Fine-tuned universe
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The characterization of the universe as finely tuned suggests that the occurrence of life in the universe is very sensitive to the values of certain fundamental physical constants and that the observed values are, for some reason, improbable.[1] If the values of any of certain free parameters in contemporary physical theories had differed only slightly from those observed, the evolution of the Universe would have proceeded very differently and life as it is understood may not have been possible.[2][3][4][5]
Various explanations of fine-tuning have been proposed, but the belief that the observed values require explanation depends on assumptions about what values are probable or "natural" in some sense.[1][6]
History
In 1913, the chemist Lawrence Joseph Henderson (1878–1942) wrote The Fitness of the Environment, one of the first books to explore concepts of fine tuning in the universe. Henderson discusses the importance of water and the environment with respect to living things, pointing out that life depends entirely on the very specific environmental conditions on earth, especially with regard to the prevalence and properties of water.[7]
In 1961, physicist Robert H. Dicke claimed that certain forces in physics, such as gravity and electromagnetism, must be perfectly fine-tuned for life to exist in the universe.[8][9] Fred Hoyle also argued for a fine-tuned universe in his 1984 book The Intelligent Universe. "The list of anthropic properties, apparent accidents of a non-biological nature without which carbon-based and hence human life could not exist, is large and impressive", Hoyle wrote.[10]
Belief in the fine-tuned universe led to the expectation that the Large Hadron Collider (LHC) would produce evidence of physics beyond the Standard Model, such as supersymmetry,[6] but by 2012 results from the LHC had not produced evidence for supersymmetry at the energy scales it was able to probe.[11]
Motivation
Physicist Paul Davies has said, "There is now broad agreement among physicists and cosmologists that the Universe is in several respects ‘fine-tuned' for life". However, he continued, "the conclusion is not so much that the Universe is fine-tuned for life; rather it is fine-tuned for the building blocks and environments that life requires."[12] He has also said that "'anthropic' reasoning fails to distinguish between minimally biophilic universes, in which life is permitted, but only marginally possible, and optimally biophilic universes, in which life flourishes because biogenesis occurs frequently".[13] Among scientists who find the evidence persuasive, a variety of natural explanations have been proposed, such as the existence of multiple universes introducing a survivorship bias under the anthropic principle.[1]
The premise of the fine-tuned universe assertion is that a small change in several of the physical constants would make the universe radically different. As Stephen Hawking has noted, "The laws of science, as we know them at present, contain many fundamental numbers, like the size of the electric charge of the electron and the ratio of the masses of the proton and the electron. ... The remarkable fact is that the values of these numbers seem to have been very finely adjusted to make possible the development of life."[5]
If, for example, the strong nuclear force were 2% stronger than it is (i.e. if the coupling constant representing its strength were 2% larger) while the other constants were left unchanged, diprotons would be stable; according to Davies, hydrogen would fuse into them instead of deuterium and helium.[14] This would drastically alter the physics of stars, and presumably preclude the existence of life similar to what we observe on Earth. The diproton's existence would short-circuit the slow fusion of hydrogen into deuterium. Hydrogen would fuse so easily that it is likely that all the universe's hydrogen would be consumed in the first few minutes after the Big Bang.[14] This "diproton argument" is disputed by other physicists, who calculate that as long as the increase in strength is less than 50%, stellar fusion could occur despite the existence of stable diprotons.[15]
The precise formulation of the idea is made difficult by the fact that we do not yet know how many independent physical constants there are. The standard model of particle physics has 25 freely adjustable parameters and general relativity has one more, the cosmological constant, which is known to be nonzero but profoundly small in value. But because physicists have not developed an empirically successful theory of quantum gravity, there is no known way to combine quantum mechanics, on which the standard model depends, and general relativity. Without knowledge of this more complete theory suspected to underlie the standard model, it is impossible to definitively count the number of truly independent physical constants. In some candidate theories, the number of independent physical constants may be as small as one. For example, the cosmological constant may be a fundamental constant, but attempts have also been made to calculate it from other constants, and according to the author of one such calculation, "the small value of the cosmological constant is telling us that a remarkably precise and totally unexpected relation exists among all the parameters of the Standard Model of particle physics, the bare cosmological constant and unknown physics."[16]
Examples
Martin Rees formulates the fine-tuning of the universe in terms of the following six dimensionless physical constants.[2][17]
- N, the ratio of the electromagnetic force to the gravitational force between a pair of protons, is approximately 1036. According to Rees, if it were significantly smaller, only a small and short-lived universe could exist.[17]
