YAKUSHEV UNIFIED COORDINATION THEORY (YUCT)

Alexey V Yakushev

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YAKUSHEV UNIFIED COORDINATION THEORY (YUCT)

A. V. Yakushev

2026-05-24

https://doi.org/10.24108/preprints-3115333

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.

Ссылка для цитирования:

Yakushev A. V. 2026. YAKUSHEV UNIFIED COORDINATION THEORY (YUCT). PREPRINTS.RU. https://doi.org/10.24108/preprints-3115333

Список литературы

1. T. Jacobson, “Thermodynamics of spacetime: The Einstein equation of state,” Phys. Rev. Lett. 75, 1260–1263 (1995).

2. E. Verlinde, “On the Origin of Gravity and the Laws of Newton,” JHEP 2011(4), 29 (2011).

3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press (2000).

4. S. Weinberg, The Quantum Theory of Fields, Cambridge University Press (1995).

5. R. M. Wald, General Relativity, University of Chicago Press (1984).

6. C. Will, “The Confrontation between General Relativity and Experiment,” Living Rev. Rel. 17, 4 (2014).

7. C. Misner, K. Thorne, and J. Wheeler, Gravitation, Freeman (1973).

8. G. Tononi, “Consciousness as integrated information: a provisional manifesto,” Biol. Bull. 215, 216–242 (2008).

9. S. Lloyd, “Ultimate physical limits to computation,” Nature 406, 1047–1054 (2000).

10. D. Deutsch, “Constructor theory,” Synthese 190, 4331–4359 (2013).

11. A.-L. Barabási, Network Science, Cambridge University Press (2016).

12. R. Pound and G. Rebka, “Apparent weight of photons,” Phys. Rev. Lett. 4, 337–341 (1960).

13. I. Shapiro, “Fourth test of general relativity,” Phys. Rev. Lett. 13, 789–791 (1964).

14. C. Everitt et al., “Gravity Probe B: Final results of a space experiment to test general relativity,” Phys. Rev. Lett. 106, 221101 (2011).

15. Planck Collaboration, “Planck 2018 results. VI. Cosmological parameters,” Astron. Astrophys. 641, A6 (2020).

16. A. V. Yakushev, “The Yakushev Principle (YPSDC): Synchronous Distributed Coordination,” Yakushev Research Technical Report (2025).

17. J. Baez and M. Stay, “Physics, topology, logic and computation: A Rosetta Stone,” in New Structures for Physics, Springer (2010).

18. J. Preskill, “Quantum computing and the entanglement frontier,” arXiv:1203.5813 (2012).

19. L. Susskind, “Computational complexity and black hole horizons,” Fortsch. Phys. 64, 24–43 (2014).

20. W. Zurek, “Decoherence, einselection, and the quantum origins of the classical,” Rev. Mod. Phys. 75, 715–775 (2003).

21. A. Einstein, B. Podolsky, N. Rosen, “Can quantum-mechanical description of physical reality be considered complete?” Phys. Rev. 47, 777-780 (1935).

22. J. S. Bell, “On the Einstein Podolsky Rosen paradox,” Physics Physique Fizika 1, 195-200 (1964).

23. A. Aspect, P. Grangier, G. Roger, “Experimental realization of Einstein-Podolsky-RosenBohm gedankenexperiment: A new violation of Bell’s inequalities,” Phys. Rev. Lett. 49, 91-94 (1982).

24. A. V. Yakushev, Yakushev Unified Coordination Theory (YUCT), Zenodo, DOI:10.5281/zenodo.18444599 (2026).

25. A. V. Yakushev, “Appendix AF: The Algebraic Framework of Reality in YUCT,” in YUCT, Zenodo (2026).

26. A. V. Yakushev, “Appendix L: Fractal Coordination Error Scaling – A Universal Law from DNA to Cosmology,” in YUCT, Zenodo (2026).

27. A. V. Yakushev, “Appendix Ferra1.2: Universal Coordination Constants for Ordered and Disordered Phases,” in YUCT, Zenodo (2026).

28. A. V. Yakushev, “Appendix Ehrenfest: Coordination Interpretation of the Rotating Disk Paradox and the Emergence of Non‑Euclidean Geometry,” in YUCT, Zenodo (2026).

29. M. J. Feigenbaum, “Quantitative universality for a class of nonlinear transformations,” J. Stat. Phys. 19, 25–52 (1978).

30. A. M. Selvam, “Universal characteristics of fractal fluctuations in prime number distribution,” arXiv preprint physics/0008010 (2000).

31. I. Prigogine and G. Nicolis, Self-Organization in Nonequilibrium Systems. Wiley (1977).

32. I. Prigogine and I. Stengers, Order out of Chaos. Bantam (1984).

33. Lord Rayleigh, “On convection currents in a horizontal layer of fluid,” Philosophical Magazine, 32, 529–546 (1916).

34. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability. Oxford (1961).

35. A. V. Yakushev, “Appendix Ω: The Global Rotation of the Universe and Its New Minimum

36. Age from the Dipole Turning Radius,” in YUCT, Zenodo (2026).

37. A. V. Yakushev, “Appendix M: YUCT Cosmology — Inflation as a Coordination Phase Transition,” in YUCT, Zenodo (2026)

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