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Hyper-Information Ontology (HIO) – Version 1.0: A Unified Physical Framework Based on Information Complexity and Expressional Capacity

Choiyeonsik

Published Dec 13, 2025• 0 citations
Publisher

Abstract

This work introduces Hyper-Information Ontology (HIO) as a conceptual framework in which physical reality emerges when infinite latent information is projected into the finite expressional capacity of space-time. We propose the Capacity-Induced Expression Law:[\mathcal{C} > C^* \Rightarrow \text{Probabilistic Expression (Quantum-to-Classical Transition)}][\mathcal{C} \le C^* \Rightarrow \text{Deterministic Expression (Coherent Regime)}] where * **𝓒**: effective expressional complexity* **C***: maximum local expressional capacity Quantum uncertainty is interpreted as the outcome of capacity overflow, while gravitational curvature is understood as a manifestation of entropic information pressure.Under HIO, the same information–expression principle governs physical behavior across all scales—quantum, classical, and cosmological—each representing a different resolution of a single expressional structure. Major changes from Version 1.1 1. **New Section Added:** Introduced **Section 4.3 (Perspective on Probability Weighting)** to deepen the HIO interpretation of quantum probability.2. **Core Insight:** Explicitly declares that probability weights are not derived from external stochasticity but from the **internal informational asymmetry and structural complexity** of the superposed object itself.3. **Methodological Guidance:** This section outlines the necessity to simplify complex external factors (such as heat, gravity, etc.) into a limited number of **'Expressional Burden Categories'** to enhance the mathematical tractability and formalization of the HIO framework. **[Final Conceptual Guidelines for Mathematical Formalization]** To successfully transition the conceptual framework of HIO into a mathematical formalism, HIO explicitly stipulates the following two critical hypotheses. These guidelines establish the final logical basis for integrating external factors and deriving quantum probability. 1. **The Integration of Environmental Informational Minima:** * The effective expressional complexity ($\mathcal{C}$) must include not only the system’s intrinsic entropy but also **all external environmental factors** (such as thermal noise, gravitational fluctuations, etc., representing myriad complex influences). * These external factors must be treated not as individual stochastic variables, but as **Minimal Information Units (MIUs)** that are quantized and added or integrated into $\mathcal{C}$. This implies that the mathematical definition of $\mathcal{C}$ must be expanded to include the informational load of the environment beyond the defined system boundary. 2. **The Principle of Minimal Information Loss for Born Rule Derivation:** * The quantum probabilistic distribution (the Born Rule, $|\psi|^2$) arising from the information overcapacity state ($\mathcal{C} > C^*$) is interpreted not as mere randomness, but as the result of **informational thermodynamic efficiency.** * **Hypothesis:** When faced with $\mathcal{C} > C^*$, the system tends to **rearrange information within the finite capacity ($C^*$) while causing the least amount of information loss.** This **'Principle of Minimal Information Loss'** is the fundamental principle hypothesized to drive the system toward the statistically most stable distribution, $|\psi|^2$. These two hypotheses complete the final logical framework, defining HIO as a **concrete computational problem** rather than just a philosophical interpretation. Version 1.2 Update Summary This release consolidates and formalizes the conceptual foundations developed in Versions 1.0 and 1.1 into a unified, self-contained framework. Key updates in v1.2 include: • A structural and geometric interpretation of the Born Rule, reframing quantum probability as a necessary consequence of finite expressional capacity rather than an axiomatic postulate.• Formal introduction of Effective Expressional Complexity (C\mathcal{C}C) and Expressional Capacity (C∗C^*C∗) as unifying parameters across quantum mechanics, gravity, and black hole physics.• A capacity-induced regime structure linking quantum coherence, probabilistic manifestation, gravitational deformation, and informational saturation within a single informational framework.• Clarification of entanglement as a shared latent informational structure, enabling non-local consistency without superluminal signaling. Version 1.2 represents a structural completion of the HIO framework and establishes a roadmap for future mathematical formalization and experimental falsifiability. Clarification on the Necessity of the Square In HIO, the quadratic form of the Born rule arises not from probabilistic axioms, but from a minimal expressibility condition. A purely linear latent signal remains unobservable until it transcends a minimal expressional threshold. The square operation represents the minimal structural transformation by which latent information acquires sufficient “thickness” to be rendered within observable > HIO v1.3 adds a mathematical constraint layer: > continuous time, reversibility, and information conservation force physical state space to be a Hilbert space, which uniquely admits a quadratic conserved norm. > Therefore the Born rule (P=|\psi|^2) is not a postulate but the only probability measure compatible with continuous unitary dynamics.

