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Wave-function collapse in string theory

Nissan Itzhaki

Phys. Rev. D 114, 046013 – Published 17 August, 2026

DOI: https://doi.org/10.1103/lyyp-3svl

Abstract

One of the most intriguing proposals for wave-function collapse is the Diósi-Penrose model, in which collapse is driven by stochastic fluctuations of the Newtonian potential. We argue that a closely related effective structure can emerge in string theory if, as recently suggested, the present cosmic acceleration is sourced by instant folded strings and their decay products. A key difference, however, is that in this stringy setting the noise is naturally colored in time rather than white. As a result, the scenario is significantly less constrained by existing experiments than the standard Diósi-Penrose model.

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References (55)

  1. H. D. Zeh, On the interpretation of measurement in quantum theory, Found. Phys. 1, 69 (1970).
  2. N. F. Mott, The wave mechanics of α-ray tracks, Proc. R. Soc. A 126, 79 (1929).
  3. W. H. Zurek, Decoherence, einselection, and the quantum origins of the classical, Rev. Mod. Phys. 75, 715 (2003).
  4. M. Schlosshauer, Decoherence, the measurement problem, and interpretations of quantum mechanics, Rev. Mod. Phys. 76, 1267 (2005).
  5. H. Everett, III, Relative state formulation of quantum mechanics, Rev. Mod. Phys. 29, 454 (1957).
  6. G. C. Ghirardi, A. Rimini, and T. Weber, Unified dynamics for microscopic and macroscopic systems, Phys. Rev. D 34, 470 (1986).
  7. P. Pearle, Combining stochastic dynamical state-vector reduction with spontaneous localization, Phys. Rev. A 39, 2277 (1989).
  8. G. C. Ghirardi, P. Pearle, and A. Rimini, Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles, Phys. Rev. A 42, 78 (1990).
  9. L. Diósi, Models for universal reduction of macroscopic quantum fluctuations, Phys. Rev. A 40, 1165 (1989).
  10. R. Penrose, On gravity’s role in quantum state reduction, Gen. Relativ. Gravit. 28, 581 (1996).
  11. A. Bassi and G. C. Ghirardi, Dynamical reduction models, Phys. Rep. 379, 257 (2003).
  12. A. Bassi, K. Lochan, S. Satin, T. P. Singh, and H. Ulbricht, Models of wave-function collapse, underlying theories, and experimental tests, Rev. Mod. Phys. 85, 471 (2013).
  13. A. Bassi, M. Dorato, and H. Ulbricht, Collapse models: A theoretical experimental and philosophical review, Entropy 25, 645 (2023).
  14. Y. Y. Fein, P. Geyer, P. Zwick, F. Kiałka, S. Pedalino, M. Mayor, S. Gerlich, and M. Arndt, Quantum superposition of molecules beyond 25 kDa, Nat. Phys. 15, 1242 (2019).
  15. M. Carlesso and M. Paternostro, Opto-mechanical tests of collapse models, Fundam. Theor. Phys. 198, 205 (2020).
  16. A. Vinante, M. Bahrami, A. Bassi, O. Usenko, G. Wijts, and T. H. Oosterkamp, Upper bounds on spontaneous wave-function collapse models using millikelvin-cooled nanocantilevers, Phys. Rev. Lett. 116, 090402 (2016).
  17. M. Carlesso, S. Donadi, L. Ferialdi, M. Paternostro, H. Ulbricht, and A. Bassi, Present status and future challenges of noninterferometric tests of collapse models, Nat. Phys. 18, 243 (2022).
  18. Q. Fu, Spontaneous radiation of free electrons in a nonrelativistic collapse model, Phys. Rev. A 56, 1806 (1997).
  19. I. J. Arnquist et al. (Majorana Collaboration), Search for spontaneous radiation from wave-function collapse in the Majorana demonstrator, Phys. Rev. Lett. 129, 080401 (2022); 130, 239902(E) (2023).
  20. E. Aprile et al. (XENON Collaboration), Challenging spontaneous quantum collapse with the XENONnT dark matter detector, Phys. Rev. Lett. 136, 120201 (2026).
  21. J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2, 231 (1998); Int. J. Theor. Phys.38, 1113 (1999).
  22. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428, 105 (1998).
  23. E. Witten, Anti de Sitter space and holography, Adv. Theor. Math. Phys. 2, 253 (1998).
