Making predictions in a multiverse: conundrums, dangers, coincidences
Abstract
Introduction The standard models of particle physics and cosmology are both rife with numerical parameters that must have values fixed by hand to explain the observed world. The world would be a radically different place if some of these constants took a different value. In particular, it has been argued that if any one of six (or perhaps a few more) numbers did not have rather particular values, then life as we know it would not be possible [1]; atoms would not exist, or no gravitationally bound structures would form in the Universe, or some other calamity would occur that would appear to make the alternative universe a very dull and lifeless place. How, then, did we get so lucky as to be here? This question is an interesting one because all of the possible answers to it that I have encountered or devised entail very interesting conclusions. An essentially exhaustive list of such answers follows. (i) We just got very lucky. All of the numbers could have been very different, in which case the Universe would have been barren, but they just happened by pure chance to take values in the tiny part of parameter space that would allow life. We owe our existence to one very, very, very lucky roll of the dice. (ii) We were not particularly lucky. Almost any set of parameters would have been fine, because life would find a way to arise in nearly any type of universe. […]
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?
The 'principle of living dangerously' states that if the prior probability for a parameter is a rapidly increasing (or decreasing) function, then we expect the observed value of the parameter to lie near the edge of the anthropically allowed range.
“It is called the 'principle of living dangerously': if the prior probability for a parameter is a rapidly increasing (or decreasing) function, then we expect the observed value of the parameter to lie near the edge of the anthropically allowed range.”
From The Fine-Tuning of the Universe for Intelligent Life (2012) · cites this paper as Aguirre (2007)
Cites
Inflation and eternal inflation
Guth, A. H. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00037-5 · Cited by 297 · see citing works
Hogan, C. J. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.1149 · Cited by 248 · see citing works
What does inflation really predict?
Tegmark, M. (2005) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2005/04/001 · Cited by 216 · see citing works
Why Is the Cosmic Microwave Background Fluctuation Level 10<sup>−5</sup>?
Tegmark, M., & Rees, M. J. (1998) · The Astrophysical Journal · doi:10.1086/305673 · Cited by 159 · see citing works
On likely values of the cosmological constant
Garriga, J., & Vilenkin, A. (2000) · Physical Review D · doi:10.1103/physrevd.61.083502 · Cited by 133 · see citing works
Solutions to the cosmological constant problems
Garriga, J., & Vilenkin, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.023517 · Cited by 128 · see citing works
Cosmological constant and the time of its dominance
Garriga, J., Livio, M., & Vilenkin, A. (1999) · Physical Review D · doi:10.1103/physrevd.61.023503 · Cited by 115 · see citing works
Scientific alternatives to the anthropic principle
Smolin, L. (2007) · Universe or Multiverse? · doi:10.1017/cbo9781107050990.022 · Cited by 83 · see citing works
Predictability crisis in inflationary cosmology and its resolution
Vanchurin, V., Vilenkin, A., & Winitzki, S. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.083507 · Cited by 66 · see citing works
Prescription for probabilities in eternal inflation
Garriga, J., & Vilenkin, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.023507 · Cited by 61 · see citing works
Multiple universes, cosmic coincidences, and other dark matters
Aguirre, A., & Tegmark, M. (2005) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2005/01/003 · Cited by 58 · see citing works
Self-citationScience and Ultimate Reality: Cosmic inflation and the arrow of time
Albrecht, A. (2002) · Cambridge University Press eBooks · doi:10.1017/cbo9780511814990.021 · Cited by 58 · see citing works
Regularization scheme dependence of predictions in inflationary cosmology.