- Epsilon (ε), a measure of the nuclear efficiency of fusion from hydrogen to helium, is 0.007: when four nucleons fuse into helium, 0.007 (0.7%) of their mass is converted to energy. The value of ε is in part determined by the strength of the strong nuclear force.[18] If ε were 0.006, only hydrogen could exist, and complex chemistry would be impossible. According to Rees, if it were above 0.008, no hydrogen would exist, as all the hydrogen would have been fused shortly after the Big Bang. Other physicists disagree, calculating that substantial hydrogen remains as long as the strong force coupling constant increases by less than about 50%.[15][17]
- Omega (Ω), commonly known as the density parameter, is the relative importance of gravity and expansion energy in the universe. It is the ratio of the mass density of the universe to the "critical density" and is approximately 1. If gravity were too strong compared with dark energy and the initial metric expansion, the universe would have collapsed before life could have evolved. If gravity were too weak, no stars would have formed.[17][19]
- Lambda (Λ), commonly known as the cosmological constant, describes the ratio of the density of dark energy to the critical energy density of the universe, given certain reasonable assumptions such as that dark energy density is a constant. In terms of Planck units, and as a natural dimensionless value, Λ is on the order of 10−122.[20] This is so small that it has no significant effect on cosmic structures that are smaller than a billion light-years across. A slightly larger value of the cosmological constant would have caused space to expand rapidly enough that stars and other astronomical structures would not be able to form.[17][21]
- Q, the ratio of the gravitational energy required to pull a large galaxy apart to the energy equivalent of its mass, is around 10−5. If it is too small, no stars can form. If it is too large, no stars can survive because the universe is too violent, according to Rees.[17]
- D, the number of spatial dimensions in spacetime, is 3. Rees claims that life could not exist if there were 2 or 4 dimensions of spacetime nor if the number of time dimensions in spacetime were anything other than 1.[17] Rees argues this does not preclude the existence of ten-dimensional strings.[2]
Carbon and oxygen
An older example is the Hoyle state, the third-lowest energy state of the carbon-12 nucleus, with an energy of 7.656 MeV above the ground level.[22] According to one calculation, if the state's energy level were lower than 7.3 or greater than 7.9 MeV, insufficient carbon would exist to support life. Furthermore, to explain the universe's abundance of carbon, the Hoyle state must be further tuned to a value between 7.596 and 7.716 MeV. A similar calculation, focusing on the underlying fundamental constants that give rise to various energy levels, concludes that the strong force must be tuned to a precision of at least 0.5%, and the electromagnetic force to a precision of at least 4%, to prevent either carbon production or oxygen production from dropping significantly.[23]
Explanations
Some explanations of fine-tuning are naturalistic.[24] First, the fine-tuning might be an illusion: more fundamental physics may explain the apparent fine-tuning in physical parameters in our current understanding by constraining the values those parameters are likely to take. As Lawrence Krauss puts it, "certain quantities have seemed inexplicable and fine-tuned, and once we understand them, they don’t seem to so fine-tuned. We have to have some historical perspective."[21] Some argue it is possible that a final fundamental theory of everything will explain the underlying causes of the apparent fine-tuning in every parameter.[25][21]
Still, as modern cosmology developed, various hypotheses not presuming hidden order have been proposed. One is a multiverse, where fundamental physical constants are postulated to have different values outside of our own universe.[26][27] On this hypothesis, separate parts of reality would have wildly different characteristics. In such scenarios, the appearance of fine-tuning is explained as a consequence of the weak anthropic principle and selection bias (specifically survivorship bias); only those universes with fundamental constants hospitable to life (such as ours) could contain life forms capable of observing the universe and contemplating the question of fine-tuning in the first place.[28]
Multiverse
If the universe is just one of many, each with different physical constants, it would be unsurprising that we find ourselves in a universe hospitable to intelligent life (see multiverse: anthropic principle). Some versions of the multiverse hypothesis therefore provide a simple explanation for any fine-tuning.[1]
The multiverse idea has led to considerable research into the anthropic principle and has been of particular interest to particle physicists, because theories of everything do apparently generate large numbers of universes in which the physical constants vary widely. As yet, there is no evidence for the existence of a multiverse, but some versions of the theory make predictions of which some researchers studying M-theory and gravity leaks hope to see some evidence soon.[29] UNC-Chapel Hill professor Laura Mersini-Houghton claimed that the WMAP cold spot could provide testable empirical evidence for a parallel universe,[30] but this was later refuted as the WMAP cold spot was found to be nothing more than a statistical artifact.[31] Variants of this approach include Lee Smolin's notion of cosmological natural selection, the Ekpyrotic universe, and the Bubble universe theory.
