Strong Portability of Modular Diagnostics: A Unified Instrument Panel for Open Quantum Systems, Information Geometry, Entanglement Gravity, and Renormalization Group Flow

Oleg Ivanovich Nesen

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Эта статья является препринтом и не была отрецензирована.
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Strong Portability of Modular Diagnostics: A Unified Instrument Panel for Open Quantum Systems, Information Geometry, Entanglement Gravity, and Renormalization Group Flow

O. I. Nesen

2026-03-24

https://doi.org/10.24108/preprints-3114756

We propose a strong notion of portability for a unified “instrument panel” intended to operate across four domains: open quantum systems (OQS), information geometry (IG), entanglement-based emergent geometry/gravity (EG), and renormalization group (RG) flow. The panel is defined solely from a density operator ρ and its modular generator K = −log ρ (and, when needed, a visible reduction ρvis). It combines spectral profile coordinates, observable-facing modular commutator diagnostics, operational locality/criticality markers based on optimal correlation factorization, correlation-graph geometry with stability certification, and optional backreaction links. Strong portability is formulated as a transport contract: the same panel, the same gates, and the same validation protocol are applied across domains with only minimal domain adapters that declare the flow coordinate and the visible subsystem. We provide an explicit portability scorecard, robustness checks, and a strict failure-domain taxonomy to prevent overclaim.

Ссылка для цитирования:

Nesen O. I. 2026. Strong Portability of Modular Diagnostics: A Unified Instrument Panel for Open Quantum Systems, Information Geometry, Entanglement Gravity, and Renormalization Group Flow. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114756

Список литературы

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

2. - E. T. Jaynes, “Information theory and statistical mechanics,” Phys. Rev. 106, 620–630 (1957); 108, 171–190 (1957).

3. - H. Araki, “Relative entropy of states of von Neumann algebras,” Publ. RIMS Kyoto Univ. 11, 809–833 (1976).

4. - M. Takesaki, Theory of Operator Algebras I, Springer (1979).

5. - O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I–II, Springer (2nd ed., 1987–1997).

6. - G. Lindblad, “On the generators of quantum dynamical semigroups,” Commun. Math. Phys. 48, 119–130 (1976).

7. - V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, “Completely positive dynamical semigroups of N-level systems,” J. Math. Phys. 17, 821–825 (1976).

8. - H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press (2002).

9. - Á. Rivas and S. F. Huelga, Open Quantum Systems: An Introduction, Springer (2012).

10. - D. Petz, “Sufficient subalgebras and the relative entropy of states of a von Neumann algebra,” Commun. Math. Phys. 105, 123–131 (1986).

11. - D. Petz, “Monotone metrics on matrix spaces,” Linear Algebra Appl. 244, 81–96 (1996). 14. S.-I. Amari and H. Nagaoka, Methods of Information Geometry, AMS/Oxford University

12. Press (2000).

13. R. Bhatia, Positive Definite Matrices, Princeton University Press (2007).

14. - J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2, 231–252 (1998).

15. - S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy,” Phys. Rev. Lett. 96, 181602 (2006).

16. - M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42, 2323–2329 (2010).

17. - T. Faulkner et al., “Gravitation from entanglement in holographic CFTs,” JHEP 03, 051 (2014).

18. - N. Lashkari et al., “Gravitational dynamics from entanglement thermodynamics,” JHEP 04, 195 (2014).

19. - S. Hollands and R. M. Wald, “Quantum fields in curved spacetime,” Phys. Rept. 574, 1–35 (2015).

20. - K. G. Wilson and J. Kogut, “The renormalization group and the ϵ-expansion,” Phys. Rep. 12, 75–199 (1974).

21. - J. Cardy, Scaling and Renormalization in Statistical Physics, Cambridge University Press (1996).

22. - S. Sachdev, Quantum Phase Transitions, Cambridge University Press (2nd ed., 2011).

23. - J. Polchinski, “Renormalization and effective Lagrangians,” Nucl. Phys. B 231, 269–295 (1984).

24. - M. E. J. Newman, Networks: An Introduction, Oxford University Press (2010).

25. - B. Efron, “Bootstrap methods: Another look at the jackknife,” Ann. Stat. 7, 1–26 (1979).

26. - B. Efron and R. Tibshirani, An Introduction to the Bootstrap, Chapman & Hall/CRC (1993).

27. - T. Hastie, R. Tibshirani, and J. Friedman, The Elements of Statistical Learning, Springer (2nd ed., 2009).

28. - C. M. Bishop, Pattern Recognition and Machine Learning, Springer (2006).

29. - S. Arlot and A. Celisse, “A survey of cross-validation procedures for model selection,” Statistical Surveys 4, 40–79 (2010).

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