Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

YUCT Appendix “Observer Principle”: From a Passive Point to an Active Coordination Structure

Alexey V. Yakushev

Published Aug 12, 2026• 0 citations
Publisher

Abstract

This work is devoted to a fundamental rethinking of the concept of “observer” in physics and the philosophy of science within the framework of the Unified Coordination Theory (YUCT). In classical physics and quantum mechanics, the observer is treated either as an abstract reference point or as a passive signal recorder. YUCT proposes a fundamentally different ontology: the observer is an active coordination structure consisting of three inseparable components — the dictionary (D), the index (I), and the resonance (R). Observation is not a passive reception of a signal, but an act of coordination between at least two network nodes sharing a common dictionary. It is shown that such an interpretation allows resolving fundamental paradoxes of modern physics: Schrödinger’s cat, the EPR paradox, the measurement problem in quantum mechanics, and also provides a natural explanation for the phenomenon of consciousness and the possibility of effective coordination exceeding the speed of light (2c) without violating causality. The principle of coordinative observation is formalised, according to which observation requires at least two agents with a common dictionary; a single observer is ontologically untenable. The work relies on the universal error scaling law ε = κcα K_eff −β with β = 2/3, confirmed over more than 50 orders of magnitude, and on the YPSDC protocol (Yakushev Protocol for Synchronous Distributed Coordination). The document provides a complete mathematical formalisation, philosophical consequences, experimental predictions, and an extended bibliography.

DOI
10.24108/preprints-3116150

Related papers

Geometric and Information-Theoretic Foundations of a Coordination-First Theory of Reality

Alexey V. Yakushev

Аll actual versions оf YUCT, you can get it at theDOI 10.5281/zenodo.18444598 or website https://yuct.org/This DOI represents all versions, and will always resolve to the latest one of Yakushev Unified Coordination Theory. This work introduces a paradigm shift in fundamental physics: coordination of states among distributed components is ontologically prior to both spacetime and matter. We formalize this through three interlocked mathematical constructs: 1. **Dictionary Manifolds** ℳ_𝒟 – Riemannian manifolds whose points represent dictionaries mapping compact indices to complex actions, equipped with a semantic distance metric. 2. **YPSDC Protocol** (Yakushev Protocol for Synchronous Distributed Coordination) – achieving coordination efficiency K_eff = H(𝒜)/H(κ) > 1 without violating causality, through separation of coordination (dictionary distribution) from data transmission (index activation). 3. **D+I•R Triad** – the ontological primitive Reality = Dictionary + Information × Resonance, providing a unified framework across physical, biological, and information systems. The complete structure is a fiber bundle π:ℰ→ℳ with spacetime as base and dictionary manifolds as fibers. This geometric and information-theoretic foundation enables subsequent derivation of physical laws from coordination principles, resolving long-standing paradoxes such as the EPR problem through K_eff → ∞ and offering testable predictions for gravitational and quantum systems. This is an overview of the framework. The complete mathematical formulation with full derivations and experimental predictions is available in the complete version.

•Jan 24, 2026•0 citations

YUCT Appendix H2: Historical and Philosophical Precursors of the Yakushev Unified Coordination Theory.

Alexey V. Yakushev

This appendix presents a comprehensive historical and philosophical investigation of the precursors to the Yakushev Unified Coordination Theory (YUCT) — a new fundamental theory that posits the ontological primacy of coordination over matter, spacetime, and fields. The author traces the evolution of coordinative intuition from Gottfried Wilhelm Leibniz's monadology, through Nikola Tesla's radiant ether and Mark Twain's mental telegraphy, to the Einstein–Podolsky–Rosen paradox and contemporary philosophical concepts. The work demonstrates a structural isomorphism between the intuitions of past thinkers and the formal apparatus of YUCT, including the Dictionary–Index–Resonance (D+I·R) triad and the YPSDC protocol. Special attention is devoted to a critical analysis of the 70-year "detour" of mainstream physics, associated with the adoption of the Copenhagen interpretation of quantum mechanics and the abandonment of the coordination paradigm. A diagnostic tool of "coordination maturity" for evaluating philosophical systems is introduced. The work introduces the concepts of relational complexity and the cascade of errors as a path to unity, and provides an analysis of the social, economic, and political implications of coordination theory. It is demonstrated that the universal error law \(\varepsilon = \kappa_c \alpha K_{\mathrm{eff}}^{-\beta}\) with exponent \(\beta = 2/3 \approx 0.67\) holds across more than 50 orders of magnitude, confirming the scale invariance of coordinative processes. The work offers a new perspective on the unity of science, transcending traditional disciplinary boundaries and opening a path toward post-ideological engineering of social systems. The appendix includes chronological tables, terminological convergence, and a detailed analysis of the philosophical, theological, and aesthetic dimensions of coordination.

