Black holes, quantum theory and cosmology
Open accessAbstract
Some reasons are given for believing that the rules of quantum (field) theory must be changed when general relativity becomes seriously involved. If full quantum mechanical respect is paid to the principle of equivalence, we find that a superposition of gravitational fields leads to an illegal superposition of different vacua, giving support to a proposal for spontaneous quantum state reduction made earlier by Diósi, and then independently by the author. A different line of attack involves the over-riding role of black holes in the total entropy content of the universe, and in the operation of the 2nd Law of thermodynamics. The author's proposal of conformal cyclic cosmology is reviewed in order to highlight a seeming paradox, according to which the entropy of the universe of the remote future seems to return to the small kind of value that it had at the big bang. The paradox is resolved when we take into account the information loss that, from this perspective, necessarily occurs in Hawking's black-hole evaporation, with the accompanying loss of unitarity.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In DP, the reduction R of the quantum state is an actual physical process not part of conventional unitary formalism, resulting from melding general relativity with quantum formalism.
“In the DP version of OR, the reduction R of the quantum state does not arise as some kind of convenience or effective consequence of environmental decoherence, etc., as the conventional U formalism would seem to demand, but is instead taken to be one of the consequences of melding together the principles of Einstein's general relativity with those of the conventional unitary quantum formalism U,”
From Consciousness in the universe (2014) · cites this paper as [95]
DP is a proposal for extending quantum mechanics that takes the bridge between quantum and classical physics as a quantum-gravitational phenomenon.
“Diósi-Penrose objective reduction (DP) is a particular proposal for an extension of current quantum mechanics, taking the bridge between quantum-and classical-level physics as a 'quantum-gravitational' phenomenon.”
From Consciousness in the universe (2014) · cites this paper as [95]
The Diósi-Penrose (DP) proposal gives an objective physical threshold, providing a plausible lifetime for quantum-superposed states.
“The DP proposal gives an objective physical threshold, providing a plausible lifetime for quantum-superposed states.”
From Consciousness in the universe (2014) · cites this paper as [95]
Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106 · see citing works
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983 · see citing works
Notes on black-hole evaporation
Unruh, W. G. (1976) · Physical Review D · doi:10.1103/physrevd.14.870 · Cited by 4,850 · see citing works
(1990) · Cited by 4,363 · see citing works
Penrose, R., & Rindler, W. (1984) · doi:10.1017/cbo9780511564048 · Cited by 2,172 · see citing works
Self-citationOn gravity's role in quantum state reduction
Penrose, R. (1996) · General Relativity and Gravitation · doi:10.1007/bf02105068 · Cited by 1,872 · see citing works
Self-citationBlack holes and thermodynamics
Hawking, S. W. (1976) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.13.191 · Cited by 1,563 · see citing works
Oscillatory approach to a singular point in the relativistic cosmology
Belinskii, V. A., Khalatnikov, I. M., & Lifshitz, E. M. (1970) · Advances in Physics · doi:10.1080/00018737000101171 · Cited by 1,341 · see citing works
Observation of Gravitationally Induced Quantum Interference
Colella, R., Overhauser, A. W., & Werner, S. A. (1975) · Physical Review Letters · doi:10.1103/physrevlett.34.1472 · Cited by 1,058 · see citing works
Models for universal reduction of macroscopic quantum fluctuations
Diósi, L. (1989) · Physical Review A · doi:10.1103/physreva.40.1165 · Cited by 1,017 · see citing works
Towards quantum superpositions of a mirror
Marshall, W., Simon, C., Penrose, R., & Bouwmeester, D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.130401 · Cited by 960 · see citing works
Self-citationPenrose, R., & Rindler, W. (1986) · Cambridge University Press eBooks · doi:10.1017/cbo9780511524486 · Cited by 919 · see citing works
Self-citationZero rest-mass fields including gravitation: asymptotic behaviour
Penrose, R. (1965) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1965.0058 · Cited by 853 · see citing works
Self-citationQuantum Nature of the Big Bang
Ashtekar, A., Pawlowski, T., & Singh, P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.141301 · Cited by 825 · see citing works
Penrose, R. (2004) · Cited by 584 · see citing works
Self-citationA universal master equation for the gravitational violation of quantum mechanics
Diósi, L. (1987) · Physics Letters A · doi:10.1016/0375-9601(87)90681-5 · Cited by 538 · see citing works
Guth, A. H., & Steinhardt, P. J. (1984) · Scientific American · doi:10.1038/scientificamerican0584-116 · Cited by 431 · see citing works
Gravitation and quantum-mechanical localization of macro-objects
Diósi, L. (1984) · Physics Letters A · doi:10.1016/0375-9601(84)90397-9 · Cited by 380 · see citing works
Spinors and Space-Time, Volume 2: Spinor and Twistor Methods in Space-Time Geometry
Penrose, R., Rindler, W., & Goldberg, J. N. (1986) · Physics Today · doi:10.1063/1.2815249 · Cited by 338 · see citing works
Self-citationOn the structure of causal spaces
Kronheimer, E. H., & Penrose, R. (1967) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s030500410004144x · Cited by 290 · see citing works
Self-citationBraunstein, S. L., & Pati, A. K. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.080502 · Cited by 187 · see citing works
Difficulties with Inflationary Cosmology <sup>a</sup>
PENROSE, R. (1989) · Annals of the New York Academy of Sciences · doi:10.1111/j.1749-6632.1989.tb50513.x · Cited by 165 · see citing works
Self-citationMeasurement of Neutron Quantum Interference in Noninertial Frames
Bonse, U., & Wroblewski, T. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.1401 · Cited by 162 · see citing works
Oscillatory approach to the singular point in relativistic cosmology
Belinskiǐ, V. A., LIFSHITZ, E. M., & Khalatnikov, I. M. (1970) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0102.197011d.0463 · Cited by 160 · see citing works
Theoretical Principles in Astrophysics and Relativity
Lebovitz, N. R., Reid, W. H., & Vandervoort, P. O. (1978) · Medical Entomology and Zoology · Cited by 139 · see citing works
Endless universe: beyond the big bang
(2008) · Choice Reviews Online · doi:10.5860/choice.45-4362 · Cited by 125 · see citing works
Proceedings of the 12th Texas symposium on relativistic astrophysics
Livio, M., & Shaviv, G. (1986) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 123 · see citing works
What happened before the big bang?
