We can imagine consciousness as a purely informational process, which can occur in any adequately complex substrate—real or virtual. In this regard (integrated information theory), the inherent “properties” of consciousness would be more readily described using graph theory or topology.

However, we can also view physics itself as something inherently informational, given that all the base particles in the standard model can ultimately be boiled down to scalar values. Would it be possible to say that those values are ultimately derived from the inherently mathematical properties which result in this reality “existing”? What does it mean for something to exist on the basis of its inherent mathematical identity?

If both consciousness and reality are purely mathematical phenomenon (maybe consciousness is more derived through the computation-generating properties of life), why would one such phenomenon be any less expected than the other? Isn’t it impossible for a non-mathematically-derived (informational) consciousness to exist at all in such a universe?