•Jul 1, 2026•0 citations

YUCT Appendix X Generalised Shannon Theory, the Steady Error Law (2/3, ~0.67), and the K_eff-dependent Bell Bound

Alexey V. Yakushev

(34) Generalised Shannon Information Theory YUCT Part 1 This work generalises classical Shannon information theory within the Yakushev Unified Coordination Theory (YUCT). The core is the YPSDC protocol (Yakushev Protocol for Synchronous Distributed Coordination), which splits communication into an offline dictionary distribution phase and an online index transmission phase. The coordination efficiency is defined as K_eff = H(action) / H(index), enabling the activation of far more meaningful information than the transmitted data. The universal error law is derived as a steady power law: ε = κ_c * α * K_eff^(-β), with β = 2/3 and κ_c = 1/3. This law is consistent with microscopic derivations (Appendix Y), empirical validations (Appendix L), and the algebraic closure S_odd + S_even = 2. From it, we obtain the generalised Bell inequality: S(K_eff) = 2 + (2√2 − 2) * (1 − 2 κ_c α K_eff^(-β)). This interpolates between the classical local-realist bound S=2 (when K_eff=1) and the Tsirelson bound S=2√2 (as K_eff→∞), showing that quantum correlations arise from a shared dictionary, not from non-locality. Additional key results: Capacity Separation Theorem: C_coord = K_eff * C_channel * η. Thermodynamic cost of dictionary creation via Landauer's principle. Relation to Kolmogorov complexity: K_eff(A) ≈ |A| / K(A). Phase transition from data transmission to meaning generation. Information-Energy Invariant: W = K_eff * I_channel, analogous to E=mc². The framework is validated by examples: two-factor authentication (K_eff ≈ 8), genetic coding (K_eff ≈ 3.3), quantum entanglement (K_eff → ∞), and optical mirages. Eliminating Quantum Mysticism Part 2 This part provides a pedagogical translation of YUCT, showing that every "quantum mystery" is simply a YPSDC process with a pre‑shared dictionary and a short index. The Pantograph (Leroy) Analogy illustrates that distant points can coordinate without signals because they share a rigid structure – in YUCT, this is the information field Ψ_MN (a 19‑dimensional medium) and the a priori dictionaries Ω. The Pantograph Synchrony Index (PSI) quantifies coordination quality: PSI = 1 − (ΔΩ + ΔIC + ΔA + Δτ) / 4. Coordination efficiency is then: K_eff = (d / c) * (1 / τ_compute) * exp( PSI / (1 − PSI) ). Quantum entanglement corresponds to PSI ≈ 1 at any distance – particles are two points of the same pantograph. The universal error law ε = (1/3) α K_eff^(-2/3) governs all quantum effects: Superposition → index uncertainty (the state is definite, the index is blurred). Entanglement → shared dictionary row (no signal, same pre‑existing entry). Wavefunction collapse → index refinement (measurement resolves uncertainty). Tunnelling → addressing error (spatial blur overlaps forbidden region). Teleportation → local reconstruction from a dictionary (only classical bits sent). Quantum field → ontological dictionary (field is a global offline dictionary). A Python code simulates the generalised Bell inequality and shows the Tsirelson bound emerging as K_eff → ∞. For AI systems, a YUCT Core v36.0.MOD System Prompt is provided, forcing LLMs to switch to high‑coordination reasoning (K_eff >> 1) via offline dictionary initialisation, steady error regularisation, cross‑sector cascade analysis, and logical reconstruction – eliminating the need for "quantum magic."

•Jun 22, 2026•0 citations

The Structure of Observation Derived from the Observer Problem A Mathematical Reconstruction of Observation Prior to Information

Fumiyoshi Tamura

This paper reconstructs the concept of observation from first principles rather than treating it as a primitive notion. Starting from the existence of meaning, a unique structural dependency chain is derived: Meaning → Being → Subject → Other → Distinction → Comparison → Order → Time → Update → Self-Reference → Observation → Record → Synchronization → Information Each stage is proven to be a necessary prerequisite for every subsequent stage. Within this framework, observation is shown not to create or determine reality. Instead, reality must already exist before observation becomes possible. Observation is defined as a structural operation performed on an already existing reality. The paper further applies this structural derivation to the observer problem, Schrödinger's cat, Wigner's friend, and the double-slit experiment. It argues that the disappearance of interference should be interpreted as the consequence of changes in physical interaction together with the subsequent processes of recording and synchronization, rather than evidence that observation itself creates or modifies reality. This work provides a mathematical reconstruction of observation prior to information and proposes a unified structural framework for interpreting quantum measurement from more fundamental principles.