Bojowald, M. (2007) · Nature Physics · doi:10.1038/nphys654 · Cited by 104 · see citing works
The Geometric universe: science, geometry, and the work of Roger Penrose
(1999) · Choice Reviews Online · doi:10.5860/choice.36-3963 · Cited by 88 · see citing works
Jozsa, R. (1998) · Oxford University Press eBooks · Cited by 55 · see citing works
Isotropic cosmological singularities: other matter models
Tod, K. P. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/3/309 · Cited by 51 · see citing works
Conformal invariance and conservation laws for relativistic wave equations for zero rest mass
McLennan, J. A. (1956) · Il Nuovo Cimento · doi:10.1007/bf02785012 · Cited by 48 · see citing works
Isotropic cosmological singularities: other matter models
Tod, K. P. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 46 · see citing works
The basic ideas of conformal cyclic cosmology
Penrose, R. (2012) · AIP conference proceedings · doi:10.1063/1.4727997 · Cited by 42 · see citing works
Self-citationA Simple/Short Introduction to Pre-Big-Bang Physics/CosmologyPreprint
VENEZIANO, G. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9802057 · Cited by 38 · see citing works
A reduced hamiltonian model for U(∞) gauge theories
Kitazawa, Y., & Wadia, S. R. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)90469-0 · Cited by 26 · see citing works
Causality, quantum theory and cosmology
Penrose, R. (2008) · Cambridge University Press eBooks · doi:10.1017/cbo9781139644259.004 · Cited by 22 · see citing works
Self-citationPenrose, R. (1993) · Cited by 17 · see citing works
Self-citationCosmology and the Meaning of Time
Rugh, S. E. (2006) · Cited by 4 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Hameroff, S., & Penrose, R. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2013.08.002 · Cited by 983 · see citing works
“We believe that the underlying scheme of Orch OR has a good chance of being basically correct in its fundamental conceptions.”
BackgroundSelf-citationWiest, M. C. (2025) · Neuroscience of Consciousness · doi:10.1093/nc/niaf011 · Cited by 34 · see citing works
“Although it is widely believed that the second law of thermodynamics explains the arrow of time, this statistical explanation is incoherent without some irreversibility in the fundamental physical dynamics (Penrose 2009, Kastner 2017).”
Quantum Models of Consciousness from a Quantum Information Science Perspective
Gassab, L., Pusuluk, O., Cattaneo, M., & Müstecaplıoğlu, Ö. E. (2025) · Entropy · doi:10.3390/e27030243 · Cited by 14 · see citing works
- Authors
- Penrose, R.
- Affiliations
- University of Oxford (GB)
- Corresponding author
- Penrose, Roger
- Venue
- Journal of Physics Conference Series
- Publisher
- IOP Publishing
- Published
- 2009-06-01
- Volume
- 174
- Pages
- 012001
- ISSN
- 1742-6588 (ISSN-L)
- 1742-6596
- OpenAlex
- W2023210939
- Cited by
- 42
- References
- 39
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 3 · 2023: 1 · 2021: 2 · 2020: 2 · 2019: 4 · 2018: 1 · 2017: 2 · 2016: 4 · 2015: 1 · 2014: 5 · 2013: 6 · 2012: 4
- FWCI
- 12.35
- Type
- conference paper
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Journal of Physics Conference Series (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- black holes, quantum gravity, equivalence principle, quantum state reduction, black hole entropy, second law of thermodynamics, conformal cyclic cosmology, information loss, Hawking radiation, unitarity, cosmological entropy
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review