we consider metaphysics, the ontological story of Being itself that we hope to tell though all our fundamental physical theories - that we have to incorporate this epistemic fact into any telling of that tale.
If we construct physics as a tale of the observables by placing the observer outside the physics - in some nonphysical realm! - then at what point are we going to finish the job and include that observer in the very tale we want to tell?
This is the deep dilemma that runs through all modern physics. It is also the problem for neuroscience. And Aristotle's philosophical pondering on time was pretty deep as it focuses on this as the issue.
He pointed out that change looks to be what we are really talking about. Things are not still, but dynamic. There is difference in terms of one thing becoming another thing. But that seems continuous. It is always the case. There seems some sort of constant flow where the past is fixed, the future opens up, and there is no now, no present moment, that interrupts.
But to measure time, we have to start counting intervals. We have to start numbering differences. And we want to number the past and the future in the same way - even if one is the already actualised, the other some kind of unactualised possibility. So we start counting time in terms of spatialised passage of moments. We impose a conceptual framework on our experience that allows us to imagine change happening "in time". There is a crisp stopping and starting to events.
Or critically, there is the stopping that is our ability to shout out "now!", while watching the hands sweep the numbered dial of a clock. A continuous world gets stopped, then started, then stopped, by a ticking second hand ... in the world that is now the one conjured up by our scientific imagination.
So I think you risk rushing right past the basic philosophy of science issues that any talk of "the physical" must answer. And Aristotle was certainly on to it.
Of course most serious philosophers have come around to materialism by now, agreeing with the central conclusions of modern neuroscience: the mind is a physical product of the brain, the operations of the mind depend on brain states, and consciousness cannot actually exist apart from a physical brain. — Uber
But a lot of folk still believe that consciousness is an informational, or indeed computational, state. It is a kind of form - in the Aristotelian sense even - in being accounted for by a functional ontology. Consciousness - in this view - would be multi-realisable. You could build a "brain" out of tin cans and string so long as it replicated the functionality that is the processing structure of the actual human organ.
So a really modern neuroscientific understanding would dispute this. Or at least, it would say there is something special about the hardware of brains that the hardware of computers lacks. Computers are machines and so depend on completely inert and stable parts. Bodies are organisms that depend on the opposite thing of all their parts being in a state of generalised critical instability.
That is how life and mind bridge the "explanatory gap" of causality. States of information can regulate states of material organisation because it takes virtually no effort to nudge an unstable system in a desired direction. The cell is a thermodynamic storm of material structure constantly about to fall apart. And life is the trick of just delivering the right well time nudges to, instead, keep it constantly falling back together. The mind does the same balancing act in terms of behaviour.
But anyway, the point is that some kind of dualism - that seems very much like a form vs matter, or non-physical vs physical debate - runs through both the epistemology and ontology of science. So any scientist, who cares about the big picture being painted, can't afford to simply brush away the issues as somehow anachronistic and not still top of mind.
The way we have constructed our own physical model of the world has ultimately left us standing on the outside of that construction. We got there by sharply dividing the observer from the observables.
And then our best neuroscientific theories have been probing what that means. And the upshot is the emerging dissipative structure or infodynamic view, where life and mind are understood semiotically as the informational management of material instability. Form shapes material plasticity to create substantial being - Aristotle's hylomorphic view of "the physics".
Then even fundamental physics is undergoing a revolution where information is being granted some kind of physical reality. It is intelligible form, structure or constraint that shapes plastic material potential. Again, Aristotle's hylomorphism is being cashed out finally. Or at least ontic structuralism is top of mind in fundamental physics.
As you say, the deep assumption seems anti-dualistic. Information and matter must together compose the one world somehow. The mind is somehow still a product of the brain (or the structure of the brain a product of a lifetime's habit of being mindful?). The Universe is still a product of local material events - even if in the end, there is nothing at all but the blackbody radiation sizzle of cosmic event horizons, the zero-degree excitations being produced by the rather immaterial holographic bounds of a de Sitter spacetime.
So physics wants to reject actual dualism, and yet it can't do without the dialectically divided. Just as the Ancient Greeks got science going by establishing the basic dialectical divisions of nature.
And so - as Peircean pragmatism argues - the only other choice is Hegelian synthesis. If you want one-ness, and have to get there by incorporating a two-ness, then the only way to resolve that is hierarchical three-ness. The holistic or systems view. Which again would be Aristotle's answer with hylomorphism.
So the marvel is how quickly the Ancient Greeks got down to the metaphysical basics. And science has been a long time working back around towards that ontological framework.