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.
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 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.
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 with exponent β=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."
We introduce Interference-First Reality (IFR), a theoretical framework in which physical objectivity is not assumed as a primitive property of the world, but is derived as a stable multi-observer limit of an underlying interference structure. The fundamental object of the theory is a pre-spatiotemporal interference state Ψ defined on an abstract configuration space X, together with a family of operational observer maps projecting Ψ into observer-accessible representation spaces. Agreement between observers is quantified by an information-geometric redundant dispersion functional. Within IFR, objective structures are defined as stable Fréchet-type centers of observer projections, and physical configurations are selected by a variational principle involving interference dynamics, informational curvature, and redundant multi-observer contraction. The parameter λ is not identified with physical time. Instead, temporal order is defined as the ordered succession of stable minima of redundant dispersion, while effective spacetime geometry arises when the underlying information geometry admits a low-dimensional metric representation. The framework derives objectivity, time, space, and gravitation from a single variational structure. Contents of this deposit. Alongside the complete-formulation preprint, the archive contains the consolidated information-geometry module ifr_core, implementing Jensen–Shannon divergence and distance, geometric and arithmetic barycenters, and the redundant-dispersion functional, together with its verification routines, the full set of analysis scripts, and self-configuring ready-to-run launcher packages for Windows, macOS, and a flat code archive. The ifr_core module is byte-identical across all packages and hash-verified, and reproduces all reported JSD/KL values with a maximum numerical discrepancy below 1e-13. The packages are strictly code-only. Data directories contain only .gitkeep or README.md placeholders, and the public re-downloadable datasets used in the analyses, including Planck, GWOSC, JWST/JADES, and PhysioNet, are intentionally excluded from the deposit. Citation. The Concept DOI 10.5281/zenodo.20528552 is the stable DOI to be used for citation and resolves to the most recent version. Each deposit mints a version DOI for archival versioning only; version DOIs should not be used in manuscripts. Peer-reviewed publication. This document is the complete and unified formulation of the IFR framework, subdivided into six parts for peer-reviewed publication in the Journal of Applied Mathematics and Physics (JAMP). The empirical validation referenced here has been published in Bianchi (2025), JAMP 13, 4355–4378, and Bianchi (2026), JAMP 14, 1627–1674. Part I of the series has been published as Bianchi, M. (2026) Interference-First Reality Theory: Foundations and Objectivity, JAMP 14(7), 2735–2772, DOI 10.4236/jamp.2026.147137. Part II is under peer review; Parts III–VI are in preparation for sequential submission.
This work presents an extended, mathematically complete formulation of the Information Geometry Unification Principle (IGUP), a foundational framework in which quantum mechanics, statistical thermodynamics, general relativity, and spacetime geometry emerge from a single information-theoretic ontology. We begin with rigorous axioms defining information as the primary physical substance, then systematically construct the Bures–Fisher–Rao metric on the manifold of quantum density matrices. We derive the universal information action functional and perform full variational derivations to obtain the unified field equations. We show explicitly how standard physical theories including the Schrödinger equation, Heisenberg picture, Liouville mechanics, classical thermodynamics, and Einstein field equations are recovered in appropriate limiting regimes. We further derive geometric expressions for entanglement, entropy, temperature, energy, and force. The theory resolves longstanding conceptual tensions between unitary quantum evolution and gravitational irreversibility, provides a natural resolution to the black hole information paradox, and yields eight concrete, experimentally testable predictions. This extended version includes full tensor calculus, covariant derivatives, curvature expansions, and limit theorems, amounting to a self-contained theory of everything based on Geometry=Information.
We present the complete mathematical foundations of New Subquantum Informational Mechanics (NMSI), demonstrating that fundamental physical concepts—mass, energy, gravitational force, spacetime geometry—are not ontological primitives but emergent properties of a deeper informational substrate. Through rigorous construction of the π-indexed Riemann Oscillatory Network (RON) and axiomatic derivation of informational dynamics, we establish that information, not energy, constitutes the fundamental substrate of physical reality. The framework derives the emergence of fundamental constants (ħ, c, G) from RON spectral structure, establishes precise connections to Riemann zeta function zeros ζ(1/2 + itn), and predicts the existence of architectural thresholds at L* ≈ 24 significant digits. NMSI resolves long-standing conceptual paradoxes of modern physics—wave-particle duality, wavefunction collapse, spacetime nature—by reducing them to elementary informational phenomena formulated in rigorous operator-theoretic language. The mathematical framework includes complete proofs for: 1) necessity of informational substrate (no-go theorem for matter-first ontologies), 2) uniqueness of 3 + 1 dimensional spacetime (stability analysis), 3) derivation of Einstein field equations from informational action principle (all steps explicit), 4) emergence of Standard Model gauge structure SU(3) × SU(2) × U(1), and 5) generation mass hierarchy from RON spectral properties. A critical component is the Mathematical Trap construction (Part E)—seven theorems establishing a Point of No Return beyond which NMSI predictions become inevitable, explaining the framework’s multiple discrete falsifiable predictions. Ten falsifiable experimental predictions are presented with explicit timelines (2025-2035), instrumentation requirements, and statistical significance thresholds: hydrogen 1S-2S spectroscopy shifts (Δν = 2.8 ± 1.2 Hz), atomic interferometry phase measurements (δφ ≈ 10−8 rad), cosmological distance-redshift deviations (δ(z) = −0.15z2 for z > 3), stellar mass upper bounds (mstar M☉), CMB phase correlations ( C l phase ~ 10−6 for l H0: 67 vs 73 km/s/Mpc), JWST observations of massive high-redshift galaxies (z > 10), and reinterprets dark matter and dark energy as informational phenomena rather than exotic particle species. All results maintain consistency with established physics (quantum mechanics, general relativity, Standard Model) while predicting novel effects at precision frontiers and extreme scales.