Recognition: no theorem link
The extended Wigner's friend, many- and single-worlds and reasoning from observation
Pith reviewed 2026-05-12 01:28 UTC · model grok-4.3
The pith
Extended Wigner's friend scenarios rule out subjective collapse interpretations of quantum theory.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
One may infer from the extended Wigner's friend thought-experiment and similar ones that any interpretation of quantum theory involving subjective collapse fails. This does not distinguish single-world from many-world interpretations. Reasoning from observations must take into account the possible quantum-erasure of those observations if it is to be valid reasoning, and a single-world interpretation is valid if certain kinds of outcome are not quantum-erased in the future.
What carries the argument
Consistency conditions on reports from chained observer measurements, combined with the possibility that those reports undergo quantum erasure.
If this is right
- Interpretations that invoke subjective collapse are inconsistent with the scenario.
- Many-world interpretations remain viable after the argument.
- Single-world interpretations remain viable when certain outcome classes are exempt from future erasure.
- Reasoning that draws conclusions from quantum observations must incorporate the chance that those observations are erased later.
Where Pith is reading between the lines
- Information about past measurements plays a decisive role in whether future consistency checks can be satisfied.
- If erasure proves unavoidable in realistic chains of observers, standard rules for drawing inferences from data would need adjustment in quantum settings.
- Models that relax the isolated-system assumption during measurement could be compared directly against the consistency requirements used here.
Load-bearing premise
The approximation of treating the overall system as isolated remains valid when measurement-like processes occur.
What would settle it
A calculation or controlled setup in which observer reports remain consistent under subjective collapse while respecting the isolated-system condition would falsify the inference that such interpretations fail.
read the original abstract
The concept of an isolated system, and Frauchiger and Renner's extended `Wigner's friend' scenario are discussed. It is argued that: (i) it is questionable whether the approximation of the isolated system is valid when measurement-like processes are involved; (ii) one may infer, from Frauchiger and Renner's thought-experiment, and similar thought-experiments, that any interpretation of quantum theory involving *subjective collapse* fails; (iii) this does not distinguish single-world from many-world (relative-state) interpretations of quantum theory; (iv) reasoning from observations has to take into account the possible quantum-erasure of those observations if it is to be valid reasoning; (v) a single-world interpretation is valid if certain kinds of outcome are not quantum-erased in the future.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper discusses the isolated-system approximation in the extended Wigner's friend scenario of Frauchiger and Renner. It argues that (i) this approximation is questionable for measurement-like processes; (ii) the Frauchiger-Renner and similar thought experiments imply that any interpretation involving subjective collapse fails; (iii) this does not distinguish single-world from many-world (relative-state) interpretations; (iv) valid reasoning from observations must account for possible quantum erasure; and (v) single-world interpretations remain viable provided certain outcomes are not quantum-erased in the future.
Significance. If the arguments hold, the paper would usefully separate the implications of extended Wigner's friend scenarios for subjective-collapse interpretations from the single-world versus many-worlds debate, while underscoring the necessity of considering quantum erasure when reasoning from observations. The manuscript receives credit for explicitly flagging the isolation premise as questionable rather than assuming it without comment. However, the overall significance is limited because the central inferences remain interpretive and rest on thought-experiment reasoning without new formal derivations or empirical content.
major comments (2)
- [argument for (ii)] The inference in (ii) that subjective-collapse interpretations fail is drawn directly from the Frauchiger-Renner thought experiment (and similar ones), which is constructed under the assumption of unitary evolution within an isolated system. This is the same approximation explicitly questioned in (i) as potentially invalid for measurement-like processes. No independent derivation of the contradiction is supplied that avoids invoking the questioned premise.
- [discussion of (v)] Point (v) asserts that a single-world interpretation is valid if certain kinds of outcomes are not quantum-erased in the future, but provides no operational criterion for identifying which outcomes count as 'certain kinds' or for determining whether erasure has occurred, rendering the claim difficult to evaluate or test.
minor comments (2)
- The five numbered claims (i)-(v) are presented in the abstract and presumably developed in the body; adding explicit section headings or subsection labels for each would improve navigation and clarity.