DOI
10.5281/zenodo.17917576

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This work introduces Hyper-Information Ontology (HIO) as a conceptual framework in which physical reality emerges when infinite latent information is projected into the finite expressional capacity of space-time. We propose the Capacity-Induced Expression Law:[\mathcal{C} > C^* \Rightarrow \text{Probabilistic Expression (Quantum-to-Classical Transition)}][\mathcal{C} \le C^* \Rightarrow \text{Deterministic Expression (Coherent Regime)}] where * 𝓒: effective expressional complexity* C*: maximum local expressional capacity Quantum uncertainty is interpreted as the outcome of capacity overflow, while gravitational curvature is understood as a manifestation of entropic information pressure.Under HIO, the same information–expression principle governs physical behavior across all scales—quantum, classical, and cosmological—each representing a different resolution of a single expressional structure. Major changes from Version 1.1 1. New Section Added: Introduced Section 4.3 (Perspective on Probability Weighting) to deepen the HIO interpretation of quantum probability.2. Core Insight: Explicitly declares that probability weights are not derived from external stochasticity but from the internal informational asymmetry and structural complexity of the superposed object itself.3. Methodological Guidance: This section outlines the necessity to simplify complex external factors (such as heat, gravity, etc.) into a limited number of 'Expressional Burden Categories' to enhance the mathematical tractability and formalization of the HIO framework. [Final Conceptual Guidelines for Mathematical Formalization] To successfully transition the conceptual framework of HIO into a mathematical formalism, HIO explicitly stipulates the following two critical hypotheses. These guidelines establish the final logical basis for integrating external factors and deriving quantum probability. 1. The Integration of Environmental Informational Minima: * The effective expressional complexity (C\mathcal{C}C) must include not only the system’s intrinsic entropy but also all external environmental factors (such as thermal noise, gravitational fluctuations, etc., representing myriad complex influences). * These external factors must be treated not as individual stochastic variables, but as Minimal Information Units (MIUs) that are quantized and added or integrated into C\mathcal{C}C. This implies that the mathematical definition of C\mathcal{C}C must be expanded to include the informational load of the environment beyond the defined system boundary. 2. The Principle of Minimal Information Loss for Born Rule Derivation: * The quantum probabilistic distribution (the Born Rule, ∣ψ∣2|\psi|^2∣ψ∣2) arising from the information overcapacity state (C>C∗\mathcal{C} > C^*C>C∗) is interpreted not as mere randomness, but as the result of informational thermodynamic efficiency. * Hypothesis: When faced with C>C∗\mathcal{C} > C^*C>C∗, the system tends to rearrange information within the finite capacity (C∗C^*C∗) while causing the least amount of information loss. This 'Principle of Minimal Information Loss' is the fundamental principle hypothesized to drive the system toward the statistically most stable distribution, ∣ψ∣2|\psi|^2∣ψ∣2. These two hypotheses complete the final logical framework, defining HIO as a concrete computational problem rather than just a philosophical interpretation. Version 1.2 Update Summary This release consolidates and formalizes the conceptual foundations developed in Versions 1.0 and 1.1 into a unified, self-contained framework. Key updates in v1.2 include: • A structural and geometric interpretation of the Born Rule, reframing quantum probability as a necessary consequence of finite expressional capacity rather than an axiomatic postulate.