YAKUSHEV UNIFIED COORDINATION THEORY (YUCT)
Abstract
This document presents the complete mathematical formulation of the Yakushev Unified Coordination Theory (YUCT) as applied to reality. All equations, tables, and computational methods are provided for immediate implementation and experimental verification. Keff > 1: A Framework for Super-Efficient Coordination and the Emergent Geometry of Spacetime This work presents a groundbreaking formulation of the Yakushev Framework, a coordination-first approach to fundamental physics where spacetime, fields, and physical laws emerge from synchronous coordination acts. The framework is built on three pillars: (1) the YPSDC principle (Yakushev Protocol for Synchronous Distributed Coordination) separating coordination from data transfer; (2) the D+I•R triad (Dictionary plus Information times Resonance) as the fundamental ontology; and (3) the dictionary manifold geometry providing the mathematical foundation. YUCT theory with its mathematical formulation through Coordination Tensor Dynamics (CTD).We develop: • CTD formalism: Tensor equations describing coordination as fundamental process • Keff scaling: Coordination efficiency as universal scaling parameter • Emergence theorems: Derivation of QM and GR from coordination dynamics • Dark components solution: Dark matter/energy as coordination topology effects • 15+ testable predictions: Quantitative formulas for experimental verification • A complete geometric decomposition of the total Lagrangian into carrier, dictionaryspace, coordination, and causal-cone sectors • Derivation of Einstein field equations with coordination corrections from variational principles on dictionary bundles • Modified equations of motion leading to additional perihelion precession and gravitational redshift effects • Quantum mechanics from D+I•R variational principles with testable deviations • Explicit experimental predictions across 15 different measurement types with numerical estimates • Detailed comparison with 8 alternative approaches to emergent spacetime • Complete mathematical proofs of microcausality, energy-momentum conservation, and recovery limits This work reveals that coordination efficiency scales linearly with system size, Keff ∝ D, providing a unified explanation for phenomena ranging from quantum entanglement (Keff → ∞) to the cosmological constant (Λ ∼ 1/L20). The framework is microcausal (v ≤ c always), reproduces General Relativity and Quantum Mechanics in validated limits when coordination efficiency Keff → 1, and provides testable predictions for precision measurements in astrophysics, particle physics, and quantum information. Core Discovery: We identify the axiomatic backbone of the theory as a closed Algebraic Loop of fundamental constants (Sodd = 6/5, Seven = 4/5), which strictly determines the universal scaling exponent β = 2/3. We demonstrate that this loop forms a self-consistent, parameter-free logical system. The internal consistency of this structure is powerfully validated by an emergent high-precision geometric coincidence: Soddφ 2 ≈ π (error 10−5), linking 1 the discrete mass spectrum of fermions directly to the continuous geometry of spacetime. This establishes YUCT not as a phenomenological fit, but as a unified, falsifiable axiomatic framework for the coordination dynamics of reality.
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BibTeX
@misc{yakushev2026yakushev,
title = {{YAKUSHEV UNIFIED COORDINATION THEORY (YUCT)}},
author = {Alexey V. Yakushev},
year = {2026},
month = may,
doi = {10.24108/preprints-3115333},
url = {https://doi.org/10.24108/preprints-3115333},
note = {CC BY},
}
RIS
TY - UNPB
TI - YAKUSHEV UNIFIED COORDINATION THEORY (YUCT)
AU - Alexey V. Yakushev
PY - 2026
DA - 2026/05/24
DO - 10.24108/preprints-3115333
UR - https://doi.org/10.24108/preprints-3115333
AB - This document presents the complete mathematical formulation of the Yakushev Unified Coordination Theory (YUCT) as applied to reality. All equations, tables, and computational methods are provided for immediate implementation and experimental verification. Keff > 1: A Framework for Super-Efficient Coordination and the Emergent Geometry of Spacetime This work presents a groundbreaking formulation of the Yakushev Framework, a coordination-first approach to fundamental physics where spacetime, fields, and physical laws emerge from synchronous coordination acts. The framework is built on three pillars: (1) the YPSDC principle (Yakushev Protocol for Synchronous Distributed Coordination) separating coordination from data transfer; (2) the D+I•R triad (Dictionary plus Information times Resonance) as the fundamental ontology; and (3) the dictionary manifold geometry providing the mathematical foundation. YUCT theory with its mathematical formulation through Coordination Tensor Dynamics (CTD).We develop: • CTD formalism: Tensor equations describing coordination as fundamental process • Keff scaling: Coordination efficiency as universal scaling parameter • Emergence theorems: Derivation of QM and GR from coordination dynamics • Dark components solution: Dark matter/energy as coordination topology effects • 15+ testable predictions: Quantitative formulas for experimental verification • A complete geometric decomposition of the total Lagrangian into carrier, dictionaryspace, coordination, and causal-cone sectors • Derivation of Einstein field equations with coordination corrections from variational principles on dictionary bundles • Modified equations of motion leading to additional perihelion precession and gravitational redshift effects • Quantum mechanics from D+I•R variational principles with testable deviations • Explicit experimental predictions across 15 different measurement types with numerical estimates • Detailed comparison with 8 alternative approaches to emergent spacetime • Complete mathematical proofs of microcausality, energy-momentum conservation, and recovery limits This work reveals that coordination efficiency scales linearly with system size, Keff ∝ D, providing a unified explanation for phenomena ranging from quantum entanglement (Keff → ∞) to the cosmological constant (Λ ∼ 1/L20). The framework is microcausal (v ≤ c always), reproduces General Relativity and Quantum Mechanics in validated limits when coordination efficiency Keff → 1, and provides testable predictions for precision measurements in astrophysics, particle physics, and quantum information. Core Discovery: We identify the axiomatic backbone of the theory as a closed Algebraic Loop of fundamental constants (Sodd = 6/5, Seven = 4/5), which strictly determines the universal scaling exponent β = 2/3. We demonstrate that this loop forms a self-consistent, parameter-free logical system. The internal consistency of this structure is powerfully validated by an emergent high-precision geometric coincidence: Soddφ 2 ≈ π (error 10−5), linking 1 the discrete mass spectrum of fermions directly to the continuous geometry of spacetime. This establishes YUCT not as a phenomenological fit, but as a unified, falsifiable axiomatic framework for the coordination dynamics of reality.
ER -