Consciousness as Observational Coupling: A Defense of the Fourth Dimension Thesis

I argue that the thesis "consciousness is the fourth dimension" fails geometrically but succeeds when reframed: consciousness is not a fourth axis but the dimension along which the spatial and temporal axes become observable. I formalize this as a dimensionless coupling coefficient, Γ_consciousness, where Ψ_observed = Ψ_manifold × Γ_consciousness, constructed by Buckingham π dimensional analysis on the same pattern as Carnot efficiency, optical mode coupling, and the Born rule. Drawing variables from integrated information theory and the phenomenology of time consciousness, I derive a bounded composite form and check its limits. I am explicit that the structure is dimensionally rigorous but not yet empirically rigorous, and mark where empirical anchoring is required.