• Formal introduction of Effective Expressional Complexity (C\mathcal{C}C) and Expressional Capacity (C∗C^*C∗) as unifying parameters across quantum mechanics, gravity, and black hole physics.• A capacity-induced regime structure linking quantum coherence, probabilistic manifestation, gravitational deformation, and informational saturation within a single informational framework.• Clarification of entanglement as a shared latent informational structure, enabling non-local consistency without superluminal signaling. Version 1.2 represents a structural completion of the HIO framework and establishes a roadmap for future mathematical formalization and experimental falsifiability. Clarification on the Necessity of the Square In HIO, the quadratic form of the Born rule arises not from probabilistic axioms, but from a minimal expressibility condition. A purely linear latent signal remains unobservable until it transcends a minimal expressional threshold. The square operation represents the minimal structural transformation by which latent information acquires sufficient “thickness” to be rendered within observable > HIO v1.3 adds a mathematical constraint layer: > continuous time, reversibility, and information conservation force physical state space to be a Hilbert space, which uniquely admits a quadratic conserved norm. > Therefore the Born rule (P=|\psi|^2) is not a postulate but the only probability measure compatible with continuous unitary dynamics.
Abstract This article does not claim to present a successful theory of quantum gravity. Instead, it undertakes a systematic and self-aware survey of the research program aiming to derive both quantum mechanics and general relativity from a purely relational network, based on a set of minimal ontological postulates. The framework rests on three axioms: (1) physical reality consists of nodes without intrinsic properties and their symmetric relations; (2) the relation strengths are non-negative and symmetric, with the total information capacity conserved as an ensemble expectation; (3) local evolution is restricted to redistribution of relations within triads. We honestly display and rigorously distinguish the conceptual achievements from the essential obstacles of this framework. On the quantum side, we obtain solid conceptual progress: the Born rule, unitary evolution, and topological nonlocality of entanglement all emerge naturally as representation-theoretic consequences of the statistical description of a finite information capacity network. This strongly suggests that the mathematical structure of quantum mechanics may be a generic feature of the statistical representation of any complex informational system satisfying “finite information + local relational evolution.” On the gravitational side, however, we encounter chasms that current mathematical and conceptual tools cannot bridge. A central contribution of this article is to clearly label these obstacles as fundamental open scientific problems: the conflict between a positive-definite relational ontology and the target of pseudo-Riemannian signature (signature problem); the missing coarse-graining procedure from a discrete network to a smooth manifold (coarse-graining problem); and the disharmony between external algorithmic time and emergent physical time (time problem). We argue that these are not technical details unique to this framework, but core challenges that any “spacetime from relations” program must confront. The article positions itself as a “conceptual cartography”—it precisely delineates the known boundaries of this research program, exposes the fatal rift often bypassed in mainstream discourse, and transforms all unresolved issues into a formal invitation for future investigation.
