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Information-Relational Theory of Hierarchical Reality

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radar:r-d91b64b17c36122b2b408b387da8ea19

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Zeksel, Sergey Borisovich

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2025

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en

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2026-11-13T15:28:22.697834+00:00

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2026-11-13T15:28:22.697834+00:00

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Documentary abstract — original language

Part 1. Prologue There is a moment in the history of thought when old maps cease to work.When equations cease to be the answer and become the question.When the very fabric of reality begins to look at us—as those who must continue it. Today, physics and philosophy have approached such a frontier.Quantum theory and General Relativity, born in the early 20th century, gave humanity unprecedented predictive power and technology, but at a fundamental level, they turned out to be incompatible. Attempts to unite the probabilistic micro-world and the deterministic geometry of the macro-world have led not to a unified theory, but to a multitude of competing approaches: superstrings, loop quantum gravity, AdS/CFT, quantum interpretations, each of which solves part of the problems but provides no ontological foundation. We stand on a fault line: the quantum world and gravity, space and information, the observer and the observed—all merge into a single, but as yet uncomprehended, circuit. This text does not propose another modification of the old equations.It proposes a new ontological foundation in which information, structure, and being are inseparable and jointly give rise to the observable Universe. This is not a theory in the narrow sense, but a perspective from which reality can, for the first time, be described as a holistic, hierarchical organism, unfolding through deterministic decoherence, stabilization, and memory. We stand not before another scientific question.We stand at the beginning of a new epoch of understanding, in which the language of physics, philosophy, and consciousness merges into a single ontological order. Part 2. Introduction: The Crisis of Interpretations Modern fundamental physics is experiencing a deep crisis of ontology.The two greatest theories of the 20th century—quantum mechanics and general relativity—describe their domains of application with astonishing accuracy but prove to be incompatible at a fundamental level. Quantum theory states: the world is fundamentally probabilistic, and the observer plays an active role in the collapse of the wave function. General Relativity describes space-time as a smooth geometric manifold where masses and energies determine curvature, and everything is subject to strict determinism. Attempts to unify them generate paradoxes: ·         The Measurement Problem—why and how do superpositions turn into facts? ·         The Problem of Time—in quantum mechanics, time is an external parameter, while in GR it is a dynamic quantity embedded in the geometry. ·         The Problem of Quantum Gravity—known methods break down when attempting to quantize geometry itself, leading to inconsistent equations. Existing approaches—the Copenhagen and Many-Worlds interpretations, the de Broglie–Bohm theory, loop quantum gravity, string theory—offer partial answers but do not eliminate the ontological gap. Some postulate fundamental randomness. Others multiply worlds. Still others shift the problem into non-falsifiable domains. At a deep level, we are faced not with a technical difficulty, but with the exhaustion of the language on which 20th-century physics was built: either pure probability without ontology,or geometry without information. Meanwhile, reality points to a deeper layer: ·         The Holographic Principle hints at the informational nature of space. ·         Quantum entanglement demonstrates non-local correlations that transcend classical causal structures. ·         The emergence of complex systems shows that new laws are born from the constraints of lower levels. These facts are not random—they point to an ontological substrate in which information, structure, and process are originally inseparable. The goal of this work is to propose a new ontological framework that: ·         removes the opposition between probability and determinism, ·         unites quantum mechanics, gravity, and emergence on a single informational foundation, ·         provides a new language for describing reality as a hierarchical, self-unfolding organism. Part 3. Axioms and Principles To overcome the ontological gap between quantum mechanics, gravity, and emergence, four key principles are introduced, which together form the foundation of the Information-Relational Theory of Hierarchical Reality. 