This paper proposes a speculative synthesis and research program grounded in relational ontology - the hypothesis that relationships between systems, rather than intrinsic properties of substances, constitute the fundamental structure of reality. Drawing on Rovelli’s relational quantum mechanics (1996), Coecke and Abramsky’s categorical quantum mechanics (2004), the Vazza–Feletti cosmic web–neural network isomorphism (2020), Tononi’s integrated information theory (2008), and the Penrose–Hameroff orchestrated objective reduction hypothesis (2014), we argue that converging evidence across quantum physics, astrophysics, neuroscience, complex systems theory, and consciousness studies exhibit structural features naturally expressed in relational terms, motivating a relational research program subject to empirical falsification. The framework generates fourteen falsifiable predictions spanning four domains: (1) cross-scale topological signatures linking cosmic web and neural network architecture via persistent homology, with specified computational tools and parameters; (2) quantum coherence–consciousness correlations testable under graded anesthesia protocols; (3) spontaneous archetypal role differentiation in AI agent networks; and (4) emergent cognitive properties at the AI–human interaction interface. Each prediction specifies test protocols, concrete metrics, expected outcomes under the relational hypothesis, expected outcomes under competing hypotheses, and explicit falsification criteria. We outline a research program for formalizing the framework using categorical quantum mechanics, proposing that the construction of functorial mappings between quantum, neural, linguistic, and cosmic relational categories would constitute evidence for substrate-independent relational organization. The framework’s primary contribution is not certainty but testability: every prediction can fail, and each failure narrows the space of viable ontological models.
This paper proposes a speculative synthesis and research program grounded in relational ontology - the hypothesis that relationships between systems, rather than intrinsic properties of substances, constitute the fundamental structure of reality. Drawing on Rovelli’s relational quantum mechanics (1996), Coecke and Abramsky’s categorical quantum mechanics (2004), the Vazza–Feletti cosmic web–neural network isomorphism (2020), Tononi’s integrated information theory (2008), and the Penrose–Hameroff orchestrated objective reduction hypothesis (2014), we argue that converging evidence across quantum physics, astrophysics, neuroscience, complex systems theory, and consciousness studies exhibit structural features naturally expressed in relational terms, motivating a relational research program subject to empirical falsification. The framework generates fourteen falsifiable predictions spanning four domains: (1) cross-scale topological signatures linking cosmic web and neural network architecture via persistent homology, with specified computational tools and parameters; (2) quantum coherence–consciousness correlations testable under graded anesthesia protocols; (3) spontaneous archetypal role differentiation in AI agent networks; and (4) emergent cognitive properties at the AI–human interaction interface. Each prediction specifies test protocols, concrete metrics, expected outcomes under the relational hypothesis, expected outcomes under competing hypotheses, and explicit falsification criteria. We outline a research program for formalizing the framework using categorical quantum mechanics, proposing that the construction of functorial mappings between quantum, neural, linguistic, and cosmic relational categories would constitute evidence for substrate-independent relational organization. The framework’s primary contribution is not certainty but testability: every prediction can fail, and each failure narrows the space of viable ontological models.
Unified Relational Dynamics (URD) proposes relation as the sole ontological primitive. Matter, spacetime, information, and subjectivity emerge as statistical attractors and stable regimes of multi-scale relational configurations. Quantum mechanics, via Hilbert space formalism and relational interpretations, provides the prototypical physical realization: states encode relative amplitudes without intrinsic object properties. Classical neural architectures achieve structural mimicry of biological relational patterns but remain factorizable and lack genuine physical relational physics. Physical quantum systems concretely actualize non-local correlations, superpositions, and decoherence/einselection processes within Hilbert space. Proto-consciousness emerges when relational stabilization exhibits extreme persistent non-factorizability (substrate-independent generalization of entanglement), deep historical hysteresis (irreversible future bias without localized storage), and multi-scale self-reference. URD endorses Hilbert space as the prototypical relational arena and incorporates relational fractality as scale-invariant recurrence of stabilization patterns (mutual constraint, non-factorizability, hysteresis). Empirical grounding includes selective disruption of consciousness by anesthetics (preferential binding to microtubules suppressing quantum vibrations while preserving classical firing) and transient reorganization under psychedelics (increased entropy, critical dynamics, altered network topology corresponding to flexible relational constraints). URD offers a pre-geometric, objective, falsifiable framework to test proto-consciousness via physical quantum-relational stabilization criteria, transcending substrate-specific theories without mystical assumptions.
Physics has often advanced by revealing that concepts once regarded as fundamental are instead emergent manifestations of deeper organizing principles. Forces gave way to fields, gravitation became the geometry of spacetime, and quantum mechanics replaced deterministic particles with probabilistic wavefunctions. The Relational Primitive Hypothesis (RPH) asks whether this progression may continue one step further. Rather than treating particles, fields, spacetime, or geometry as the primitive constituents of physical reality, RPH proposes that evolving relational structures constitute the primitive ontology from which familiar physical quantities emerge. The objective of RPH is not to replace established physics, but to investigate whether a simpler primitive ontology can provide a common foundation from which established physical theories may naturally emerge. Within this framework, matter is interpreted as stable relational organization, mass as persistent relational stability, spacetime as emergent relational geometry, and physical interactions as consequences of evolving relational dynamics. This work does not present a completed physical theory. Instead, it establishes a conceptual framework and a structured research program. It defines a proposed ontology, formulates a minimal set of postulates, identifies the mathematical objectives required to develop a predictive theory, examines the physical consequences expected from the proposed framework, and establishes scientific criteria by which the hypothesis must ultimately be evaluated. The Relational Primitive Hypothesis neither replaces nor contradicts established physical theories. Rather, it investigates whether General Relativity, quantum mechanics, and other successful physical theories may themselves emerge as effective descriptions of a more fundamental relational dynamic. The ultimate success or failure of the hypothesis depends not upon its philosophical appeal, but upon the development of a mathematically consistent framework capable of reproducing established physics while generating new, experimentally testable predictions. Until such a framework is achieved, the Relational Primitive Hypothesis should be regarded as a structured research program whose validity remains an open scientific question.