  24. E. Witten, Quantum gravity in de Sitter space, arXiv:hep-th/0106109.
  25. U. H. Danielsson and T. Van Riet, What if string theory has no de Sitter vacua?, Int. J. Mod. Phys. D 27, 1830007 (2018).
  26. M. Dine, J. A. P. Law-Smith, S. Sun, D. Wood, and Y. Yu, Obstacles to constructing de Sitter space in string theory, J. High Energy Phys. 02 (2021) 050.
  27. M. Cicoli, J. P. Conlon, A. Maharana, S. Parameswaran, F. Quevedo, and I. Zavala, String cosmology: From the early universe to today, Phys. Rep. 1059, 1 (2024).
  28. N. Itzhaki and U. Peleg, Instant cosmology, J. High Energy Phys. 05 (2025) 026.
  29. N. Itzhaki, Stringy instability inside the black hole, J. High Energy Phys. 10 (2018) 145.
  30. R. Penrose, Quantum computation, entanglement and state reduction, Phil. Trans. R. Soc. A 356, 1927 (1998).
  31. L. Diósi, A universal master equation for the gravitational violation of quantum mechanics, Phys. Lett. A 120, 377 (1987).
  32. S. Donadi, K. Piscicchia, C. Curceanu, L. Diósi, M. Laubenstein, and A. Bassi, Underground test of gravity-related wave function collapse, Nat. Phys. 17, 74 (2021).
  33. L. Diósi, Gravity-related spontaneous collapse in bulk matter, New J. Phys. 16, 105006 (2014).
  34. L. Figurato, M. Dirindin, J. L. Gaona-Reyes, M. Carlesso, A. Bassi, and S. Donadi, On the effectiveness of the collapse in the Diósi-Penrose model, New J. Phys. 26, 113004 (2024).
  35. S. L. Adler and A. Bassi, Collapse models with nonwhite noises, J. Phys. A 40, 15083 (2007).
  36. M. Carlesso, L. Ferialdi, and A. Bassi, Colored collapse models from the noninterferometric perspective, Eur. Phys. J. D 72, 159 (2018).
  37. B. Helou, B. Slagmolen, D. E. McClelland, and Y. Chen, LISA Pathfinder appreciably constrains collapse models, Phys. Rev. D 95, 084054 (2017).
  38. A. G. Riess et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116, 1009 (1998).
  39. S. Perlmutter et al., Measurements of omega and lambda from 42 high-redshift supernovae, Astrophys. J. 517, 565 (1999).
  40. K. Attali and N. Itzhaki, The averaged null energy condition and the black hole interior in string theory, Nucl. Phys. B943, 114631 (2019).
  41. N. Itzhaki and U. Peleg, When strings surprise, J. High Energy Phys. 08 (2024) 172.
  42. A. Hashimoto, N. Itzhaki, and U. Peleg, A worldsheet description of instant folded strings, J. High Energy Phys. 02 (2023) 088.
  43. N. Itzhaki, Is the horizon of an eternal black hole really smooth?, J. High Energy Phys. 05 (2023) 157.
  44. A. Strominger, Heterotic solitons, Nucl. Phys. B343, 167 (1990); B353, 565(E) (1991).
  45. N. Itzhaki, U. Peleg, and P. J. Steinhardt, Instant folded strings, dark energy and a cyclic bouncing universe, J. Cosmol. Astropart. Phys. 05 (2026) 084.
  46. P. J. Steinhardt and N. Turok, Cosmic evolution in a cyclic universe, Phys. Rev. D 65, 126003 (2002).
  47. A. Ijjas and P. J. Steinhardt, A new kind of cyclic universe, Phys. Lett. B 795, 666 (2019).
  48. A. Ijjas and P. J. Steinhardt, Entropy, black holes, and the new cyclic universe, Phys. Lett. B 824, 136823 (2022).
  49. J. M. Maldacena, Wilson loops in large N field theories, Phys. Rev. Lett. 80, 4859 (1998).
  50. S. J. Rey and J. T. Yee, Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity, Eur. Phys. J. C 22, 379 (2001).
  51. G. ’t Hooft, Dimensional reduction in quantum gravity, Conf. Proc. C 930308, 284 (1993).
  52. L. Susskind, The world as a hologram, J. Math. Phys. (N.Y.) 36, 6377 (1995).
  53. S. Pasterski, S.-H. Shao, and A. Strominger, Flat space amplitudes and conformal symmetry of the celestial sphere, Phys. Rev. D 96, 065026 (2017).
  54. W. Melton, A. Sharma, A. Strominger, and T. Wang, Celestial dual for maximal helicity violating amplitudes, Phys. Rev. Lett. 133, 091603 (2024).
  55. P. J. E. Peebles, The Large-Scale Structure of the Universe (Princeton University Press, Princeton, NJ, 1980).

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