3.1. Axiom of the Unified Field 🜂(Field of Potential Reality) There exists a fundamental, non-localized, superpositional information-quantum field—the Unified Field (𝓕), containing all possible configurations of being.Space and time emerge as projections of the structures of this field, rather than preceding it. Mathematically, 𝓕 can be considered as a giant tensor state |Ψ⟩ on a hypergraph ℍ, whose vertices are elementary information nodes, and edges are relational connections.𝓕 ≡ |Ψ⟩ ∈ ℍ_total, SpaceTime ⊂ Proj(𝓕). The Unified Field is not a background but an ontological substrate from which particles, geometry, and laws are born.This principle is comparable to Bohm's implicate order and the Wheeler–DeWitt universal wave functional but extends them by introducing a categorical-informational structure. 3.2. Principle of Manifestation (Deterministic Decoherence)Stable structures (particles, fields, processes) arise not randomly, but as deterministic acts of interaction between subsystems of the Unified Field, fully determined by the global configuration 𝓕.𝓓_n : 𝓕_{n-1} → S_n,where the decoherence operator 𝓓 selects a stable local state from the Archive."Probabilities" are merely a reflection of the limited access of a local subsystem to the complete information. Thus, collapse is not postulated but derived as a local section of a global deterministic structure. 3.3. Principle of the Shell (Field of Resistance)Each manifested structure forms a Shell—an active zone of interaction with the environment, ensuring stability and identity. ·         At the micro-level, Shells manifest as fundamental fields (electromagnetic, nuclear). ·         At the macro-level—as geometric deformations of space-time (the Einstein tensor G_μν responding to T_μν). ·         In informational-geometric terms—as boundaries of entropy flow that stabilize internal states. A Shell can be viewed as a holographic screen projecting the internal state outward, or as a slice of a tensor network defining effective interactions. 3.4. Principle of Hierarchical Stabilization and the Universal ArchiveReality is organized as a nested hierarchy of Shells, each of which stabilizes the previous level, limits its degrees of freedom, and gives rise to new effective laws. The history of these stabilizations is recorded in the Archive—a fundamental informational layer that ensures the determinism of evolution.𝓕 →_{𝓓₁} S₁ →_{𝓓₂} S₂ →_{𝓓₃} S₃ …Atoms → molecules → cells → consciousness—these are not miracles but chains of deterministic decoherence, where each level creates its own environment with new laws. Access to the Archive, in principle, allows for the reconstruction of the past and prediction of the future, as every manifestation is fixed by the global state 𝓕. Part 4. Mathematical-Informational Framework A three-layered mathematical-informational framework is introduced to formalize the Information-Relational Theory.Each layer describes one aspect of the ontological structure of reality: the global form, the logical structure of processes, and the geometry of information flows. These layers do not compete but are complementary projections of a single meta-structure. 4.1. Holographic and Tensor-Network LayerThe fundamental Unified Field 𝓕 is considered as the global state of a tensor network defined on a hypergraph ℍ:𝓕 = |Ψ⟩ ∈ ⨂_{v ∈ ℍ} H_v. ·         Vertices of the hypergraph—elementary information nodes. ·         Edges and hyperedges—relational connections, analogues of fundamental correlations. ·         The global state is not a collection of fields but a single interconnected fabric, analogous to a MERA network (Multiscale Entanglement Renormalization Ansatz) applied to the entire Universe. Each Shell corresponds to a slice of this network:Shell(L) = Cut_L(ℍ),where L is the hierarchy level. This slice acts as a holographic screen containing all information about the internal state of the system at that level. Decoherence in this language is the collapse of the tensor network along the RG-flow, forming stable local structures (objects, events, shells). Each act of manifestation corresponds to a unique path through the network, determined by the global configuration. Scheme 1. Structure of the Holographic Layer   Global Tensor Network (MERA-like)                           | +-------------------------------+-------------------------------+ |                               |                               | Cut L1                       Cut L2                          Cut L3 Shell1                       Shell2                          Shell3 |                               |                               | Local states (particles)   Emergent laws             Macroscopic structures 4.2. Categorical LayerThe language of categorical