Linde, A., & Mezhlumian, A. (1995) · Physical Review D, Particles and fields · doi:10.1103/physrevd.53.4267 · Cited by 43 · see citing works
Anthropic distribution for cosmological constant and primordial density perturbations
Graesser, M. L., Hsu, S. D. H., Jenkins, A., & Wise, M. B. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.08.061 · Cited by 41 · see citing works
Anthropic predictions for neutrino masses
Tegmark, M., Vilenkin, A., & Pogosian, L. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.103523 · Cited by 40 · see citing works
Why does inflation start at the top of the hill
Hawking, S., & Hertog, T. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.123509 · Cited by 38 · see citing works
Discretuum versus continuum dark energy
Dimopoulos, S., & Thomas, S. (2003) · doi:10.1016/j.physletb.2003.08.061 · Cited by 31
Anthropic predictions for vacuum energy and neutrino masses in the light of WMAP-3
Pogosian, L., & Vilenkin, A. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/01/025 · Cited by 30 · see citing works
SUPERSYMMETRY, NATURALNESS AND THE LANDSCAPE
Dine, M. (2004) · doi:10.1142/9789812701756_0093 · Cited by 18
Quantum Cosmology and the Constants of Nature
Vilenkin, A. (1995) · doi:10.48550/arxiv.gr-qc/9512031 · Cited by 14
Flagged first, then by citations
4 of the 24 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Varying Constants, Gravitation and Cosmology
Uzan, J. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-2 · Cited by 820 · see citing works
Categorizing Different Approaches to the Cosmological Constant Problem
Nobbenhuis, S. (2004) · Foundations of Physics · doi:10.1007/s10701-005-9042-8 · Cited by 237 · see citing works
“uld also lead to a small cosmological constant, long-lived stars, planets and chemistry based life, for example a cold big bang scenario. An analysis of how to make an anthropic prediction is made in [260]. A notvery technical andalmost foundationalintroduction tothe anthropic principle is given by [96]. 6.3.1. Discre…”
BackgroundInfluentialThe Fine-Tuning of the Universe for Intelligent Life
Barnes, L. A. (2012) · Publications of the Astronomical Society of Australia · doi:10.1071/as12015 · Cited by 150 · see citing works
“A closer look at our island in parameter space reveals a refinement of the mediocrity test, as discussed by Aguirre (2007); see also Bousso, Hall & Nomura (2009).”
BackgroundThe Cosmological Constant Problem, an Inspiration for New PhysicsPreprint
Nobbenhuis, S. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0609011 · Cited by 61 · see citing works
Carroll, S. M. (2006) · Nature · doi:10.1038/nature04804 · Cited by 87 · see citing works
Cosmic Confusions: Not Supporting versus Supporting Not*
Norton, J. (2010) · Philosophia Scientiæ · doi:10.1086/661504 · Cited by 53 · see citing works
“See, e.g., Aguirre (2007), Page (2007, 422), and Tegmark (2007, 121–22). dence supplies completely neutral support for the actualization of each multiverse.”
BackgroundThe Born rule fails in cosmology
Page, D. (2009) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2009/07/008 · Cited by 47 · see citing works
Landscape predictions for the Higgs boson and top quark masses
Feldstein, B., Hall, L. J., & Watari, T. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.095011 · Cited by 41 · see citing works
Cosmological measures without volume weighting
Page, D. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/10/025 · Cited by 39 · see citing works
Eternal Inflation, past and futurePreprint
Aguirre, A. N. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0712.0571 · Cited by 42 · see citing works
Self-citationFundamental constants: from measurement to the universe, a window on gravitation and cosmology
Uzan, J.-P. (2025) · Living Reviews in Relativity · doi:10.1007/s41114-025-00059-y · Cited by 36 · see citing works
Predictability crisis in early universe cosmology
Smeenk, C. (2014) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2013.11.003 · Cited by 29 · see citing works
“This illustrates a more general problem with anthropic arguments, namely the limitations of treating constraints on a single parameter instead of constraints on a set of free parameters; see Aguirre (2007a) for further discussion.”
BackgroundInfluentialCritical Issues in the History, Philosophy, and Sociology of Astrobiology
Dick, S. J. (2012) · Astrobiology · doi:10.1089/ast.2011.0786 · Cited by 29 · see citing works
“Others are not so sure that it is completely unfalsifiable (Aguirre, 2007; Page, 2007; Stoeger, 2007), and even Smolin offers his theory of cosmological natural selection of universes as falsifiable in the case the ensemble of universes is not randomly sprinkled in”
Smeenk, C., & Ellis, G. (2013) · Oxford University Press eBooks · doi:10.1093/oxfordhb/9780195392043.013.0018 · Cited by 24 · see citing works
“See Aguirre (2007) for a discussion of the problems associated with considering a single parameter.”
BackgroundPage, D. (2011) · doi:10.48550/arxiv.1102.5339 · Cited by 23
Measures on transitions for cosmology from eternal inflation.
Aguirre, A., Gratton, S., & Johnson, M. C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.98.131301 · Cited by 22 · see citing works
Self-citationSome Trends in the Philosophy of Physics
Zinkernagel, H. (2011) · THEORIA · doi:10.1387/theoria.1853 · Cited by 19 · see citing works
“Of course, the problems with this principle are well known both in the literature on Bayesianism ((see e.g. Howson 2008, 108 ff.) and on the multiverse — where it appears in connection with the so-called measure problem (see e.g. Aguirre 2007).”
BackgroundScientific Realism and Primordial Cosmology
Azhar, F., & Butterfield, J. (2016) · Routledge eBooks · doi:10.4324/9780203712498-25 · Cited by 15 · see citing works
What kind of science is cosmology?