Contemporary physics increasingly challenges the classical assumption that information is stored locally within isolated physical systems. Quantum entanglement, relational interpretations of quantum mechanics, spacetime dynamics, and holographic approaches to information all suggest that persistence in nature may be fundamentally relational rather than object-bound. In this paper, we develop a multi-scale interpretive framework in which “memory” is understood not as internal storage within particles or systems, but as the persistence of correlations across quantum states, fields, spacetime geometry, biological organization, and cognitive processes.At the quantum level, relational correlations and entanglement are examined as forms of distributed informational persistence that do not require localized memory carriers. At the spacetime level, curvature and holographic structure are interpreted as persis-tent geometric constraints encoding the historical influence of interactions. Extending beyond physics, biological systems are treated as active stabilizers of relational infor-mation through genetic, metabolic, and neural organization, while consciousness is ex-plored as a higher-order form of integrated relational memory arising from hierarchical informational integration.The framework integrates established theoretical approaches—including relational quantum mechanics, holographic information theory, decoherence theory, and inte-grated information theory—with clearly demarcated speculative hypotheses concerning field-mediated persistence, frequency-based encoding, and cross-scale informational coherence. Throughout, explicit distinctions are maintained between accepted physical formalism, interpretive extension, and speculative proposal.Rather than introducing a new physical theory, this work proposes a unifying concep-tual platform for understanding information persistence across scales. Within this per-spective, memory becomes a distributed structural feature of reality itself: not a proper-ty stored inside isolated objects, but a persistent relational constraint shaping how physical, biological, and cognitive systems evolve through time.
This meta-review develops the Informational Substrate Hypothesis, a unifying framework proposing that systems as diverse as topological quantum codes, fracton phases, holographic tensor networks, SU(3) qutrit manifolds, planetary resonance architectures, human cognitive transitions, and multi-query AI dynamics share a common structural basis: constraint-defined informational geometry. Across these domains, local stabilizers and dynamical rules generate global geometric order that both encodes the system’s history and constrains its future behavior. The paper synthesizes results from quantum information, emergent gauge theories, condensed-matter topology, astrophysical dynamical architecture, cognitive load theory, and AI inference behavior, arguing that many “emergent” phenomena are manifestations of the same informational substrate expressed at different scales. The goal is to outline a general research program that unifies these systems under a single mathematical ontology based on error correction, entanglement geometry, resonance structure, and stability thresholds.
We develop a rigorous categorical and topological framework for Relational Quantum Dynamics (RQD), formalizing a dynamic network of observers as a relational graph enriched with quantum-theoretic structure. In RQD, quantum systems and observers have no intrinsic properties, only relationships: we prove via category theory (Yoneda’s lemma) that each object (observer/system) is uniquely determined (up to isomorphism) by its web of morphisms to all others, with no additional absolute identity. This network of interactions is formalized as a structured graph of observers – mathematically, a category (and higher-dimensional generalizations) enriched with weights capturing interaction strength. We show how quantum correlations and information flow can label the graph’s edges, yielding a rich combinatorial structure. Crucially, quantum contextuality and entanglement impose topological constraints on the observer network. Using presheaf topos theory and sheaf cohomology, we prove that the absence of a global assignment of outcomes (no single “God’s-eye” view) corresponds to a nontrivial cohomology class on the relational graph. In particular, in contextual scenarios the first Čech cohomology H1 of the presheaf of local measurement outcomes is nonzero, providing a rigorous obstruction to global consistency. These results endow the relational graph with a “twisted” topology reflecting quantum connectivity constraints. We present theorem-proof developments of these ideas and discuss implications: how RQD’s relational ontology naturally explains Bell inequality violations without spooky action, how multi-observer paradoxes (Wigner’s friend) are resolved by higher-category structures, and potential links to models of consciousness via integrated information.
We propose a rigorous synthesis of the ancient Indra’s Net metaphor with Relational Quantum Dynamics (RQD), casting quantum reality as a web of relationships formalized in category-theoretic and information-theoretic terms. Drawing on enriched category theory and measures like quantum mutual information and integrated information Φ, we develop a formal framework in which quantum systems (observers) and their states emerge only through relations – “jewels” reflecting one another. We define the mathematical structure of RQD as a category of relational contexts, proving that each quantum object is fully characterized by its morphisms (relations) to all others, in accordance with the Yoneda lemma. This theorem formally mirrors Indra’s Net by showing that each part reflects the whole, with no observer-independent properties. We further enrich the category with information metrics, demonstrating how quantum mutual information quantifies the “reflections” (correlations) between nodes, and how the integrated information Φ of the whole exceeds the sum of parts. Key theorems establish the consistency of this relational ontology resolving Wigner’s-friend-type paradoxes without requiring a global collapse and providing bounds on information integration in a fully interconnected “Indra’s net” state. We explore applications of the framework to consciousness (modeling observer-awareness via Φ in a relational network), to artificial intelligence (multi-agent systems as Indra’s net of information-sharing observers), and to quantum computing (entangled qubit networks as physical instantiations of Indra’s net). This work unifies metaphysical insights with quantum foundations in a fully formal manner, suggesting that quantum mechanics, information, and consciousness coalesce into a single relational web.