The Calabi-Yau-Ruquist (CYR) hypothesis of phenomenal consciousness is a version of material dualism based on the Calabi-Yau Compact Manifold of compactified dimensions in string theory. In essence it corresponds to the Smythies-Carr (CS) hypothesis but with the CS source for consciousness, i.e., a brane parallel to the brane of the physical world, replaced by an invisible subspace of nature with remarkable properties.
This universal subspace contains a 3D array of string-theory Calabi-Yau (CY) elements, numbering 10^90 per cc, due to the compactification of 6 dimensions as 3 dimensions expanded in the Big Bang. In this representation, consciousness is based on the hypothesis that a natural system which mimics the mathematics of natural numbers (like Peano arithmetic) will have a universal property (like energy in a thermodynamic system) called consciousness. Given that there are 10^500 distinct CY elements according to string theory, that is more than enough for every CY element in the universe to be distinct. And given astronomical observations that the fine-structure constant varies monotonically across the universe, the CY elements are likely ordered. So in this system concept consciousness is emergent from an arithmetical subspace.
Another remarkable property of this subspace is that because the CY elements are motionless, they form a frictionless Bose-Einstein Condensate(BEC), where information can be transmitted instantly. In string theory elements of this subspace also contain the laws of physics and they collectively control particle interactions. This is therefore also a candidate for the God canonizer.
From the Stanford Philosophy site: "The leading contemporary version of the Representational Theory of Mind, the Computational Theory of Mind (CTM), claims that the brain is a kind of computer and that mental processes are computations. According to CTM, cognitive states are constituted by computational relations to mental representations of various kinds, and cognitive processes are sequences of such states."
Our hypothesis is closer to a branch of computationalism that (following Godel) claims that consciousness emerging from Peano Arithmetic in turn can create energy and matter like in the Big Bang, i.e.,
> HUMAN => HUMAN REPRESENTATION
But that is not a necessary evolutionary path for a representational string theory of consciousness where downward causation continually interacts with upward consciousness to create an inner self within the mental representation of outside and internal worlds of independent matter and energy, i.e.,
> DOWNWARD CAUSATION => HUMAN REPRESENTATION
Downward causation is key to the whole process providing for self-referential feedback loops and of course for thinking based on intention. Ruquist proposes that BEC entanglement between different levels of consciousness allows for feedback looping. Here, like in Godel's derivation of the Incompleteness Theorems, the math includes complexity levels or stages of proof from the most fundamental level of the natural numbers through a hierarchy of ever more general states (46 for the Incompleteness theorems).
Downward causation then refers to higher states being able to manipulate the configuration of entangled lower states. Likewise, physical waking consciousness may be entangled with the mind representation allowing intention to operate across their boundaries. We do not postulate a mechanism for intention.