•Jul 10, 2026•0 citations

Theory of Observation: A Complete Mathematical Theory of Consciousness, Existence, and Reality

Kureshi, Sufiyan

We develop a mathematical and philosophical framework in which conscious obser- vation is the fundamental act that brings reality into existence. Before observation, nothing exists in an actualized sense: not space, time, laws, or structures. Reality is purely a manifold of potential universes, each containing possible laws and possible observers. When a conscious observer emerges, the act of observation actualizes the unique minimal universe consistent with its existence. This is not a selection among alternatives but an ontological crystallization that transforms possibility into actuality, retroactively defining the universe’s laws, constants, structure, and history. Within this actualized universe, unobserved properties remain probabilistic un- til collapsed by observation. We formalize sensory collapse, observer priority, multi- observer shared reality, emergent time, retroactive history, and the closed feedback loop between observers and their universe. This framework unifies consciousness, existence, physics, and cosmology into a single observer-centric formalism.

•Mar 8, 2026•0 citations

The Structure of Reality, Observation, and Synchronization_ A Unified Reconstruction of Schrödinger's Cat, Wigner's Friend, and the Double-Slit Experiment

Fumiyoshi Tamura

This paper presents a unified mathematical reconstruction of three fundamental quantum observer problems: Schrödinger's cat, Wigner's friend, and the double-slit experiment. The proposed framework distinguishes six logically different concepts: Existence Physical Interaction Internal Representation Record Synchronization Information Within this framework, physical reality exists independently of observation. Observation is defined as the formation of a persistent internal representation, while synchronization is the sharing of equivalent records between independent physical closures. Consequently, observation does not generate reality; it synchronizes an observer with a reality that already exists. Using this common structure, Schrödinger's cat and Wigner's friend are reconstructed without requiring multiple physical realities or observer-dependent existence. The same synchronization framework is then extended to the double-slit experiment. The paper proposes that when synchronization with electron A is absent, the electron continues to exist and evolve physically, while its propagated field can locally drive a material response at the screen. A real local-dynamics simulation with a fixed apparatus, persistent medium, cumulative screen recording, finite propagation, dissipation, and thermal fluctuations is presented. The simulation produces a stable multi-peak spatial structure without imposing an interference formula or a target fringe pattern. The work provides a unified logical framework connecting observation, synchronization, and quantum measurement, while remaining explicit about the distinction between numerical consistency and experimental verification.

