Hoffman and Prakash's 'Objects of Consciousness' (2014) defines a conscious agent as a six-tuple of spaces and Markovian kernels for perception, decision and action. Fields, Hoffman, Prakash and Singh's 'Conscious Agent Networks' (Cognitive Systems Research, 2018) extends the model, and Hoffman's ongoing program uses recursive structures on these kernels, trace-logic style constructions, to model agency and observer windows.
The folk version hears: science proves we are spirits in a cosmic mind. The math gets quoted as vindication for everything from idealism to the afterlife, usually by people who have not opened the papers.
The structural reading: for four centuries the hard problem was getting mind out of matter. Conscious realism simply declines the assignment and starts from mind, making spacetime the derived object. Whether it is true or not, it is the cleanest demonstration that the arrow of explanation was a choice, not a finding.
If physics is the user interface of a network of minds, who, or what, is the network?