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Intrinsic Causal Geometry: A Classical-Relativistic Hypothesis of Consciousness

Otaviano Lucas Duarte Santos

Zenodo (CERN European Organization for Nuclear Research) September 19, 2026 DOI: 10.5281/zenodo.22847463 (opens in new tab)

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Characteristics Theoretical or philosophical paper Peer reviewed
Key points Proposes that the phenomenal type of a conscious episode can be identified with the isometry class of its chronological order and full four-volume measure, which in suitable Lorentzian spacetimes determines the metric. Argues that this conditional geometric identity hypothesis faces constraints including symmetry obstructions to subject selection, a conformal counterexample, limitations of curvature scalars, and nonuniqueness of material composition at fixed geometry.

Abstract

Can phenomenal consciousness be identified with a structure already present in classical spacetime geometry? This paper develops and critically examines an intrinsic causal geometry hypothesis: the phenomenal type of an appropriately selected episode is identified with the isometry class of its chronological order and full four-volume measure. In a suitable class of distinguishing Lorentzian spacetimes, these data determine the metric, making the proposed representation geometrically complete without introducing a new dynamical field. The paper separates three distinct problems: geometric representation, the selection of conscious episodes, and phenomenal interpretation. It establishes several constraints on possible metric-only approaches, including symmetry obstructions to subject selection, a conformal counterexample showing that chronological order plus total volume does not determine geometry, limitations of curvature scalars, and nonuniqueness of material composition at fixed geometry. Flat and de Sitter causal-diamond calculations are also examined. The resulting proposal is a conditional geometric identity hypothesis rather than a derivation of consciousness from Einstein's field equation. Its purpose is to formulate the idea precisely, identify its mathematical constraints, and define the problems that a completed classical-relativistic theory of consciousness would have to solve.