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A space of qualia is defined to be a sober topological space whose points arethe qualia and whose open sets are the pure concepts in the sense of Lewis,carrying additional algebraic structure that conveys the conscious experienceof subjective time and logical abstraction. This structure is analogous to thatof a space of physical measurements. It is conjectured that qualia andmeasurements have the same nature, corresponding to fundamental processes viawhich classical information is produced and physically stored, and thattherefore the hard problem of consciousness and the measurement problem are twofacets of the same problem. The space of qualia is independent from anypreexisting notions of spacetime and conscious agent, but its structure catersfor a derived geometric model of observer. Intersubjectivity is based onrelating different observers in a way that leads to a logical version ofquantum superposition.

Qualia as physical measurements: a mathematical model of qualia and pure concepts