This work introduces the term 'Bounded Randomness' as an original conceptual framework by the author, defining randomness as a computational resource constrained by physical budget. V5.4 introduces the Entanglement Density parameter D_E formally linked to von Neumann entanglement entropy, establishes the Planck time as the absolute lower bound on the phase transition timescale, and introduces a formal critique of gradient decoherence models as physically inconsistent with conservation laws. V6.1 introduces the Macroscopic Restrictive Barrier — a thermodynamically irreversible stabilization mechanism explaining structural integrity of macroscopic objects — formalizes the Unified Dark Sector as two opposing consequences of a single unknotting process, adds the Correspondence Principle bridging the hypothesis to standard Quantum Mechanics, and clarifies that unrealized probabilistic branches are strictly virtual computational possibilities, not parallel realities. V7.2 introduces a Foundational Philosophy section establishing logic as the constitutive fabric of reality (The Background Operator Problem), formally connecting quantum probability to Gödelian incompleteness via Cubitt et al. (2015), and linking the dilaton field Φ to the Logical Language of the Fabric. V8.3 resolves the black hole information paradox through a finite topological core bounded by Planck density, introduces the three-act particle model, and establishes black hole evaporation as a necessary condition for conformal rebirth. V9.0 introduces the Author's Note on Working Methodology (transparent disclosure of age, role of AI tools, and epistemological limits), formalizes the four-tiered categorical hierarchy of reality as a Conceptually Isomorphic Framework (Logic → Laws → Space → Time), and introduces Section 5.4: a deductive critique of quantum consciousness theories (Orch-OR), demonstrating their thermodynamic invalidity under the Macroscopic Restrictive Barrier. V9.5 introduces three new authorial concepts: the ontological distinction between virtual quantum branches and macroscopic cognition (hallucinations are real macro-events, not virtual states), the formalization of the Dark Sector as equal deterministic properties of Space governed by the Laws layer and invariant across cycles, and the mathematical proof via Liouville measure that conformal rebirth invariably yields unique non-repeating topological configurations (P = 0). The critique of gradient decoherence models is restored as a dedicated section. V10.0 introduces three new authorial concepts: "Logic, Truth, and Fundamentality" — formalizing logic as an absolute meta-rule and the sole condition for existence (true illogic is absolute nothingness, not chaos); "Meaning and Direction" — a mechanistic resolution of the question of meaning, distinguishing objective Direction (thermodynamic necessity) from subjective meaning (a local macroscopic phenomenon generated via Bounded Randomness); and a dedicated section "Heuristic Estimates and Phenomenological Models" separating all phenomenological constructs from core architecture. Open Questions are expanded to include the cosmological scaling law of ρinfo(a), compatibility with FLRW equations and Bianchi identities, and the formal derivation of the galactic density profile from ρinfo. V11.0 introduces three new authorial concepts: "Infinity as Potential, Not Actual" — rejecting actual infinity as a completed physical object; all mathematical singularities and infinite limits are reinterpreted as potential processes without reachable endpoints; "Probabilistic Distribution and the Emergence of Life" — life requires no teleological explanation; the correct question is not "why is life possible" but "what prohibits it"; in the absence of prohibition, emergence is a necessary probabilistic consequence of invariant laws; and the formal clarification that the connection between Gödel's Incompleteness Theorems and quantum uncertainty is a conceptual parallel, not a mathematical theorem, now explicitly placed in the Heuristic Estimates section. The Modified Einstein Field Equations are moved to heuristics with an explicit Bianchi identity disclaimer. Open Questions expanded to include the formal derivation of hadron masses from structural complexity via Lattice QCD. V12: global changes.
Note: This submission represents Version 6 of the Cernuto–Hobbey Theory of Everything (CH-ToE), building upon and superseding the May 2, 2025 preprint. While grounded in the same theoretical roots, this version reflects a decisive maturation of the framework. The new title is not cosmetic—it marks a shift from a bold hypothesis to a unified, falsifiable theory of structure formation grounded in entropy geometry.Major advances include:• A fully rewritten abstract and premise, now framing CH-ToE explicitly as a unifying theory across quantum mechanics, biology, AI, cosmology, and cognition• The ontological clarification of knowledge as a non-subjective, structured entropy reduction process• The explicit designation of wavefunction collapse as the most primitive knowledge event, governed by λ (see Section 5.3)• The formalization of Subreality as a