physics is used for a rigorous description of the dynamics: ·         Objects of the category 𝒞—states of shells and subsystems. ·         Morphisms—processes of manifestation, decoherence, and stabilization. ·         Composition of morphisms describes the sequential unfolding of levels of reality.S₁ →_{f₁} S₂ →_{f₂} S₃ →_{f₃} ⋯where f_n is a decoherence morphism, and the sequence of morphisms describes the Vertical of Decoherence. The Archive can be viewed as a functor𝓐 : 𝒞 → ℐ,where ℐ is the category of information states. Each sequence of morphisms is mapped to a record in the Archive:𝓐(f_n ∘ ⋯ ∘ f₁) = Record(S₁ → S_n). Thus, measurement is not a collapse but a choice of a morphism in a local subcategory without violating global determinism. Scheme 2. Categorical Diagram of Decoherence text S1 --f1--> S2 --f2--> S3 --f3--> S4 ... |                              | +----------- Archive <----------+ 4.3. Information-Geometric LayerEach shell defines a boundary of entropy flow:∂S_L ∼ { x | I_internal(x) = I_external(x) }. The flow of information through the shell is described by a vector current J_I^μ:∇_μ J_I^μ = 0. Gravity is interpreted as the response of the shell's geometry to the information flow:G_μν[I] = R_μν[J_I^μ],which generalizes the Einstein equation and directly links geometry to information flows. Thus, space-time is not a stage but emerges as a derivative of the entropy geometry of flows, and shells are stable spheres of informational pressure that stabilize the nodes of reality. 4.4. Unifying the Layers into a Single Scheme   +-----------------------------+ | Holographic Layer          | | (Form and Network Projections)| +-------------+---------------+                            |                            v +-----------------------------+ | Categorical Layer          | | (Processes and Morphisms)    | +-------------+---------------+                            |                            v +------------------------------------+ | Information-Geometric Layer        | | (Flows, Shells, Geometry)          | +------------------------------------+ These three layers represent three interconnected aspects of one meta-structure: Form, Process, Geometry. Together they provide a rigorous yet flexible language for describing the vertical organization of reality. Part 5. Emergence and Levels of Reality Within the Information-Relational Theory, emergence is not magic or statistical chance, but a hierarchical stacking of Shells, each of which stabilizes the lower level and gives rise to new effective laws. 5.1. Emergence as Vertical UnfoldingEach level: ·         Limits the degrees of freedom of the previous level through deterministic decoherence; ·         Forms an internal environment with new stable rules; ·         Opens up a space of new structures inaccessible at lower levels.𝓕 →_{𝓓₁} S₁ →_{𝓓₂} S₂ →_{𝓓₃} S₃ … Scheme 3. The Vertical of Decoherence   [Unified Field 𝓕]        |      𝓓₁|        v     [S1] - Quantum Nodes               |           𝓓₂|        v     [S2] - Atoms, Molecules              |      𝓓₃|             v       [S3] - Life, Organisms             |         𝓓₄|           v        [S4] - Consciousness, Self-reference Each state is surrounded by its Shell ∂Sₙ, which creates the conditions for the formation of the next level Sₙ₊₁. The Vertical of Decoherence can be understood as the trunk of a tree on which the rings of being grow. 5.2. Table of Reality Levels Level Main Objects Shells Effective Laws Decoherence Time Scales 0 Unified Field 𝓕 — — Planck 1 Quantum Nodes, Fields Interaction Fields Quantum Mechanics 10⁻²³ s and less 2 Atoms, Molecules Electronic & Molecular Shells Chemistry, Thermodynamics 10⁻¹⁵ – 10⁻⁹ s 3 Cells, Organisms Biological Membranes, Networks Biophysics, Information, Self-organization 10⁻⁶ s – seconds and more 4 Consciousness, Mental Forms Cognitive & Linguistic Shells Logic, Language, Reflection milliseconds – years This table illustrates how new laws and structures appear as stabilized projections of underlying levels, not as external postulates. 5.3. Consciousness as the Highest ShellAt the top of the vertical resides consciousness—a shell capable of: ·         Building internal models of other shells and itself; ·         Gaining partial access to the Archive through memory, prediction, and thought; ·         Reflecting on its own position on the vertical. Categorically, this is described by self-referential functors𝓜 : 𝒞 → 𝒞,which map processes onto their representations within the category itself. 