Goenner, H. (2009) · Annalen der Physik · doi:10.1002/andp.201010450 · Cited by 14 · see citing works
Prediction and typicality in multiverse cosmology
Azhar, F. (2015) · doi:10.1088/0264-9381/31/3/035005 · Cited by 12
“this prediction varies with typicality assumptions. We are furthermore interested in the topdown case of Aguirre and Tegmark [9], which corresponds most closely to Weinstein’s WAP 1 (see also Aguirre [21]). In setting up the problem (section 3.1), we closely follow the exposition of [9]. 3.1. Thetop-downapproachofAgui…”
BackgroundInfluentialFriederich, S. (2018) · Journal for General Philosophy of Science · doi:10.1007/s10838-018-9422-3 · Cited by 7 · see citing works
The Standard Cosmological Model: Achievements and Issues
Ellis, G. (2018) · Foundations of Physics · doi:10.1007/s10701-018-0176-x · Cited by 12 · see citing works
“2), that kind of inflation is not supported by the Planck data [1,2,64], and in any case the measure problem for inflationary models is unsolved [3].”
Agnesi weighting for the measure problem of cosmology
Page, D. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/03/031 · Cited by 10 · see citing works
Possible Anthropic Support for a Decaying Universe: A Cosmic Doomsday Argument
Page, D. (2009) · doi:10.48550/arxiv.0907.4153 · Cited by 10
String Theory - From Physics to MetaphysicsPreprint
Hedrich, R. (2006) · arXiv (Cornell University) · doi:10.17877/de290r-7011 · Cited by 7 · see citing works
“Cf. Aguirre (2005), Stoeger / Ellis / Kirchner (2004), Weinstein (2005).”
BackgroundSpacetime Average Density (SAD) cosmological measures
Page, D. N. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/11/038 · Cited by 6 · see citing works
“Theoretical cosmology is plagued with the measure problem, the problem of how to predict the probabilities of observations in the universe from the quantum state (or from some other such input) [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 3…”
BackgroundCOSMOLOGICAL MEASURES WITH VOLUME AVERAGING
Page, D. (2011) · International Journal of Modern Physics Conference Series · doi:10.1142/s2010194511000110 · Cited by 6 · see citing works
Finely Tuned Models Sacrifice Explanatory Depth
Azhar, F., & Loeb, A. (2019) · Foundations of physics · doi:10.1007/s10701-021-00493-2 · Cited by 5 · see citing works
What Makes a Theory Testable, or Is Intelligent Design Less Scientific Than String Theory?
Ehrlich, R. (2006) · Physics in Perspective · doi:10.1007/s00016-005-0279-6 · Cited by 4 · see citing works
Effective field theories as a novel probe of fine-tuning of cosmic inflation
Azhar, F. (2019) · Studies in history and philosophy of modern physics · doi:10.1016/j.shpsb.2020.05.001 · Cited by 4 · see citing works
“16See Aguirre (2007) and Azhar and Butterfield (2018) for more detailed discussion.”
BackgroundInfluentialThe day the universes interacted: quantum cosmology without a wave function
Yurov, A., & Yurov, V. (2019) · The European Physical Journal C · doi:10.1140/epjc/s10052-019-7261-y · Cited by 2 · see citing works
Three Aspects of Typicality in Multiverse Cosmology
Azhar, F. (2016) · doi:10.1007/978-3-319-53730-6_11 · Cited by 2
“Aguirre (2007) lays out seven related steps one needs to take in order to extract testable predictions.”
BackgroundInfluentialPure variation and organic stratification
Rosanvallon, J. (2012) · Progress in Biophysics and Molecular Biology · doi:10.1016/j.pbiomolbio.2012.06.002 · Cited by 2 · see citing works
“48 Aguirre (2007) perfectly shows that the “standard” framework of the mul-”
Background
- Authors
- Aguirre, A.
- Affiliations
- University of California System (US)
- Corresponding author
- Aguirre, Anthony
- ORCID
- Aguirre, Anthony
- Venue
- Universe or Multiverse?
- Publisher
- Cambridge University Press
- Published
- 2007-06-21
- Pages
- 367-386
- OpenAlex
- W3048659278
- Cited by
- 27
- References
- 24
- Citations by year
- 2025: 2 · 2021: 1 · 2020: 1 · 2018: 1 · 2017: 2 · 2016: 1 · 2013: 3 · 2012: 3
- FWCI
- 6.71
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Space Science and Extraterrestrial Life
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Mathematical Theories and Applications
- Keywords
- anthropic principle, multiverse, fine-tuning, fundamental physical constants, parameter space, life-permitting universe, coincidence problem
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