Geometric Phases in Dynamic Weaving: Information Isomorphism between Navajo Verb-Based Ontology and Quantum Gravity Spacetime Emergence, with Applications to Cognitive De-noising / 動態編織的幾何相位：納瓦霍族動詞本體論與量子引力湧現時空的資訊同構性及認知減噪應用
This project (WP_006) provides an interdisciplinary framework demonstrating the exact information isomorphism between the verb-based ontology of Navajo metaphysics and the emergence of classical spacetime geometry from non-local quantum entanglement (ER=EPR, Loop Quantum Gravity). It includes the mathematical and philosophical derivation of dynamic processes over static substances, formulating a localized "De-Reification Protocol" and "Hózhó Synchronization Protocol" to serve as operational models for human cognitive de-noising and meditative stability in an entropic environment.
This project (WP_006) provides an interdisciplinary framework demonstrating the exact information isomorphism between the verb-based ontology of Navajo metaphysics and the emergence of classical spacetime geometry from non-local quantum entanglement (ER=EPR, Loop Quantum Gravity). It includes the mathematical and philosophical derivation of dynamic processes over static substances, formulating a localized "De-Reification Protocol" and "Hózhó Synchronization Protocol" to serve as operational models for human cognitive de-noising and meditative stability in an entropic environment.
This project (WP_007) establishes a mathematical and philosophical isomorphism between the African relational ontology of Ubuntu and quantum state non-separability. It proves that the Cartesian atomistic self is an epistemological illusion generated by the partial trace operation on a global density matrix (ρA=TrB(ρAB)). The project formalizes love and empathy as macroscopic manifestations of global network phase-locking, offering operational "Relational De-Reification" and "Seriti Attunement" protocols for cognitive de-noising and emotional stabilization within a hyper-connected social manifold.
Phase-Mediated Attractor Dynamics (PMAD) advances a Phase-First Ontology in which relative phase structure, rather than spatial adjacency, constitutes the fundamental organizing principle of physical reality. Contrary to prevailing entanglement-emergence programs associated with ER=EPR, PMAD argues that metric distance, spacetime geometry, and quantum probabilities are emergent coarse-grained projections of a deeper non-equilibrium phase manifold. The fundamental relational object is the long-time phase-overlap functional⟨ei(ϕi−ϕj)⟩T,from which effective geometry, correlation structure, and observer-accessible physical regularities arise. Grounded in four axioms—Phase Primacy, Attractor Determinism, Stability over Symmetry, and Ubiquitous Resonance—PMAD replaces static ontologies of objects embedded within spacetime with a driven many-body ontology organized by attractor stability. Physical proximity becomes derivative of phase synchronization, while apparent locality emerges from attractor-mediated propagation constraints. The framework further operationalizes Ontic Structural Realism by specifying the concrete dynamical relation underlying physical structure and resolves the observer ambiguity of Relational Quantum Mechanics by defining observers as embedded diagnostic probes stabilized within local attractor basins. Cross-scale applications spanning Floquet quantum hardware, solar plasma dynamics, coronal EUV variability, and astrophysical time-series analysis suggest that identical phase-organizing principles govern systems traditionally treated as ontologically distinct. The resulting picture is one in which spacetime is not the substrate of reality but an emergent bookkeeping device arising from stable phase-dynamical organization. Reality is reinterpreted not as matter occupying a pre-existing arena, but as a single driven relational process whose apparent geometry is the observable residue of attractor structure.
This work explores a unified metaphysical and mathematical framework for causality, perception, and observer-based reality, bridging foundational insights from physics and neuroscience. A central thesis is the modeling of conscious observers as Dirac delta functions anchored in perceptual and semantic manifolds, whose collapse events instantiate decoherence and give rise to empirical phenomena. We investigate Micro-Mini-Black Holes in the Brain (MMBHBs), proposing them as cognitive analogues of Kerr-type rotating black holes, whose inner horizons host closed timelike curves (CTCs), enabling acausal ontological dynamics and memory loops. Spacetime models such as S3 × S1 and the Gödel universe G3,1 are shown to admit global CTCs, which, when coupled with local Kerr-like MMBHBs, result in nested temporal structures and equivalence classes of observers. This coupling is explored through Lense–Thirring frame dragging, holonomy effects, and quantum resonance, suggesting mechanisms for observer synchronization, reincarnation paths, and cognitive phase transitions. Through rigorous mathematical modeling— including emotional tensors, gauge theory of identity, memory homology, and semantic Ricci curvature—this paper defines an extended Quantum Measurement Chain (QMC) across multiple observer networks. The resulting formalism admits structures like affective descent gradients, cognitive wormholes, and informational echoes in memory topology. We derive equations for entropy flux, decoherence actions, and perception-curvature dynamics, demonstrating the emergence of identity, emotion, and memory as geometrical and thermodynamical phenomena. This work proposes a novel synthesis of quantum cognition, field-theoretic metaphysics, and observer-centric cosmology.