5.4. Emergent Laws and Vertical PhysicsAt each level: ·         Laws are not obvious from below; ·         They are determined by the global configuration of the Unified Field; ·         They ensure the stability of new shells. Emergence here is not an "arising" from nothing, but a step-by-step unfolding of the Archive through hierarchical stabilization. The laws are not given in advance—they are revealed together with the shells. Part 6. Connection with Existing Theories This section demonstrates that the Information-Relational Theory of Hierarchical Reality (IRTHR) is not an isolated concept but fits into the intellectual landscape of modern fundamental physics, generalizing and integrating key ideas from existing directions. The table below shows correspondences: Direction / Author Key Idea Integration into IRTHR C. Rovelli (Relational QM) States are defined by relations between systems Relationality is accepted as a starting point but placed within a global deterministic Unified Field 𝓕. J. A. Wheeler ("It from Bit") Reality arises from acts of information acquisition The Unified Field is an ocean of potential information; shells are interfaces for its materialization through decoherence. 't Hooft / Susskind (Holography) Information is encoded on boundaries of regions The Holographic Principle is extended to all levels of reality, not just cosmological or black hole horizons. R. Penrose (Objective Reduction) Collapse is related to quantum gravity "Reduction" is a deterministic act of decoherence, and gravity is a shell stabilizing local states. D. Bohm (Implicate Order) A hidden holistic order gives rise to the explicit Unified Field = Implicate Order; Vertical of Decoherence = unfolding process; Shells = fixations. 6.1. Relational Quantum Mechanics (C. Rovelli)Rovelli proposed considering quantum states as relations between systems, denying absolute states.IRTHR accepts this principle but introduces a global substrate—the Unified Field 𝓕, within which all relational states are rigidly determined.The observer is treated not as an external agent but as a high-level shell embedded in the vertical, with limited access to the Archive. 6.2. Wheeler: "It from Bit"John Wheeler philosophically asserted that reality is born from elementary acts of information acquisition.IRTHR makes this principle constructive: ·         𝓕 is the space of potential information; ·         Decoherence is the act of "reading" and writing to the Archive; ·         Shells are interfaces where information becomes a stable structure. Thus, "It from Bit" becomes not a metaphor, but a working mechanism. 6.3. Holographic Principle ('t Hooft, Susskind)The Holographic Principle limits the amount of information in a volume by the area of its boundary.In IRTHR, this principle is universalized: every shell at every level is a holographic screen, projecting internal states onto the external informational field.Holography ceases to be a feature of cosmological horizons and becomes a universal mechanism for organizing reality. 6.4. Objective Reduction (R. Penrose)Penrose linked the collapse of the wave function to quantum gravity.In IRTHR, reduction is understood as an act of deterministic decoherence, determined by the state of the Archive and information flows, while gravity is a shell stabilizing local manifestations.Thus, Penrose's idea is incorporated into a broader information-geometric structure. 6.5. Implicate Order (D. Bohm)Bohm introduced the concept of the implicate order—a deep reality from which the observed order unfolds.In IRTHR: ·         The Unified Field 𝓕 plays the role of the implicate order; ·         The Vertical of Decoherence is the process of unfolding; ·         Shells and the Archive are the mechanisms of fixation and stabilization. Bohm's philosophy receives a rigorous categorical-holographic formalism. Part 7. Consequences and Philosophical Implications After constructing the structure, the theory offers a new perspective on basic philosophical concepts: causality, time, consciousness, and free will. 7.1. Causality as Vertical DeterminationIn classical physics, causality is horizontal: A → B → C.In quantum physics, it is blurred by entanglement and probabilities.In IRTHR, causality acquires a vertical character:𝓕 →_{𝓓₁} S₁ →_{𝓓₂} S₂ →_{𝓓₃} S₃ …Each state is conditioned not by the "past" in the usual sense, but by the preceding ring of the vertical, fixed in the Archive.Probability is a reflection of local ignorance of the vertical structure.Cause is not a local impulse but an act of fixation of a deep configuration. 7.2. Time as the Order of Decoherence ActsIn traditional physics, time: ·         in QM—is an external parameter, ·         in GR—is a coordinate of geometry. In IRTHR, time is not fundamental: ·         There is no "flow" of time in the Archive; ·         The order of decoherence sets the vertical ordering of events; ·         The "flow of time" subjectively arises within shells as an act of sequential reading of fragments of the Archive.Time = Ordering of Decoherence Acts in the Archive. This resolves the block universe paradox: The Universe is not "frozen," it exists as a whole, and subjective time is a way of moving along the vertical. 