Top-down cosmology
Stephen Hawking and Thomas Hertog proposed that the universe's initial conditions consisted of a superposition of many possible initial conditions, only a small fraction of which contributed to the conditions we see today.[32] On their theory, it is inevitable that we find our universe's "fine-tuned" physical constants, as the current universe "selects" only those past histories that led to the present conditions. In this way, top-down cosmology provides an anthropic explanation for why we find ourselves in a universe that allows matter and life, without invoking the ontic existence of the Multiverse.[33]
Carbon chauvinism
Some forms of fine-tuning arguments about the formation of life assume that only carbon-based life forms are possible, an assumption sometimes called carbon chauvinism.[34] Conceptually, alternative biochemistry or other forms of life are possible.[35]
Alien design
One hypothesis is that extra-universal aliens designed the universe. Some believe this would solve the problem of how a designer or design team capable of fine-tuning the universe could come to exist.[36] Cosmologist Alan Guth believes humans will in time be able to generate new universes.[37] By implication, previous intelligent entities may have generated our universe.[38] This idea leads to the possibility that the extra-universal designer/designers are themselves the product of an evolutionary process in their own universe, which must therefore itself be able to sustain life. It also raises the question of where that universe came from, leading to an infinite regress.
John Gribbin's Designer Universe theory suggests that an advanced civilization could have deliberately made the universe in another part of the Multiverse, and that this civilization may have caused the Big Bang.[39]
Religious apologetics
Some scientists, theologians, and philosophers, as well as certain religious groups, argue that providence or creation are responsible for fine-tuning.[40][41][42][43][44]
Christian philosopher Alvin Plantinga argues that random chance, applied to a single and sole universe, only raises the question as to why this universe could be so "lucky" as to have precise conditions that support life at least at some place (the Earth) and time (within millions of years of the present).
One reaction to these apparent enormous coincidences is to see them as substantiating the theistic claim that the universe has been created by a personal God and as offering the material for a properly restrained theistic argument – hence the fine-tuning argument. It's as if there are a large number of dials that have to be tuned to within extremely narrow limits for life to be possible in our universe. It is extremely unlikely that this should happen by chance, but much more likely that this should happen, if there is such a person as God.
— Alvin Plantinga, "The Dawkins Confusion: Naturalism ad absurdum"[45]
Philosopher and Christian apologist William Lane Craig cites this fine-tuning of the universe as evidence for the existence of God or some form of intelligence capable of manipulating (or designing) the basic physics that governs the universe.
Philosopher and theologian Richard Swinburne reaches the design conclusion using Bayesian probability.[46]
Scientist and theologian Alister McGrath has pointed out that the fine-tuning of carbon is even responsible for nature's ability to tune itself to any degree.
The entire biological evolutionary process depends upon the unusual chemistry of carbon, which allows it to bond to itself, as well as other elements, creating highly complex molecules that are stable over prevailing terrestrial temperatures, and are capable of conveying genetic information (especially DNA). […] Whereas it might be argued that nature creates its own fine-tuning, this can only be done if the primordial constituents of the universe are such that an evolutionary process can be initiated. The unique chemistry of carbon is the ultimate foundation of the capacity of nature to tune itself.[47][48]
Theoretical physicist and Anglican priest John Polkinghorne has stated: "Anthropic fine tuning is too remarkable to be dismissed as just a happy accident."[49]
See also
- Abiogenesis – Life arising from non-living matter
- Clockwork universe – Deterministic model of the universe
- Fine-tuning
- Rare Earth hypothesis – Hypothesis that complex extraterrestrial life is improbable and extremely rare
- Teleology – Thinking in terms of destiny or purpose
- Ultimate fate of the universe – Theories about the end of the universe
References
- ^ a b c d "Fine-Tuning". The Stanford Encyclopedia of Philosophy. Center for the Study of Language and Information (CSLI), Stanford University. Aug 22, 2017. Retrieved 2020-01-18.
