Quantum-Compatible Modelling of Minimal Semiosis: A Contextual Framework for a Theory of Consciousness
Israel, Huerta Castillo
This article develops a quantum-compatible formalisation of minimal semiosis as the foundational organisational condition for a theory of consciousness grounded in triadic normativity and should be read as a direct extension of the Semiotic Theory of Consciousness previously formulated. In that earlier framework, a system counts as a minimal interpreter just in case it satisfies operational criteria C1–C4 (plurality and conflict of signals, manipulable interpretant, explicit normativity and sensori-motor closure), supports a stream of Elementary Semiotic Events (ESEs) with rate ρ, and realises a basal consciousness magnitude for some system-specific scaling parameter κ. Conscious experience is thereby understood as the phenomenological halo coextensive with normatively constrained interpretive dynamics in an Umwelt-indexed state space. The present contribution supplies a quantum-compatible logical–mathematical envelope for this semiotic core. It models the space of interpretive states as a structured domain on which families of contextual partitions induce non-Boolean event algebras and, in appropriate cases, non-commutative operator structures. Instead of postulating genuine quantum microphysics, the proposal adopts quantum probability and Hilbert-space techniques purely as a modelling grammar for contextuality, order sensitivity, non-commutativity and systematic violations of classical total probability—features independently observed in biological and cognitive systems. Drawing on Atmanspacher’s and beim Graben’s theory of contextual emergence, together with quantum-like models of cognition, the article shows how non-generating partitions of the semiotic state space give rise to complementary macro-descriptions of meaning, whereas generating partitions recover a classical, Kolmogorov-like regime. Within this architecture, the central operator of the semiotic theory—the intervention do(I)—is rendered as a contextual state-selection map acting on probability measures (or state vectors) over interpretive configurations, thus linking causal intervention with the algebraic structure of contextuality. The resulting hybrid framework assigns semiosis the role of ontology and quantum-compatible probability the role of mathematics, enhancing explanatory and predictive power without additional metaphysical commitments about quantum substrates. The article concludes by specifying empirical conditions—concerning the identification of ESEs, estimation of ρ and κ, and experimental implementations of do(I) in organisms and robots—under which such quantum-compatible models can advance the study of minimal consciousness in both biological and artificial systems.
•May 23, 2025•0 citations