- Additional citations to the literature on quantum erasure and its role in reasoning (beyond the Frauchiger-Renner references) would help situate the argument for (iv).
Simulated Author's Rebuttal
We thank the referee for the careful and constructive review. The comments help clarify the logical dependencies in our arguments, and we address each major point below. We have revised the manuscript to improve precision where the concerns are valid.
read point-by-point responses
-
Referee: [argument for (ii)] The inference in (ii) that subjective-collapse interpretations fail is drawn directly from the Frauchiger-Renner thought experiment (and similar ones), which is constructed under the assumption of unitary evolution within an isolated system. This is the same approximation explicitly questioned in (i) as potentially invalid for measurement-like processes. No independent derivation of the contradiction is supplied that avoids invoking the questioned premise.
Authors: We acknowledge that the argument in (ii) relies on the Frauchiger-Renner setup and its assumption of unitary evolution in an isolated system. Point (i) questions the physical validity of that approximation for real measurement-like processes, but the logical inference remains that, within any framework that accepts the standard quantum-mechanical description of the extended scenario (including unitary evolution), subjective-collapse interpretations lead to inconsistency. This is not presented as an independent derivation outside the thought-experiment framework; rather, it shows that subjective collapse cannot be consistently maintained once the extended Wigner's friend reasoning is granted. We will revise the manuscript to state this dependency explicitly and to distinguish the logical reductio from claims about real-world applicability, thereby removing any appearance of circularity. revision: yes
-
Referee: [discussion of (v)] Point (v) asserts that a single-world interpretation is valid if certain kinds of outcomes are not quantum-erased in the future, but provides no operational criterion for identifying which outcomes count as 'certain kinds' or for determining whether erasure has occurred, rendering the claim difficult to evaluate or test.
Authors: We agree that the original phrasing of (v) is too schematic and lacks sufficient operational detail. In the revised manuscript we will expand this point by specifying that the relevant outcomes are those recorded in stable, macroscopic degrees of freedom that undergo irreversible amplification (e.g., pointer positions or environmental records that decohere on laboratory timescales). We will further indicate that erasure is considered to have occurred when the quantum information of the observation is in principle recoverable via interference, and not erased when the record has been irreversibly dispersed into a large environment. These clarifications render the condition more concrete while remaining within the interpretive scope of the paper. revision: yes
Circularity Check
No circularity: arguments rest on external thought-experiments and conceptual analysis without self-referential reduction
full rationale
The paper presents five numbered conclusions derived from logical examination of the Frauchiger-Renner scenario and related thought-experiments drawn from external literature. Point (i) questions the isolated-system approximation while point (ii) draws an inference from the same scenario; these are presented as separate observations rather than a derivation in which one is defined in terms of the other. No equations, fitted parameters, ansatzes, or uniqueness theorems appear. Any self-citations (if present) are not invoked to justify load-bearing premises. The chain is therefore self-contained against standard quantum mechanics and the cited external references, with no reduction of outputs to inputs by construction.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption Quantum mechanics applies to isolated systems that include measurement-like processes