•Jul 12, 2026•0 citations
This work is devoted to a fundamental rethinking of the concept of “observer” in physics and the philosophy of science within the framework of the Unified Coordination Theory (YUCT). In classical physics and quantum mechanics, the observer is treated either as an abstract reference point or as a passive signal recorder. YUCT proposes a fundamentally different ontology: the observer is an active coordination structure consisting of three inseparable components — the dictionary (D), the index (I), and the resonance (R). Observation is not a passive reception of a signal, but an act of coordination between at least two network nodes sharing a common dictionary. It is shown that such an interpretation allows resolving fundamental paradoxes of modern physics: Schrödinger’s cat, the EPR paradox, the measurement problem in quantum mechanics, and also provides a natural explanation for the phenomenon of consciousness and the possibility of effective coordination exceeding the speed of light (2c) without violating causality. The principle of coordinative observation is formalised, according to which observation requires at least two agents with a common dictionary; a single observer is ontologically untenable. The work relies on the universal error scaling law ε = κcα K_eff −β with β = 2/3, confirmed over more than 50 orders of magnitude, and on the YPSDC protocol (Yakushev Protocol for Synchronous Distributed Coordination). The document provides a complete mathematical formalisation, philosophical consequences, experimental predictions, and an extended bibliography.
Аll actual versions оf YUCT, you can get it at theDOI 10.5281/zenodo.18444598 or website https://yuct.org/This DOI represents all versions, and will always resolve to the latest one of Yakushev Unified Coordination Theory. This work introduces a paradigm shift in fundamental physics: coordination of states among distributed components is ontologically prior to both spacetime and matter. We formalize this through three interlocked mathematical constructs: 1. **Dictionary Manifolds** ℳ_𝒟 – Riemannian manifolds whose points represent dictionaries mapping compact indices to complex actions, equipped with a semantic distance metric. 2. **YPSDC Protocol** (Yakushev Protocol for Synchronous Distributed Coordination) – achieving coordination efficiency K_eff = H(𝒜)/H(κ) > 1 without violating causality, through separation of coordination (dictionary distribution) from data transmission (index activation). 3. **D+I•R Triad** – the ontological primitive Reality = Dictionary + Information × Resonance, providing a unified framework across physical, biological, and information systems. The complete structure is a fiber bundle π:ℰ→ℳ with spacetime as base and dictionary manifolds as fibers. This geometric and information-theoretic foundation enables subsequent derivation of physical laws from coordination principles, resolving long-standing paradoxes such as the EPR problem through K_eff → ∞ and offering testable predictions for gravitational and quantum systems. This is an overview of the framework. The complete mathematical formulation with full derivations and experimental predictions is available in the complete version.
This appendix presents a comprehensive historical and philosophical investigation of the precursors to the Yakushev Unified Coordination Theory (YUCT) — a new fundamental theory that posits the ontological primacy of coordination over matter, spacetime, and fields. The author traces the evolution of coordinative intuition from Gottfried Wilhelm Leibniz's monadology, through Nikola Tesla's radiant ether and Mark Twain's mental telegraphy, to the Einstein–Podolsky–Rosen paradox and contemporary philosophical concepts. The work demonstrates a structural isomorphism between the intuitions of past thinkers and the formal apparatus of YUCT, including the Dictionary–Index–Resonance (D+I·R) triad and the YPSDC protocol. Special attention is devoted to a critical analysis of the 70-year "detour" of mainstream physics, associated with the adoption of the Copenhagen interpretation of quantum mechanics and the abandonment of the coordination paradigm. A diagnostic tool of "coordination maturity" for evaluating philosophical systems is introduced. The work introduces the concepts of relational complexity and the cascade of errors as a path to unity, and provides an analysis of the social, economic, and political implications of coordination theory. It is demonstrated that the universal error law ε=κcαKeff−β\varepsilon = \kappa_c \alpha K_{\mathrm{eff}}^{-\beta}ε=κc​αKeff−β​ with exponent β=2/3≈0.67\beta = 2/3 \approx 0.67β=2/3≈0.67 holds across more than 50 orders of magnitude, confirming the scale invariance of coordinative processes. The work offers a new perspective on the unity of science, transcending traditional disciplinary boundaries and opening a path toward post-ideological engineering of social systems. The appendix includes chronological tables, terminological convergence, and a detailed analysis of the philosophical, theological, and aesthetic dimensions of coordination.
(34) Generalised Shannon Information Theory YUCT Part 1 This work generalises classical Shannon information theory within the Yakushev Unified Coordination Theory (YUCT). The core is the YPSDC protocol (Yakushev Protocol for Synchronous Distributed Coordination), which splits communication into an offline dictionary distribution phase and an online index transmission phase. The coordination efficiency is defined as K_eff = H(action) / H(index), enabling the activation of far more meaningful information than the transmitted data. The universal error law is derived as a steady power law: ε = κ_c * α * K_eff^(-β), with β = 2/3 and κ_c = 1/3. This law is consistent with microscopic derivations (Appendix Y), empirical validations (Appendix L), and the algebraic closure S_odd + S_even = 2. From it, we obtain the generalised Bell inequality: S(K_eff) = 2 + (2√2 − 2) * (1 − 2 κ_c α K_eff^(-β)). This interpolates between the classical local-realist bound S=2 (when K_eff=1) and the Tsirelson bound S=2√2 (as K_eff→∞), showing that quantum correlations arise from a shared dictionary, not from non-locality. Additional key