Nonlocality and nonseparability of quantum and relativistic systems

The concept of nonlocality and its role in the violation of Bell's inequalities are discussed. A weaker nonlocality is revealed in comparison with Albert Einstein's "Spooky Action at a Distance" and at the same time does not contradict the principles of the special theory of relativity (STR). A correlation statistical experiment with the violation of the Clauser—Horne—Shimony—Holt inequality in STR is described, in which weak nonlocality is manifested. The correlation in such an experiment propagates with infinite speed in the proper frame of reference of the measuring device.

Typically, an English full text is available in about 1 month from the date of publication of the original article.

Keywords: Bell's inequalities, nonlocality, special relativity, Spooky Action at a Distance, entangled states
PACS: 03.37.+p, 03.65.Ud, 03.67.Bg (all)
DOI: 10.3367/UFNe.2025.08.040002
URL: https://ufn.ru/en/articles/2026/2/f/
Citation: Belinsky A V, Dzhadan I I "Nonlocality and nonseparability of quantum and relativistic systems" Phys. Usp. 69 (2) (2026)

Received: 16th, June 2025, revised: 4th, August 2025, accepted: 7th, August 2025

Оригинал: Белинский А В, Джадан И И «Нелокальность и несепарабельность квантовых и релятивистских систем» УФН 196 205–211 (2026); DOI: 10.3367/UFNr.2025.08.040002

References (27) Similar articles (20) ↓

A.V. Belinsky “Wigner's friend paradox: does objective reality not exist?” Phys. Usp. 63 1256–1263 (2020)
A.V. Belinsky, A.A. Klevtsov “Nonlocal classical "realism" and quantum superposition as the nonexistence of definite pre-measurement values of physical quantities” Phys. Usp. 61 313–319 (2018)
A.V. Belinskii, A.S. Chirkin “Bernstein’s paradox of entangled quantum states” Phys. Usp. 56 1126–1131 (2013)
A.V. Belinsky “On David Bohm's 'pilot-wave' concept” Phys. Usp. 62 1268–1278 (2019)
V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” Sov. Phys. Usp. 35 (10) 857–896 (1992)
A.V. Belinsky, M.Kh. Shulman “Quantum nature of a nonlinear beam splitter” Phys. Usp. 57 1022–1034 (2014)
D.N. Klyshko “A simple method of preparing pure states of an optical field, of implementing the Einstein-Podolsky-Rosen experiment, and of demonstrating the complementarity principle” Sov. Phys. Usp. 31 74–85 (1988)
V.V. Mityugov “The tree of paradox” Phys. Usp. 36 (8) 744–753 (1993)
V.L. Gorshenin, B.N. Nougmanov, F.Ya. Khalili “On 'Schrödinger's cat' fringes” Phys. Usp. 67 938–942 (2024)
B.B. Kadomtsev “Irreversibility in quantum mechanics” Phys. Usp. 46 1183–1201 (2003)
D.N. Klyshko “The Einstein-Podolsky-Rosen paradox for energy-time variables” Sov. Phys. Usp. 32 555–563 (1989)
A.V. Belinskii “Bell’s theorem for trichotomic observables” Phys. Usp. 40 305–316 (1997)
A.V. Belinskii “Regular and quasiregular spectra of disordered layer structures” Phys. Usp. 38 653–664 (1995)
A.V. Belinskii “Bell’s theorem without the hypothesis of locality” Phys. Usp. 37 219–222 (1994)
A.M. Zheltikov “The critique of quantum mind: measurement, consciousness, delayed choice, and lost coherence” Phys. Usp. 61 1016–1025 (2018)
I.A. Sadovskyy “Reduction of the scattering matrix array” Phys. Usp. 58 872–876 (2015)
A.A. Grib “On the problem of the interpretation of quantum physics” Phys. Usp. 56 1230–1244 (2013)
A.V. Belinskii “Bell’s paradoxes without the introduction of hidden variables” Phys. Usp. 37 413–419 (1994)
V.P. Bykov “Basic properties of squeezed light” Sov. Phys. Usp. 34 (10) 910–924 (1991)
N.V. Evdokimov, D.N. Klyshko et al “Bell’s inequalities and EPR-Bohm correlations: working classical radiofrequency model” Phys. Usp. 39 83–98 (1996)

The list is formed automatically.