Эта статья является препринтом и не была отрецензирована.
О результатах, изложенных в препринтах, не следует сообщать в СМИ как о проверенной информации.
Emergent Dark Sector from Quantum State Structure: A Minimal Testable Framework
We develop a unified and testable framework in which dark energy, dark matter, and black
hole phenomena emerge from the structure of a quantum state. The approach is based on a
minimal set of ingredients: the density operator ρ, its modular generator K = −log ρ, and
the distinction between accessible and hidden degrees of freedom defined by an observable
algebra.
We show that the effective cosmological term arises as a spectral entropy density,
while dark matter corresponds to hidden correlations quantified by mutual information.
A central result of the work is the identification of a universal modular response signal.
This leads to a normalized observable Ξ(λ) = ν(λ) log λ, providing a falsifiable experimental
criterion through the prediction Ξ(λ) → 1.
We further demonstrate that black holes correspond to spectral saturation regimes, characterized by maximal entropy, vanishing modular signal, and effective freezing of modular dynamics. The framework naturally incorporates entropy-driven expansion, correlationinduced clustering, and information-theoretic interpretations of Hawking radiation and the Page curve. Cosmological implications are developed, including perturbations of Λeff , structure formation driven by hidden correlations, and consistency with observational constraints such as Hubble expansion, supernovae data, and gravitational lensing.
The results suggest that the dark sector is not a new physical substance, but an emergent
manifestation of quantum state structure, providing a bridge between quantum information, open quantum systems, and cosmology.
1. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information, Cambridge University Press (2000).
2. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press (2002).
3. S. Amari, Information Geometry, Oxford University Press (2000). 15
4. D. Petz, Quantum Information Theory and Quantum Statistics, Springer (2008).
5. H. Araki, Relative entropy of states of von Neumann algebras, Publ. RIMS Kyoto Univ. (1976).
6. O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Springer (1987).
7. E. H. Lieb, Convex trace functions and the Wigner-Yanase-Dyson conjecture, Adv. Math. (1973).
8. M. B. Ruskai, Inequalities for quantum entropy, J. Math. Phys. (2002).
9. J. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv.
10. Theor. Math. Phys. (1998).
11. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. (1998).
12. M. Van Raamsdonk, Building up spacetime with quantum entanglement, Gen. Relativ. Gravit. (2010).
13. T. Jacobson, Entanglement equilibrium and the Einstein equation, Phys. Rev. Lett. (2016).
14. R. Bousso, The holographic principle, Rev. Mod. Phys. (2002).
15. S. Hawking, Particle creation by black holes, Commun. Math. Phys. (1975).
16. D. N. Page, Information in black hole radiation, Phys. Rev. Lett. (1993).
17. P. Hayden and J. Preskill, Black holes as mirrors, JHEP (2007).
18. Y. Sekino and L. Susskind, Fast scramblers, JHEP (2008).
19. L. Susskind, The black hole war, Little, Brown (2008).
20. S. Weinberg, Cosmology, Oxford University Press (2008).
21. S. Carroll, The cosmological constant, Living Rev. Relativ. (2001).
22. M. Tegmark et al., Cosmological constraints from large-scale structure, Phys. Rev. D (2004).
23. D. Spergel et al., First-year WMAP observations, Astrophys. J. Suppl. (2003).
24. S. Lloyd, The computational universe, Phys. Rev. Lett. (2002).
25. W. H. Zurek, Decoherence and the transition from quantum to classical, Phys. Today
26. (1991).