- ^ a b c Rees, Martin (May 3, 2001). Just Six Numbers: The Deep Forces That Shape The Universe (1st American ed.). New York: Basic Books. p. 4.
- ^ Gribbin. J and Rees. M, Cosmic Coincidences: Dark Matter, Mankind, and Anthropic Cosmology pp. 7, 269, 1989, ISBN 0-553-34740-3
- ^ Davis, Paul (2007). Cosmic Jackpot: Why Our Universe Is Just Right for Life. New York: Orion Publications. p. 2. ISBN 978-0-61859226-5.
- ^ a b Stephen Hawking, 1988. A Brief History of Time, Bantam Books, ISBN 0-553-05340-X, pp. 7, 125.
- ^ a b Rosaler, Joshua (2018-09-20). "Fine Tuning Is Just Fine: Why it's not such a problem that the Large Hadron Collider hasn't found new physics". Nautil.us. NautilusThink Inc. Retrieved 2020-01-18.
- ^ Lawrence Joseph Henderson, The fitness of the environment: an inquiry into the biological significance of the properties of matter The Macmillan Company, 1913
- ^ R. H. Dicke (1961). "Dirac's Cosmology and Mach's Principle". Nature. 192 (4801): 440–41. Bibcode:1961Natur.192..440D. doi:10.1038/192440a0. S2CID 4196678.
- ^ Heilbron, J. L. The Oxford guide to the history of physics and astronomy, Volume 10 2005, p. 8.
- ^ Profile of Fred Hoyle at OPT Archived 2012-04-06 at the Wayback Machine. Optcorp.com. Retrieved on 2019-08-02.
- ^ Wolchover, Natalie (2012-11-20). "As Supersymmetry Fails Tests, Physicists Seek New Ideas". Quanta Magazine. Simons Foundation. Retrieved 2020-01-18.
- ^ Smith, W. S., Smith, J. S., & Verducci, D., eds., Eco-Phenomenology: Life, Human Life, Post-Human Life in the Harmony of the Cosmos (Berlin/Heidelberg: Springer, 2018), pp. 131–32.
- ^ Davies (2003). "How bio-friendly is the universe". Int. J. Astrobiol. 2 (115): 115. arXiv:astro-ph/0403050. Bibcode:2003IJAsB...2..115D. doi:10.1017/S1473550403001514. S2CID 13282341.
- ^ a b Paul Davies, 1993. The Accidental Universe, Cambridge University Press, pp. 70–71
- ^ a b MacDonald, J.; Mullan, D. J. (2009). "Big Bang nucleosynthesis: The strong nuclear force meets the weak anthropic principle". Physical Review D. 80 (4): 043507. arXiv:0904.1807. Bibcode:2009PhRvD..80d3507M. doi:10.1103/physrevd.80.043507. S2CID 119203730.
Contrary to a common argument that a small increase in the strength of the strong force would lead to destruction of all hydrogen in the Big Bang due to binding of the diproton and the dineutron with a catastrophic impact on life as we know it, we show that provided the increase in strong force coupling constant is less than about 50% substantial amounts of hydrogen remain.
- ^ Abbott, Larry (May 1988). "The Mystery of the Cosmological Constant". Scientific American. Vol. 258. pp. 106–13. doi:10.1038/scientificamerican0588-106.
- ^ a b c d e f g Lemley, Brad. "Why is There Life?". Discover magazine. Archived from the original on 2014-07-22. Retrieved 23 August 2014.
- ^ Morison, Ian (2013). "9.14: A universe fit for intelligent life". Introduction to astronomy and cosmology. Hoboken, NJ: Wiley. ISBN 978-1118681527.
- ^ Sean Carroll and Michio Kaku (2014). How the Universe Works 3. Vol. End of the Universe. Discovery Channel.
- ^ Barrow, John D.; Shaw, Douglas J. (2011). "The value of the cosmological constant". General Relativity and Gravitation. 43 (10): 2555–60. arXiv:1105.3105. Bibcode:2011GReGr..43.2555B. doi:10.1007/s10714-011-1199-1. S2CID 55125081.