- domain assumption Thought experiments such as Frauchiger-Renner can be used to test consistency of quantum interpretations
Reference graph
Works this paper leans on
-
[1]
Kluwer Academic, Dordrecht (1993)
Peres, A.: Quantum Theory Concepts and Methods. Kluwer Academic, Dordrecht (1993)
work page 1993
-
[2]
In: Symmetries and Reflec- tions, pp
Wigner, E.P.: Remarks on the mind–body question. In: Symmetries and Reflec- tions, pp. 171–184. Indiana University Press, Bloomington (1967)
work page 1967
-
[3]
Frauchiger, D., Renner, R.: Quantum theory cannot consistently describe the use of itself. Nature Comm.9, 3711 (2018)
work page 2018
-
[4]
Physics Letters A496, 129306 (2024) https://doi.org/10.1016/j.physleta.2024.129306
Steane, A.M.: Irreversible behaviour of a gas owing to Unruh radiation. Physics Letters A496, 129306 (2024) https://doi.org/10.1016/j.physleta.2024.129306
-
[5]
Scholarpedia7, 11687 (2012) https://doi.org/10.4249/scholarpedia.11687
Goussev, A., Jalabert, R.A., Pastawski, H.M., Wisniacki, D.: Loschmidt echo. Scholarpedia7, 11687 (2012) https://doi.org/10.4249/scholarpedia.11687
-
[6]
Yan, B., Cincio, L., Zurek, W.H.: Information scrambling and Loschmidt echo. Phys. Rev. Lett.124, 160603 (2020) https://doi.org/10.1103/PhysRevLett.124. 160603
-
[7]
Peres, A.: Stability of quantum motion in chaotic and regular systems. Phys. Rev. A30, 1610–1615 (1984) https://doi.org/10.1103/PhysRevA.30.1610
-
[8]
Physics Letters A381, 3905–3908 (2017) https://doi.org/10.1016/ j.physleta.2017.08.044
Steane, A.M.: Matter-wave coherence limit owing to cosmic gravitational wave background. Physics Letters A381, 3905–3908 (2017) https://doi.org/10.1016/ j.physleta.2017.08.044
work page 2017
-
[9]
Gisin, N.: Time really passes. Science can’t deny that. In: Renner, R., Stupar, S. (eds.) Time in Physics, pp. 1–15. Springer, - (2017). https://doi.org/10.1007/ 978-3-319-68655-4 . arXiv:1602.01497
-
[10]
Gisin, N.: Indeterminism in physics, classical chaos and Bohmian mechanics: Are real numbers really real? Erkenntnis86, 1469–1481 (2021) https://doi.org/10. 1007/s10670-019-00165-8
work page 2021
-
[11]
Bakshi, A., Liu, A., Moitra, A., Tang, E.: High-Temperature Gibbs States are Unentangled and Efficiently Preparable (2024). https://arxiv.org/abs/2403. 16850
work page 2024
-
[12]
Unruh, W.G., Wald, R.M.: Information loss. Rep. Prog. Phys.80, 092002 (2017) https://doi.org/10.1088/1361-6633/aa778e
-
[13]
Cuffaro, M.E., Hartmann, S.: The open systems view. Philosophy of Physics (2024) https://doi.org/10.31389/pop.90
-
[14]
International Journal of Theoretical Physics24(1985) 29
Deutsch, D.: Quantum theory as a universal physical theory. International Journal of Theoretical Physics24(1985) 29
work page 1985
-
[15]
Wallace, D.: The sky is blue, and other reasons quantum mechanics is not underdetermined by evidence (2022) arXiv:2205.00568 [quant-ph]. preprint: arXiv.2205.00568
-
[16]
Zurek, W.H.: Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys.75, 715–775 (2003) https://doi.org/10.1103/RevModPhys.75. 715
-
[17]
Journal of Physics A40, 3223–3243 (2007)
Steane, A.: Context, spacetime loops and the interpretation of quantum mechan- ics. Journal of Physics A40, 3223–3243 (2007)
work page 2007
- [18]
-
[19]
New Journal of Physics20(11), 113025 (2018) https: //doi.org/10.1088/1367-2630/aaecec
Drossel, B., Ellis, G.: Contextual wavefunction collapse: an integrated theory of quantum measurement. New Journal of Physics20(11), 113025 (2018) https: //doi.org/10.1088/1367-2630/aaecec
-
[20]
Oxford University Press, Oxford (2002)
Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)
work page 2002
-
[21]
Gisin, N., Percival, I.C.: The quantum-state diffusion model applied to open systems. J. Phys. A: Math. Gen.25, 5677 (1992)
work page 1992
-
[22]
Dalibard, J., Castin, Y., Mølmer, K.: Wave-function approach to dissipative pro- cesses in quantum optics. Phys. Rev. Lett.68, 580–583 (1992) https://doi.org/ 10.1103/PhysRevLett.68.580
-
[23]
Tian, L., Carmichael, H.J.: Quantum trajectory simulations of two-state behavior in an optical cavity containing one atom. Phys. Rev. A46, 6801–6804 (1992) https://doi.org/10.1103/PhysRevA.46.R6801
-
[24]
Peres, A.: When is a quantum measurement? American Journal of Physics54(8), 688–692 (1986) https://doi.org/10.1119/1.14505 https://pubs.aip.org/aapt/ajp/article-pdf/54/8/688/12168550/688 1 online.pdf
-
[25]
Peres, A.: What is a state vector? American Journal of Physics52(7), 644–650 (1984) https://doi.org/10.1119/1.13586 https://pubs.aip.org/aapt/ajp/article- pdf/52/7/644/11597937/644 1 online.pdf
-
[26]
Found Phys47, 658–669 (2017) https://doi.org/0.1007/s10701-017-0082-7
Sudbery, A.: Single-world theory of the extended Wigner’s friend experiment. Found Phys47, 658–669 (2017) https://doi.org/0.1007/s10701-017-0082-7
work page 2017
-
[27]
Scientific Reports9, 470 (2019) https://doi.org/10.1038/ s41598-018-37535-1 30
Lazarovici, D., Hubert, M.: How quantum mechanics can consistently describe the use of itself. Scientific Reports9, 470 (2019) https://doi.org/10.1038/ s41598-018-37535-1 30
work page 2019
-
[28]
Foundations of Physics50(5), 441–456 (2020) https://doi.org/10.1007/s10701-020-00336-6
Kastner, R.E.: Unitary-only quantum theory cannot consistently describe the use of itself: On the frauchiger–renner paradox. Foundations of Physics50(5), 441–456 (2020) https://doi.org/10.1007/s10701-020-00336-6
-
[29]
Foundations of Physics 48, 1568–1589 (2018) https://doi.org/10.1007/s10701-018-0216-6
Healey, R.: Quantum theory and the limits of objectivity. Foundations of Physics 48, 1568–1589 (2018) https://doi.org/10.1007/s10701-018-0216-6
-
[30]
arXiv:1611.01111 [quant-ph] (2016)
Baumann, V., Hansen, A., Wolf, S.: The measurement problem is the mea- surement problem is the measurement problem. arXiv:1611.01111 [quant-ph] (2016)
-
[31]
Ormrod, N., Barrett, J.: A no-go theorem for absolute observed events without inequalities or modal logic. arXiv, 2209–03940 (2022)
work page 2022
-
[32]
Entropy20(5) (2018) https://doi.org/10.3390/e20050350
Brukner, C.: A no-go theorem for observer-independent facts. Entropy20(5) (2018) https://doi.org/10.3390/e20050350
-
[33]
Philosophy of Physics (2024) https://doi.org/10.31389/pop.158
Kastner, R.E.: Conventional quantum theory does not support a coherent rela- tional account. Philosophy of Physics (2024) https://doi.org/10.31389/pop.158
-
[34]
Philosophy of Physics1(1) (2023) https://doi.org/10
Adlam, E., Rovelli, C.: Information is physical: Cross-perspective links in rela- tional quantum mechanics. Philosophy of Physics1(1) (2023) https://doi.org/10. 31389/pop.8
work page 2023
-
[35]
Nature Physics16(12), 1199–1205 (2020) https://doi
Bong, K.-W., Utreras-Alarc´ on, A., Ghafari, F., Liang, Y.-C., Tischler, N., Cav- alcanti, E.G., Pryde, G.J., Wiseman, H.M.: A strong no-go theorem on the Wigner’s friend paradox. Nature Physics16(12), 1199–1205 (2020) https://doi. org/10.1038/s41567-020-0990-x
-
[36]
In: Lombardi, O., Fortin, S., Holik, F., L´ opez, C
Cabello, A.: Interpretations of quantum theory: A map of madness. In: Lombardi, O., Fortin, S., Holik, F., L´ opez, C. (eds.) What Is Quantum Information?, p. 138. Cambridge University Press, Cambridge, UK (2017). https://doi.org/10.1017/ 9781316494233.009 . arXiv:1509.04711v2 31
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.