results: Capacity Separation Theorem: C_coord = K_eff * C_channel * η. Thermodynamic cost of dictionary creation via Landauer's principle. Relation to Kolmogorov complexity: K_eff(A) ≈ |A| / K(A). Phase transition from data transmission to meaning generation. Information-Energy Invariant: W = K_eff * I_channel, analogous to E=mc². The framework is validated by examples: two-factor authentication (K_eff ≈ 8), genetic coding (K_eff ≈ 3.3), quantum entanglement (K_eff → ∞), and optical mirages. Eliminating Quantum Mysticism Part 2 This part provides a pedagogical translation of YUCT, showing that every "quantum mystery" is simply a YPSDC process with a pre‑shared dictionary and a short index. The Pantograph (Leroy) Analogy illustrates that distant points can coordinate without signals because they share a rigid structure – in YUCT, this is the information field Ψ_MN (a 19‑dimensional medium) and the a priori dictionaries Ω. The Pantograph Synchrony Index (PSI) quantifies coordination quality: PSI = 1 − (ΔΩ + ΔIC + ΔA + Δτ) / 4. Coordination efficiency is then: K_eff = (d / c) * (1 / τ_compute) * exp( PSI / (1 − PSI) ). Quantum entanglement corresponds to PSI ≈ 1 at any distance – particles are two points of the same pantograph. The universal error law ε = (1/3) α K_eff^(-2/3) governs all quantum effects: Superposition → index uncertainty (the state is definite, the index is blurred). Entanglement → shared dictionary row (no signal, same pre‑existing entry). Wavefunction collapse → index refinement (measurement resolves uncertainty). Tunnelling → addressing error (spatial blur overlaps forbidden region). Teleportation → local reconstruction from a dictionary (only classical bits sent). Quantum field → ontological dictionary (field is a global offline dictionary). A Python code simulates the generalised Bell inequality and shows the Tsirelson bound emerging as K_eff → ∞. For AI systems, a YUCT Core v36.0.MOD System Prompt is provided, forcing LLMs to switch to high‑coordination reasoning (K_eff >> 1) via offline dictionary initialisation, steady error regularisation, cross‑sector cascade analysis, and logical reconstruction – eliminating the need for "quantum magic."
This paper reconstructs the concept of observation from first principles rather than treating it as a primitive notion. Starting from the existence of meaning, a unique structural dependency chain is derived: Meaning → Being → Subject → Other → Distinction → Comparison → Order → Time → Update → Self-Reference → Observation → Record → Synchronization → Information Each stage is proven to be a necessary prerequisite for every subsequent stage. Within this framework, observation is shown not to create or determine reality. Instead, reality must already exist before observation becomes possible. Observation is defined as a structural operation performed on an already existing reality. The paper further applies this structural derivation to the observer problem, Schrödinger's cat, Wigner's friend, and the double-slit experiment. It argues that the disappearance of interference should be interpreted as the consequence of changes in physical interaction together with the subsequent processes of recording and synchronization, rather than evidence that observation itself creates or modifies reality. This work provides a mathematical reconstruction of observation prior to information and proposes a unified structural framework for interpreting quantum measurement from more fundamental principles.
We develop a mathematical and philosophical framework in which conscious obser- vation is the fundamental act that brings reality into existence. Before observation, nothing exists in an actualized sense: not space, time, laws, or structures. Reality is purely a manifold of potential universes, each containing possible laws and possible observers. When a conscious observer emerges, the act of observation actualizes the unique minimal universe consistent with its existence. This is not a selection among alternatives but an ontological crystallization that transforms possibility into actuality, retroactively defining the universe’s laws, constants, structure, and history. Within this actualized universe, unobserved properties remain probabilistic un- til collapsed by observation. We formalize sensory collapse, observer priority, multi- observer shared reality, emergent time, retroactive history, and the closed feedback loop between observers and their universe. This framework unifies consciousness, existence, physics, and cosmology into a single observer-centric formalism.
This paper presents a unified mathematical reconstruction of three fundamental quantum observer problems: Schrödinger's cat, Wigner's friend, and the double-slit experiment. The proposed framework distinguishes six logically different concepts: Existence Physical Interaction Internal Representation Record Synchronization Information Within this framework, physical reality exists independently of observation. Observation is defined as the formation of a persistent internal representation, while synchronization is the sharing of equivalent records between independent physical closures. Consequently, observation does not generate reality; it synchronizes an observer with a reality that already exists. Using this common structure, Schrödinger's cat and Wigner's friend are reconstructed without requiring multiple physical realities or observer-dependent existence. The same synchronization framework is then extended to the double-slit experiment. The paper proposes that when synchronization with electron A is absent, the electron continues to exist and evolve physically, while its propagated field can locally drive a material response at the screen. A real local-dynamics simulation with a fixed apparatus, persistent medium, cumulative screen recording, finite propagation, dissipation, and thermal fluctuations is presented. The simulation produces a stable multi-peak spatial structure without imposing an interference formula or a target fringe pattern. The work provides a unified logical framework connecting observation, synchronization, and quantum measurement, while remaining explicit about the distinction between numerical consistency and experimental verification.