- ^ a b c Ananthaswamy, Anil. "Is the Universe Fine-Tuned for Life?". Public Broadcasting Service (PBS).
- ^ Schatzman, E. L., & Praderie, F., The Stars (Berlin/Heidelberg: Springer, 1993), pp. 125–27.
- ^ Livio, M.; Hollowell, D.; Weiss, A.; Truran, J. W. (27 July 1989). "The anthropic significance of the existence of an excited state of 12C". Nature. 340 (6231): 281–84. Bibcode:1989Natur.340..281L. doi:10.1038/340281a0. S2CID 4273737.
- ^ Hinnells, J., The Routledge Companion to the Study of Religion (Abingdon-on-Thames: Routledge, 2010), pp. 119, 125.
- ^ O’Keefe, Madeleine (28 January 2020). "Fine-tuning versus naturalness". symmetry magazine. Retrieved 18 February 2021.
- ^ Tegmark, Max (May 2003). "Parallel Universes". Scientific American. Vol. 288. pp. 40–51. arXiv:astro-ph/0302131. Bibcode:2003SciAm.288e..40T. doi:10.1038/scientificamerican0503-40. PMID 12701329.
- ^ Wheeler, J. A., "Genesis and Observership," in R. E. Butts, J. Hintikka, eds., Foundational Problems in the Special Sciences (Dordrecht: D. Reidel, 1977), pp. 3–33.
- ^ Bostrom, N. (2002). Anthropic Bias: Observation Selection Effects in Science and Philosophy. Routledge. ISBN 978-0-415-93858-7.
- ^ Parallel Worlds,2005, Michio Kaku, pp. 220–221
- ^ "Two Programmes – Horizon, 2010–2011, What Happened Before the Big Bang?". BBC. Retrieved 2011-01-02.
- ^ Zhang, Ray; Dragan Huterer (2010). "Disks in the sky: A reassessment of the WMAP "cold spot"". Astroparticle Physics. 33 (69 (2010)): 69. arXiv:0908.3988v2. Bibcode:2010APh....33...69Z. CiteSeerX 10.1.1.249.6944. doi:10.1016/j.astropartphys.2009.11.005. S2CID 5552896.
- ^ Ball, Philip (June 21, 2006). "Hawking Rewrites History...Backwards". Nature: news060619–6. doi:10.1038/news060619-6. S2CID 122979772. Retrieved April 19, 2010.
- ^ Hawking, S. W.; Hertog, Thomas (February 2006). "Populating the Landscape: A Top Down Approach". Phys. Rev. D73 (12): 123527. arXiv:hep-th/0602091v2. Bibcode:2006PhRvD..73l3527H. doi:10.1103/PhysRevD.73.123527. S2CID 9856127.
- ^ Stenger, Victor J. "Is The Universe Fine-Tuned For Us?" (PDF). University of Colorado. Archived from the original (PDF) on 2012-07-16.
- ^ See, e.g. Cohen, J., & Stewart, I.: What Does a Martian Look Like: The Science of Extraterrestrial Life, Wiley, 2002, p. 159.
- ^ Dick, S. J., The Impact of Discovering Life Beyond Earth (Cambridge: Cambridge University Press, 2015), p. 59.
- ^ Malcolm W. Browne (1987-04-14). "Physicist Aims to Create a Universe, Literally". The New York Times. Retrieved 2015-10-17.
- ^ Science & Nature – Horizon – Parallel Universes – Transcript. BBC (2002-02-14). Retrieved on 2013-03-11.
- ^ John Gribbin, In Search of the Multiverse: Parallel Worlds, Hidden Dimensions, and the Ultimate Quest for the Frontiers of Reality, 2010, p. 195
- ^ Colyvan et al. (2005). Problems with the Argument from Fine Tuning. Synthese 145: 325–38.
- ^ Michael Ikeda and William H. Jefferys, "The Anthropic Principle Does Not Support Supernaturalism," in The Improbability of God, Michael Martin and Ricki Monnier, Editors, pp. 150–66. Amherst, NY: Prometheus Press. ISBN 1-59102-381-5.
- ^ Park, Robert L. (2009). Superstition: Belief in the Age of Science. Princeton University Press. p. 11. ISBN 978-0-691-13355-3
- ^ Chown, Marcus (14 June 2011). "Why the universe wasn't fine-tuned for life". New Scientist. 210 (2816): 49. Bibcode:2011NewSc.210R..49C. doi:10.1016/S0262-4079(11)61395-X. Archived from the original on 14 June 2011.