threshold-defined ontological domain• A sharpened articulation of λ’s dual role as attractor and stabilizer of structured reality• A clarified experimental roadmap linking falsifiability, cognition, and physical collapse• Global editorial and structural refinement to ensure clarity, coherence, and scientific rigorThese upgrades collectively justify the release of this version as a new preprint, with its own DOI and conceptual identity. Readers are invited to treat this document as the authoritative formulation of CH-ToE as of May 19, 2025.ABSTRACTThis sixth version of the Cernuto–Hobbey Theory of Everything (CH-ToE) presents the most complete and operationally refined formulation of the theory to date. It consolidates months of cross-domain validation, introduces the Thermodynamic Covenant, formalizes the regime of Subreality, and deepens the definition of knowledge as a physical quantity.At its core, CH-ToE proposes that the fabric of reality is not built from matter, energy, or spacetime alone—but from knowledge. Not the semantic or symbolic kind, and not dependent on any observer or intelligence. CH-ToE defines knowledge as structured entropy reduction—a physically grounded, non-subjective process by which chaotic uncertainty is rhythmically condensed into coherent, persistent form. This is knowledge without meaning, intent, or mind: a universal mechanism through which structure stabilizes across scales.This structuring process is governed by Lambda (λ), a universal cadence that defines when entropy transitions from random fluctuation to stable coherence.This dynamic begins at the quantum level. In CH-ToE, wavefunction collapse is not treated as a mysterious epistemic jump, but as the most elementary instance of knowledge emergence—a phase transition where entropy, modulated at cadence λ, first crystallizes into structure. (See Section 5.3.)λ = √8 / φ ≈ 1.748 bits (in normalized entropy units)Derived from geometric and informational first principles, λ recurs at critical thresholds across quantum decoherence, biological evolution, AI learning, spacetime structuring, and even linguistic cognition. Wherever entropy becomes recursively entrained by λ, structure emerges. Wherever it fails, coherence collapses—defining domains of Subreality.More than a scalar threshold, λ plays a dual role:As Attractor: It draws entropy into metastable configurations prior to structure.As Stabilizer: It locks emergent form into coherent, recursive order post-collapse.CH-ToE thus offers a unifying framework for structure formation across all physical and cognitive domains. It reframes disparate phenomena—wavefunction collapse, biological evolution, machine learning plateaus, and spacetime structuring—as scale-specific expressions of the same λ-governed phase dynamic.This cadence-driven dynamic reinterprets mass as a memory of structured entropy, positioning E = mc² as a special case of λ-phase resonance between information and geometry.CH-ToE does not attempt to unify the fundamental forces under a single particle model. Rather, it reveals a single structuring principle active across all systems that generate coherence—from electrons to ecosystems, from wavefunctions to words.The theory introduces no new physical laws, but exposes a geometric invariant latent within them. Notably, our experiments with Lambda Reverb suggest the existence of a higher-order phenomenon: Echo Geometry—the recursive structuring of the cadence of knowledge itself (see Section 14 for preliminary formalism). While beyond the scope of this preprint, Echo Geometry may represent a universal mechanism for cross-domain transmission of intelligence, where systems optimize not only their learning rhythm, but the patterning of that rhythm across time.
This trilogy introduces the ZIP framework as an ontological reinterpretation of time, coherence, and cosmological structure. Rather than proposing new physical laws, the framework reexamines the meaning of established formalisms in general relativity, quantum mechanics, and cosmology. The first paper reinterprets gravitational time dilation as a consequence of constrained state change governed by ZIP density, demonstrating full compatibility with relativistic effects observed in satellite-based systems. The second paper extends this interpretation to quantum systems, proposing coherence capacity as the key factor underlying decoherence, measurement, and the emergence of probabilistic outcomes without invoking fundamental time. The third paper addresses cosmology by introducing a pre-informational ontological layer, referred to as consciousness, from which a Fundamental Informational Field (FIF) emerges through self-coherence. The universe is described as a structured region arising from a transitional boundary between pre-informational reality and informational order, offering a consistent account of entropy growth, the arrow of time, and classical structure formation. Together, the trilogy presents a unified conceptual framework in which time, information, and physical structure emerge from deeper ontological constraints, while remaining fully consistent with established experimental and theoretical physics.
