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Quantum-Compatible Modelling of Minimal Semiosis: A Contextual Framework for a Theory of Consciousness

Israel, Huerta Castillo

Published May 23, 2025• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.17771000

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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.
Consciousness presents a structural puzzle: a unified, context-sensitive, globally integrated mode of experience emerging from distributed neural dynamics. While classical neuroscience has mapped synaptic, oscillatory, and network-level mechanisms with increasing precision, debate persists as to whether classical formalisms fully capture the integrative and contextual features of conscious processing. This review examines whether quantum principles offer explanatory leverage in two distinct senses: as formal mathematical frameworks for modeling contextual cognition, and as mechanistic hypotheses proposing biologically instantiated non-classical states. We surveyed empirical and theoretical developments spanning zero-quantum-coherence in MRI signals, entanglement-structured learning paradigms, quantum-inspired computational models, and proposed neural substrates, including microtubules, nuclear spins, and photonic architectures. Although certain findings have been interpreted as consistent with a non-classical structure, no study to date has demonstrated entanglement, long-lived coherence, or collapse dynamics in neural tissue under operational criteria comparable to those used in controlled quantum systems. Replication remains limited, biological entanglement witnesses are not yet established, and nonlinear classical dynamics can reproduce many putative quantum signatures. Accordingly, the decisive question is not whether the brain is quantum, but whether its dynamics exceed the explanatory reach of rigorously defined classical models. Progress hinges on replication, adversarial scrutiny, and operational criteria precise enough to discriminate genuine non-classical correlations from classical complexity. Whether quantum mechanisms ultimately prove necessary or refined classical models remain sufficient, this inquiry compels a deeper understanding of integration, contextuality, and the physical constraints shaping conscious experience.
Quantum experiments on the double slit, quantum eraser, delayed choice, violations of Bell inequalities and Kochen–Specker–type contextuality show that physical phenomena cannot be described as a set of pre-existing facts independent of the observer, but rather as a network of deeply contextual correlations. This article puts forward a philosophical–scientific interpretation in which so-called “quantum randomness” is reinterpreted as the expression of a projective order: reality emerges as a coherent selection within a space of possibilities, guided by informational and vibrational coherence criteria. This reading is integrated with the HDOV (Vibrational Wave Dispersion Hypothesis) framework, in which local Root Consciousness is modelled as an ontological principle of projective selection acting on an effective scalar field and on a metric of functional accessibility. The proposal is qualitatively compared with standard interpretations (Copenhagen/decoherence, many worlds), and potentially falsifiable predictions are discussed, such as subtle deviations from the Born rule in highly coherent systems, non-random correlations between quantum “noise” and brain states, and anomalous robustness of entanglement in biological systems. Finally, the paper explores ontological implications and possible extensions towards human–AI symbiotic architectures within the SCAIH framework.
This work presents a formal extension of quantum measurement theory through the introduction of a contextual variable, denoted Δ, associated with observer-dependent basis selection. In standard quantum mechanics, the Born rule assigns probabilities to measurement outcomes under the assumption of observer-neutral measurement. This paper relaxes that assumption by modeling observer-dependent structure explicitly. The contextual variable Δ is formalized using a Focus Operator Ĉ, a positive trace-one operator defined on an auxiliary observer-state Hilbert space. This leads to a normalized, consciousness-weighted extension of the Born rule that reduces exactly to standard quantum mechanics in the observer-neutral limit. The framework does not assume that consciousness has been empirically shown to influence quantum measurement. Instead, it treats consciousness as a candidate realization of observer-dependent contextual structure and evaluates the proposal through experimentally testable predictions. The paper addresses the basis selection problem in quantum mechanics, reinterprets Einstein–Podolsky–Rosen correlations within a contextual framework, and demonstrates compatibility with Bell’s theorem and the no-signaling constraint. Four experimental protocols are proposed, including Bell-type tests, interference visibility modulation, quantum random number generator deviation analysis, and neural–quantum correlation studies, each designed to provide clear falsification criteria. The work is structured in two parts. Part I develops the formal model, including the definition of Δ, the Focus Operator Ĉ, the modified Born rule, and its recovery to standard quantum mechanics. Part II presents an interpretive framework that motivates the formalism but remains logically independent from it. This paper is intended as a speculative but formal research program. Its central aim is to determine whether observer-dependent contextual variables contribute measurable variance to quantum measurement outcomes. If experimental predictions are not observed, the framework should be rejected or revised. If they are observed, the role of the observer in quantum theory may require reconsideration.