The series Time as Phase Flow (Papers I–IV) established that time is not fundamental but emerges from the geometric phase flow of quantum information, providing a unified account of dynamically generated cosmological constants, informational temporal viscosity, and the suppression of large-scale structure. Despite these successes, a fundamental mechanism explaining why a single, stable observable reality emerges from the space of quantum informational states has remained unresolved. In this work, we introduce the framework of Information-Geometric Spacetime (IGS), in which spacetime itself emerges from the geometry of quantum information, entanglement, and modular flow. Within IGS, we define an Actualization Operator that mediates between quantum informational states and observable spacetime geometry. Derived from first principles, the operator combines entropy-based suppression with modular evolution, governed by a universal geometric constant β = 1/(π√3) ≈ 0.1837 fixed by the geometry of causal diamonds and the associated modular Hamiltonian. We show that actualization preserves information conservation and quantum unitarity, acting as a structural filter that selectively stabilizes informational states capable of forming consistent geometric reality, in close analogy with decoherence-driven classical emergence. Under this mechanism, previously identified cosmological effects—most notably the suppression of the matter power spectrum and the S_8 tension—are reinterpreted as observational consequences of information actualization rather than modifications of gravity or exotic matter. This framework also offers a geometric reformulation of the quantum measurement problem, in which the observer is not an external agent but an emergent process associated with modular structure and entanglement thermodynamics. The theory yields testable predictions in controlled quantum systems and forthcoming cosmological surveys, providing a concrete pathway toward empirical tests of spacetime emergence from quantum information.
Title: Envelopment over Unification: Recovering Einstein’s Dream via a Generativity-First Framework Subtitle: The Sampling Paradox of State-Based Quantum Gravity and the Return to It from Wave Abstract: This paper identifies the fundamental cause of the century-long impasse in unifying quantum mechanics (QM) and general relativity (GR) as a "Sampling Paradox." Modern physics is epistemically constrained to perceive reality as a collection of static "states"—discrete snapshots sampled from a continuous generative flow. At the Planck scale, the instability of the carrier (spacetime geometry) makes the reconstruction of the generative source from these samples logically impossible. The Envelopment Framework: Departing from traditional state-based programs, we propose a "Generativity-First" ontology called Envelopment. This framework adopts a three-layer hierarchy: Primary Layer (Wave): The continuous, non-linear phase flow of the universe ("It from Wave"). Secondary Layer (Geometry): Spacetime as a stabilized, self-organizing attractor. Tertiary Layer (State): Matter and information as discrete, resolution-dependent projections. Mathematical and Information-Theoretic Foundations: We characterize the primary generative law using a non-linear evolution equation analogous to the Complex Ginzburg-Landau Equation (CGLE). In this model, spacetime geometry emerges as a steady-state attractor, while quantum states manifest as localized interference patterns. We re-derive the Energy-Time Uncertainty Relation as a rigorous consequence of finite temporal sampling windows (delta-t). Here, "uncertainty" is not an inherent fuzziness of nature but an informational limit imposed by the "shutter speed" of observation. Key Contributions: Planckian Aliasing: Redefines quantum vacuum noise as "folded" generative rhythms. The theory predicts non-random, phase-locked structures detectable through homodyne detection in quantum optics or advanced spectral analysis of LIGO data. Envelopment of Existing Theories: Repositions prominent programs—such as AdS/CFT (as shadow-to-object projections), Loop Quantum Gravity (as descriptions of discrete sampling units), and String Theory (as organizations of state-excitations)—as high-precision descriptions of specific projected regimes. The Observer as Co-creator: Positions the observer at the interface of sampling resolution, where the choice of the observational window determines which aspect of the generative wave is rendered as a physical "state." Significance: By shifting the ontological priority from "States" (nouns) to "Generativity" (verbs), this research offers a consistent bridge between continuous flow and discrete observation. It provides a roadmap for future numerical simulations based on non-linear dynamical systems and offers testable predictions for the deterministic structure of quantum noise. Keywords: Quantum Gravity, General Relativity, It from Wave, Sampling Paradox, Envelopment Framework, Complex Ginzburg-Landau Equation, Non-linear Dynamics, Vacuum Noise Aliasing, Observer as Co-creator, Information Physics. Note on Related Research: This manuscript represents a significant generalization of the author’s preceding work on "Shutter Speed Theory" and "Informational Crystallization" (Ohumi, 2025). It expands the sampling-theoretic reinterpretation of quantum uncertainty into a comprehensive framework for quantum gravity. For details, please refer to the attached PDF. This work introduces the “Envelopment over Unification” logic (Wave → Geometry → State). It is complemented by applied works translating this framework into (i) ethics of technological civilization (Envelopment Ethics, DOI: 10.5281/zenodo.18256968) and (ii) governance critique of quantified policy targets (Civilization KPI Trap, DOI: 10.5281/zenodo.18264106). References: Shannon (1948), Einstein (1916), Wheeler (1990), Ohumi (2025).
The engineering of distributed cognition in heterogeneous multi-agent systems (MAS), including human-AI collaborations, requires a theoretical framework that accounts for the limitations of classical information processing, specifically the phenomena of contextuality, order effects in reasoning, and the non-separability of semantic states. This paper fundamentally extends the foundational "Anthropomorphism as Geodesic Projection" paradigm—which reframed anthropomorphism as a structural necessity or "interactive grammar" for synthesizing cognitive processes—by incorporating a quantum dimension. We posit that the irreducible non-commutativity of cognitive states Mamun, SM (2026) ………………………………………….1 Anthropomorphism as Geodesic Projection: A Quantum-Information Geometric and Hamiltonian Synthesis for Emergent Intersubjectivity in Heterogeneous Multi-Agent Systems necessitates a shift from classical geometry to Quantum Information Geometry. The framework transitions from the classical Fisher-Rao metric to the Bures-Wasserstein and Wigner-Yanase-Dyson (WYD) metrics, embedding agent distributions onto a quantum statistical manifold endowed with a non-commutative algebra of observables. Dynamical flows are derived via a Quantum Hamiltonian formulation governed by the Schrödinger-von Neumann equation, replacing the classical, commutative Poisson dynamics with non-commutative commutators. Also available on Academia.edu: https://www.academia.edu/attachments/131737100/download_file?s=portfolio