Qualia as physical measurements: a mathematical model of qualia and pure concepts
arXiv Preprint Archive March 20, 2022 Pedro Resende
A space of qualia is defined as a sober topological space whose points are qualia and whose open sets are pure concepts, carrying algebraic structure that models subjective time and logical abstraction. This structure parallels that of a space of physical measurements. The authors conjecture that qualia and measurements share the same nature, corresponding to fundamental processes that produce and store classical information, making the hard problem of consciousness and the measurement problem two facets of the same issue. The space of qualia does not depend on spacetime or a conscious agent but yields a derived geometric model of an observer. Intersubjectivity is established by relating observers in a way that yields a logical version of quantum superposition.