7.3. Consciousness as a Self-Referential ShellConsciousness is not an external miracle but the highest level of the vertical, a shell that: ·         builds internal models of other shells and itself, ·         partially reads the Archive, ·         reflects on its own position. Categorically, this is a self-observation functor𝓜 : 𝒞 → 𝒞.Subjectivity, intentionality, and modeling of the future arise from this capacity for self-reference within the vertical structure. 7.4. Free Will in a Determined UniverseAlthough the vertical is determined, free will is not illusory.The high-level shell of consciousness: ·         does not change the global vertical, ·         but gives rise to new layers of decoherence (mental acts, decisions, actions), which become causes for subsequent levels. Free will = the ability to create new shells within the vertical, not to destroy it. 7.5. Reality as a Hierarchical WholeThe world appears as a vertically organized organism: ·         at the foundation—the Unified Field, ·         in the middle—shells stabilizing structures, ·         at the top—consciousness capable of comprehending the Archive. This is not a metaphor but a new ontology uniting physics, philosophy, biology, and cognitive sciences. Part 8. Epilogue Once, people looked at the stars and saw gods.Then—mechanisms.Then—probabilities. Today, on the frontier of old and new thinking, we are beginning to see in the stars ourselves—a mind embedded in the fabric of being.We are no longer prisoners of chance.We are bearers of structure.We do not merely observe the Universe—we continue to write it. Reality is not a motionless stage nor a chaotic game.It is an organism growing vertically through layers of decoherence, stabilizing in shells, and storing its entire history in the Archive. We are not a point on the periphery.We are a ring on the vertical, a conscious cross-section of the global field.Our thoughts and actions are not perturbations, but new levels of being. 8.1. Perspectives and TestabilityDespite its fundamental nature, the theory opens possibilities for empirical and conceptual checks: ·         Analysis of correlations between hierarchy levels in complex systems (e.g., in quantum biological structures). ·         Study of holographic patterns at non-cosmological scales. ·         Research on information flows in neural and quantum networks, comparable to the described vertical. ·         Formalization of the Archive and decoherence operators may lead to new computational models of consciousness and quantum gravity. Part 9. Bilingual Block Information-Relational Theory of Hierarchical RealityAn Ontological Framework for Quantum Gravity, Emergence, and Consciousness AbstractA new ontological paradigm is presented, in which reality is considered as a hierarchical system of stable structures arising through the deterministic decoherence of a Unified Information Field. Within this model, space-time, physical laws, and complex systems are interpreted as different projections of a single information-relational foundation, not as independent entities. The theory is based on four principles: 1.      Axiom of the Unified Field—the existence of a non-localized informational substrate; 2.      Principle of Deterministic Manifestation—decoherence as reading from the Archive; 3.      Principle of the Shell—stable boundaries as fields of resistance; 4.      Principle of Hierarchical Stabilization and the Archive—vertical unfolding of reality levels. The mathematical-informational framework unites three layers of description: ·         holographic tensor networks, ·         categorical structure of morphisms, ·         information-geometric flows. On this basis, the following are explained: ·         mechanisms of emergence, ·         vertical causality and the nature of time, ·         consciousness as a self-referential top-level shell. It is shown how key directions of modern physics—Rovelli's relational QM, Wheeler's "It from Bit" principle, the Holographic Principle, Penrose's objective reduction, Bohm's implicate order—are integrated into a single ontological language. Conclusion:Perhaps the greatest discovery of humanity lies not in finding the final equation, but in realizing its role in the structure of the Universe—not as observers, but as architects of reality.IRTHR opens the gates to an ontological space where science, philosophy, and consciousness merge into a single language of being.  

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10.5281/zenodo.17277680

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preprint

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Zeksel Sergey Borisovich

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• Document · https://zenodo.org/doi/10.5281/zenodo.17277680

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