YAKUSHEV UNIFIED COORDINATION THEORY (YUCT)

Universal‑Science Edition Keff > 1: A Framework for Super-Efficient Coordination and the Emergent Geometry of Spacetime The Complete Yakushev Formulation with D+I•R Triad, Dictionary Manifolds, and Experimental Predictions. This work proposes a fundamental ontological shift where coordination replaces spacetime and matter as primitive constructs. This work introduces the Yakushev Unified Coordination Theory (YUCT) — a transformative framework that unifies fundamental physics and cross‑disciplinary modeling across all sciences. YUCT posits that physical reality — including spacetime, fields, and laws — emerges from synchronous coordination acts governed by the Yakushev Protocol for Synchronous Distributed Coordination (YPSDC). Core Pillars of the Framework YPSDC Principle: Separates offline distribution of structured priors (dictionaries, protocols, constraint sets) from online activation via short indices. Ensures microcausality (v≤c) by transmitting only indices physically. D+I·R Triad (Dictionary + Information × Resonance): The foundational ontology unifying symbolic, informational, and dynamical aspects of reality. Dictionary Manifold Geometry: The mathematical substrate encoding coordination dynamics as a differentiable structure. Theoretical Achievements (Across Disciplines) Coordination Tensor Dynamics (CTD): A tensor formalism treating coordination as the primordial process from which physics emerges. Emergence Theorems: Derivation of quantum mechanics (QM) and general relativity (GR) as limiting cases of coordination dynamics. Unified Explanation of “Dark” Phenomena: Dark matter and dark energy interpreted as topological effects of coordination networks. Modified Equations of Motion: Predict observable deviations (e.g., extra perihelion precession, gravitational redshift). Full Lagrangian Decomposition: Segregates contributions from carrier, dictionary‑space, coordination, and causal‑cone sectors. Proven Conservation & Causality: Energy‑momentum conservation and microcausality rigorously upheld. Practical Implementation (YUCT) 120‑Sector Modular Architecture: A scalable system with a dense intersector network of 7 140 coupling coefficients {κsr} (0≤s<r≤119). Coordination Efficiency Metric (Keff): Quantifies the ratio of baseline (naïve) coordination cost to the achieved cost under dictionary‑index activation: Keff∝D. Cascade Prediction Engine: Leverages the κ‑network to propagate sectoral perturbations and forecast secondary effects. System‑Level Verification: Evaluates predictive skill on complex, multi‑domain events rather than isolated link testing. Validation, Falsifiability, and Metrics False Dictionary Formalism: Assigns a falsity score L(D)∈[0,1] with discrete grades (FD‑I to FD‑OK) and auditable diagnostic vectors. 25+ Testable Predictions: Quantitative formulas spanning astrophysics, particle physics, quantum information, climate, and demographic modeling. Experimental Progress Metrics: Time‑to‑correction, retraction rate, replication success — enabling evidence‑based assessment of research quality. A/B Experimental Design: Compares research programs with and without early false‑dictionary screening to measure impacts on throughput and reproducibility. Scalability and Limiting Behaviors Recovery of Established Theories: Reproduces GR and QM when Keff→1. Extreme Regimes Explained: Quantum entanglement (Keff→∞) and the cosmological constant (Λ∼1/L202) emerge naturally. Linear Scaling Law: Coordination efficiency scales linearly with system size, enabling tractable modeling from quantum to cosmic scales. Impact Across Sciences YUCT provides: A unified theoretical language for physics, climate science, demography, and complex systems. A computable interface where domain experts populate sector slots with validated models. A prediction and calibration pipeline leveraging historical data, expert elicitation, and machine learning. A rigorous falsifiability framework to distinguish productive theories from pseudoscience. This framework bridges fundamental theory and applied modeling, offering both a new paradigm for understanding reality and a practical tool for cross‑domain prediction, verification, and scientific progress.