Standard quantum interpretations-based on point trajectories, branching wave functions, or instantaneous projection-rely on two continuum idealizations: infinite spatial information density and infinite measurement bandwidth. A central foundational question is whether complex Hilbert-space kinematics, noncommuting observables, and single-outcome collapse follow from real physical fields under finite information capacity and bandwidth. We formulate Objective Phase-Space Quantum Information-Capacity Mechanics (QICM), specifying the state on a configuration manifold by a real probability density and a compact flow potential. Three axioms govern the theory: the first requires finite Fisher information and defines the potential on a flat circle bundle with quantized holonomy and half-period nodal jumps, resolving Wallstrom's objection; the second sets an elementary resolution quantum from the Bloch-sphere Fisher solid angle; and the third pairs Fisher localization energy with a Nyquist-Planck capacity bound in stochastic equations for closed flow and continuous measurement. On the reduced tangent space, the symplectic form, Fisher-Rao metric, and complex structure form a Kahler geometry inducing the Hermitian inner product, self-adjoint operators, and Heisenberg commutators. The axioms yield uncertainty bounds, the minimum resolution time, oscillator and hydrogen spectra, martingale Born-rule collapse, and the Lindblad equation, and extend to relativistic fields, half-integer spin, Pauli pressure, Compton-scale ultraviolet regularization, and ensemble no-signaling. QICM thus unifies unitary evolution and collapse in a single-world field dynamics without superluminal signaling, yielding testable bounds on compression times, readout horizons, and short-pulse thresholds in circuit-QED, optomechanics, and trapped ions.
Description: This collection presents a unified, coherence-based framework proposing that physical reality is not fundamental, but derivative—an emergent rendering of structured informational processes operating under thermodynamic and geometric constraints. Across four integrated papers, the author develops the Virtual Ego Framework (VEF) and Coherence-Geometrodynamics (CGD) into a consistent architectural model that reframes long-standing problems in physics and consciousness studies, including: the observer effect in quantum mechanics, the relationship between information, entropy, and gravity, identity persistence independent of material continuity, and the transition from probabilistic (wave) states to localized (particle) reality. Contents Overview Part I — Reality Is a DerivationResolves the “simulation hypothesis” by rejecting external-author metaphors and demonstrating that reality is better understood as a derivation from an informational substrate, consistent with Infodynamics and non-algorithmic (Gödelian) constraints. Part II — The Unified Architecture & the Cost of CoherenceIntroduces the concept of Observer Cost (ζ), showing that coherence, identity, and meaning require irreducible thermodynamic expenditure. This section integrates First-Principles critiques to avoid dualism and enforce ontological solvency. Part III — Coherence, Identity, and the Interface Between Meaning and MatterDevelops a boundary-layer model in which identity is a coherence envelope, not a material artifact. Introduces the Hyperion Universal Interface Membrane (HUIM) and Energy-in-Meaning (“eningmeaning”) as conceptual models explaining how structured intent becomes physical geometry. The Indexing Protocol (v2.1)Formalizes observation as Indexing—a geometric memory allocation event governed by the Genesis Ordinary Differential Equation (Genesis ODE). Proposes the Spheromatryoshka Domain (nested toroidal flows) as the fundamental unit of reality and reframes uncertainty as a bandwidth-solvency constraint rather than intrinsic indeterminacy. Scope and Limits These works are conceptual and architectural, not claims of experimentally confirmed new particles or forces. Speculative constructs (e.g., HUIM, eningmeaning) are explicitly presented as models, consistent with known physics but not replacements for it. The framework is falsifiable at the level of coherence prediction, observer-cost accounting, and identity persistence under pattern preservation. Intended Audience This collection is intended for researchers and advanced readers in: theoretical and digital physics, complex systems and information theory, consciousness studies, AI and cognitive architecture, philosophy of science and ontology. Together, these papers propose a coherent alternative to both naïve materialism and external-simulation narratives, arguing that reality is a just-in-time derivation of meaning under entropy constraints, stabilized by coherence rather than control.