- ^ Sober, E., 2004. "The Design Argument", in W. E. Mann, ed., The Blackwell Guide to the Philosophy of Religion, ch. 6. Blackwell Publishing. ISBN 0-631-22129-8.
- ^ Alvin Plantinga, "The Dawkins Confusion: Naturalism ad absurdum," Christianity Today, March/April 2007
- ^ Richard Swinburne, 1990. Argument from the fine-tuning of the Universe, in Physical cosmology and philosophy, J. Leslie, Editor. Collier Macmillan: New York. pp. 154–73.
- ^ McGrath, Alister E. (2009). A fine-tuned universe : the quest for God in science and theology (1st ed.). Louisville, KY: Westminster John Knox Press. p. 176. ISBN 978-0664233105.
- ^ "What is the "fine-tuning" of the universe, and how does it serve as a "pointer to God"?". BioLogos.org. Archived from the original on 2014-12-21.
- ^ Polkinghorne, John (1998) Science and Theology: An Introduction p. 75
Further reading
- Barrow, John D.; Tipler, Frank J. (1986). The Anthropic Cosmological Principle (1st ed.). Oxford University Press. ISBN 978-0-19-282147-8. LCCN 87028148.
- John D. Barrow (2003). The Constants of Nature, Pantheon Books, ISBN 0-375-42221-8
- Bernard Carr, ed. (2007). Universe or Multiverse? Cambridge University Press.
- Mark Colyvan, Jay L. Garfield, Graham Priest (2005). "Problems with the Argument from Fine Tuning". Synthese 145: 325–38.
- Paul Davies (1982). The Accidental Universe, Cambridge University Press, ISBN 0-521-24212-6
- Paul Davies (2007). Cosmic Jackpot: Why Our Universe Is Just Right for Life, Houghton Mifflin Harcourt, ISBN 0-618-59226-1. Reprinted as: The Goldilocks Enigma: Why Is the Universe Just Right for Life?, 2008, Mariner Books, ISBN 0-547-05358-4.
- Geraint F. Lewis and Luke A. Barnes (2016). A Fortunate Universe: Life in a finely tuned cosmos, Cambridge University Press. ISBN 1107156610
- Alister McGrath (2009). A Fine-Tuned Universe: The Quest for God in Science and Theology, Westminster John Knox Press, ISBN 0-664-23310-4.
- Timothy J. McGrew, Lydia McGrew, Eric Vestrup (2001). "Probabilities and the Fine-Tuning Argument: A Sceptical View". Mind 110: 1027–37.
- Simon Conway Morris (2003). Life's Solution: Inevitable Humans in a Lonely Universe. Cambridge Univ. Press.
- Martin Rees (1999). Just Six Numbers, HarperCollins Publishers, ISBN 0-465-03672-4.
- Victor J. Stenger (2011). The Fallacy of Fine-Tuning: Why the Universe Is Not Designed for Us. Prometheus Books. ISBN 978-1-61614-443-2.
- Peter Ward and Donald Brownlee (2000). Rare Earth: Why Complex Life is Uncommon in the Universe. Springer Verlag.
- Jeffrey Koperski (2015). The Physics of Theism: God, Physics, and the Philosophy of Science, John Wiley & Sons ISBN 978-1118932803
External links
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/34px-Wikiquote-logo.svg.png)
- Defend fine-tuning
- Anil Ananthaswamy: Is the Universe Fine-tuned for Life?
- Francis Collins, Why I'm a man of science-and faith. National Geographic article.
- Custom Universe, Documentary of fine-tuning with scientific experts.
- Mawson, T. J. (2011). "Explaining the fine tuning of the universe to us and the fine tuning of us to the universe". Philosophy. 68: 25–50. doi:10.1017/s1358246111000075. S2CID 123203362.
- Hugh Ross: Evidence for the Fine Tuning of the Universe
- Interview with Charles Townes discussing science and religion.
- Criticize fine tuning
- Bibliography of online Links to criticisms of the Fine-Tuning Argument. Secular Web.
- Victor Stenger:
- Elliott Sober, "The Design Argument." An earlier version appeared in the Blackwell Companion to the Philosophy of Religion (2004).