Alexander Yiannopoulos

Although empirical studies of consciousness have produced fine-grained experimental data, the theoretical foundations of cognitive science remain unsettled, creating a "crisis of falsifiability". We argue this crisis stems from insufficient mathematical rigor: leading theories of consciousness are not yet formulated in terms compatible with standard mathematical physics. We propose a minimal axiomatic extension of physical theory: an orthogonal phase-space geometry consisting of a physical Hilbert space (H_Ψ) linked to an orthogonal phenomenal Hilbert space (H_Φ) by non-commutative Awareness (A) and Volition (V) operators. Formulated within an indefinite-metric (±) Krein space, the algebra of these operators uniquely identifies a σ_y generator. This geometric constraint yields a novel, falsifiable empirical prediction: a mandatory π/2 (90-degree) phase offset between the neural correlates of sensory awareness and volitional action in the sensorimotor loop. This framework offers a mathematically precise, physically grounded, and empirically testable model of psychophysical correlation.

Alexander Yiannopoulos (Ph.D., 2020) works at the intersection of topological quantum field theory and medieval Buddhist philosophy, formalizing the geometric structure of phenomenal experience. He has twice served the United States Department of State as a Fulbright Scholar (Nepal 2007 and India 2016). In 2025 he founded the A|Ω⟩ Institute, where he currently serves as Director.