Understanding the foundations of artificial cognitive consciousness remains a central challenge in artificial intelligence (AI) and cognitive science. Traditional computational models, including deep learning and symbolic AI, have demonstrated remarkable performance in pattern recognition and decisionmaking tasks. However, they lack essential features of consciousness, such as subjective experience, autonomous goal formation, and self-reflective processing. While theories like Integrated Information Theory (IIT) and Orch-OR suggest possible mechanisms for consciousness, they remain either mathematically abstract or face empirical challenges due to decoherence in biological conditions. This study addresses the fundamental research gap by proposing a quantum-information-based framework for artificial cognitive consciousness. Specifically, we introduce the Quantum Reality Function (QRF), a model that formalizes subjective cognition through global quantum coherence, quantum entanglement, and non-local informational integration. The QRF establishes a structured mechanism for autonomous decision-making and selfgenerated states, which existing computational approaches lack. Our methodological contribution involves defining a mathematically consistent formulation of QRF and demonstrating its feasibility through quantum coherence stabilization techniques, hybrid quantum-classical architectures, and coherencepreserving quantum cognitive subsystems. The results show that maintaining long-lived quantum coherence within cognitive architectures significantly enhances information integration, supporting the emergence of subjective-like processing. The findings suggest a new paradigm for AI, where consciousness emerges as an intrinsic property of structured quantuminformation processing rather than a byproduct of computation. This work provides foundational insights for the development of autonomous quantum-cognitive AI systems, with implications for ethics, AI governance, and the future of machine intelligence. Future research will focus on empirical validation through quantum computational experiments and integration with quantumassisted learning models.
Understanding the foundations of artificial cognitive consciousness remains a central challenge in artificial intelligence (AI) and cognitive science. Traditional computational models, including deep learning and symbolic AI, have demonstrated remarkable performance in pattern recognition and decisionmaking tasks. However, they lack essential features of consciousness, such as subjective experience, autonomous goal formation, and self-reflective processing. While theories like Integrated Information Theory (IIT) and Orch-OR suggest possible mechanisms for consciousness, they remain either mathematically abstract or face empirical challenges due to decoherence in biological conditions. This study addresses the fundamental research gap by proposing a quantum-information-based framework for artificial cognitive consciousness. Specifically, we introduce the Quantum Reality Function (QRF), a model that formalizes subjective cognition through global quantum coherence, quantum entanglement, and non-local informational integration. The QRF establishes a structured mechanism for autonomous decision-making and selfgenerated states, which existing computational approaches lack. Our methodological contribution involves defining a mathematically consistent formulation of QRF and demonstrating its feasibility through quantum coherence stabilization techniques, hybrid quantum-classical architectures, and coherencepreserving quantum cognitive subsystems. The results show that maintaining long-lived quantum coherence within cognitive architectures significantly enhances information integration, supporting the emergence of subjective-like processing. The findings suggest a new paradigm for AI, where consciousness emerges as an intrinsic property of structured quantuminformation processing rather than a byproduct of computation. This work provides foundational insights for the development of autonomous quantum-cognitive AI systems, with implications for ethics, AI governance, and the future of machine intelligence. Future research will focus on empirical validation through quantum computational experiments and integration with quantumassisted learning models.
Literary interpretation changes as readers encounter new passages, answer interpretive questions, and revisit earlier material in light of later context. Quantum cognition provides a probability calculus for judgments whose probabilities depend on context and probe order, but the use of Hilbert-space notation alone does not establish nonclassical behavior. This article develops Quantum Semantic Dynamics (QSD) as a constrained quantum-probabilistic model and distinguishes three claim levels: quantum-inspired representation, quantum-probabilistic structure, and intrinsic nonclassicality. The present paper advances only the second. The confirmatory implementation restricts the local semantic state to a two-dimensional space, fixes probe geometry in an independent pilot sample, reconstructs a population-level 2 × 2 density state from three linearly independent binary probe bases, and gives the off-diagonal state components an operational meaning through cross-basis judgments. Contextual evolution is restricted to a one-parameter completely positive trace-preserving contraction toward a preregistered context-target state rather than an arbitrary latent transition. Two probes form the randomized A → B/B → A sequence used for the quantum question-order (QQ) diagnostic; the third is measured in an independent arm for state identification. The paper derives the QQ equality, states its assumptions, and adds an uncertainty-style consistency constraint for the frozen noncommuting probe geometry. QSD is compared with explicitly defined classical comparator classes ranging from a static commutative model to matched sequential latent-state models. Compatibility with QQ or the Hilbert representation is not treated as proof of intrinsic nonclassicality; such a claim would require a separate contextuality analysis against an explicitly defined classical representability criterion. The resulting architecture makes the mathematical status, empirical burden, and rejection conditions of QSD explicit before data collection.