The Quantification Horizon Theory of Consciousness

The scientific revolution began with an exclusion. To make nature mathematically tractable, Galileo stripped the scientific model of the world of its qualities -- colors, sounds, tastes, feels -- leaving only what admits of numerical characterization. Four centuries later, the qualities remain unexplained. They are the "hard problem" of consciousness: the enigma of why and how physical processing gives rise to felt experience. The Quantification Horizon Theory of Consciousness (QHT) proposes that this enigma arises from a structural necessity of mathematical description itself. Quantitative models can only capture quantifiable features of reality. Where there is nothing, a model assigns zero; where there is something quantifiable, it assigns a value; but where there is something unquantifiable -- a quale -- the model degenerates: it produces a singularity. QHT identifies singularities in the information geometry of neural dynamics as the mathematical fingerprint of phenomenal experience: a quantification horizon beyond which quantitative description cannot reach. From this basis, QHT derives the hallmark properties of consciousness -- ineffability, privacy, subjectivity, unity, and causal efficacy -- and provides substrate-independent criteria for determining which systems are conscious. The theory avoids panpsychism, makes testable predictions, and offers concrete implications for artificial intelligence and artificial consciousness. Its core intuition -- that singularities correspond to felt experience -- may have been foreshadowed by Srinivasa Ramanujan.