Fine Tuning
Fine Tuning
Fine Tuning
Investigations by cosmologists during the past sixty years have uncovered a remark-
able new picture of our amazing universe and its incredible journey from the big bang
to our “finely tuned” habitat. It appears that the initial conditions, the mathematical
forms that nature takes, and the universal constants must each be precisely tuned to
have a suitable habitat for complex, conscious life. Whether this fine tuning is evidence
for a creator God is explored, while trying to avoid making fallacious “God of the gaps”
claims and instead pointing appropriately to patterns in nature that provide legitimate
evidence for a creator God.
W
hy is “Fine Tuning” such a The universe is such a remarkable place
popular subject today, as evi- of habitation for complex, conscious life
denced by the many books that that it is extremely difficult to believe
have been written on this topic? Here that it is the result of a long series of cos-
are some examples: The Anthropic Cosmo- mic accidents. The elegant mathematical
logical Principle,1 Universes,2 The Accidental forms that are encoded in nature, the
Universe,3 The Cosmic Blueprint,4 Cosmic twenty-two universal constants with val-
Coincidences,5 The Anthropic Principle: Man ues within very narrow ranges of exactly
as the Focal Point of Nature,6 Universal Con- what they need to be,15 and the multitude
stants in Physics,7 The Goldilocks Enigma: of initial conditions that must be within
Why Is the University Just Right for Life?,8 a very narrow bandwidth, which they
Cosmic Jackpot: Why Our Universe Is Just are, would seem to suggest a universe
Right for Life,9 The Constants of Nature: The that has been carefully crafted for our
Numbers That Encode the Deepest Secrets of benefit.
the Universe,10 Why the Universe Is the Way
It Is,11 Just Six Numbers: The Deep Forces This article will specifically explore the
That Shape the Universe,12 and A Fine Tuned fine tuning of our universe, the math-
Universe: The Quest for God in Science and ematical forms that nature takes, the
Theology.13 universal constants, and the precise initial
conditions when the universe exploded
There is good reason for these discus- into existence in the “big bang.” Then
sions. Fine tuning describes one of the this article will explore whether fine tun-
great mysteries of the universe, and one ing provides significant warrant for belief
that may have significant metaphysi- in a creator God.
cal implications. Even atheists such as
Stephen Hawking note,
To understand the universe at the deep- Walter L. Bradley, PhD, is Professor Emeritus of Mechanical Engineering
est level, we need know not only how for both Texas A&M University (2000) and Baylor University (2012). An
ASA Fellow, he has spoken about “Fine Tuning” on 74 university campuses
the universe behaves but why. Why is
to more than 50,000 students and professors over the past thirty years. Each
there something rather than nothing?
lecture was followed by an open Q&A for an hour or more. He has deeply
Why do we exist? Why this particular
appreciated both that feedback and that of anonymous PSCF reviewers.
set of laws and not some other?14
essential to life without destroying the products 9. The amount of solvent must be carefully coupled
of these reactions. There must also be a means of to plate tectonics activity to provide the planet
transporting the energy from this star at the cen- with similar proportions of its surfaces as oceans
ter of the solar system to planets where chemical and land mass.
reactions between the chemical building blocks 10. The planet must have the right protection from
in solution require energy to enable the chemical the destructive forces in nature such as radiation
assembly of the building blocks into biopolymers. and asteroids over a reasonable period of time.
2. There must be a planet or moon in the solar 11. The planet must have just the right stabilized
system of the star in requirement “1” that is ter- axis tilt and angular velocity to give moderate,
restrial; in other words, solid rather than gaseous. regular, and predictable seasons and moderate
3. This universe must have sufficient chemical stabil- temperature fluctuations from day to night.
ity and elemental diversity to build the complex While one is tempted to think that these require-
molecules necessary for essential life functions: ments are easily met, given the large number of stars,
namely, processing energy, storing information,
it should be noted that there are few places in the
and replicating.
universe that are sufficiently free of sterilizing radia-
4. There must be chemical reactions that allow pre- tion to provide a suitable solar system. The number
dictable polymeric compounds like DNA, RNA, of candidate “neighborhoods” is further reduced
and proteins to form from various elements in by the requirement of a sun with the right amount
simpler compounds. of mass to give the right electromagnetic radiation
5. There must be a “universal connector,” an ele- spectrum. Furthermore, the occurrence of a suit-
ment that is essential to building the molecules of able satellite in conjunction with such a star is even
life. It must readily bond chemically with almost more problematic. Only Earth in our solar system of
all other elements, including itself, forming bonds sixty-two satellites meets the above requirement for
that are stable but not too stable so that disassem- a “home” (Earth) in a safe neighborhood such as that
bly is also possible. Only carbon in our naturally of our sun and solar system, which are well placed
occurring 92 elements satisfies this chemical char- in a quiet place in a suitable universe as described
acteristic. This is the reason why, when we look above.
for life on other planets, we begin by looking for
carbon-based compounds. It is difficult to imag- In the following sections, how these universal and
ine living systems without a carbon-like element. local needs (or design requirements) are met by the
specific mathematical forms encoded in nature, the
6. A “universal solvent” in which the chemical re-
exact values of the universal constants in the uni-
actions can take place is essential, since chemical
verse, and the remarkable “coincidence” that initial
reactions in solids are much too slow and complex
(or boundary) conditions are exactly what they must
life could not be sustained as a gas. This solvent
be, will be presented. The developmental path that
must readily dissolve both the reactants and the
our universe navigated is consistently remarkable,
reaction products essential to living systems: that
making the origin of this place for life all the more
is, a liquid with the properties of water, which is
wondrous and enigmatic. Unless all of these condi-
very nearly a universal solvent.
tions, and many more not included in this list, are
7. The temperature range on the terrestrial planet or met, the universe would not allow for the develop-
moon (see requirement 2) must maintain the uni- ment of complex, conscious life forms. Therefore, the
versal solvent as a liquid rather than as a solid or above requirements for our universe are necessary
as a gas for some portion of the year. conditions, but they are not by themselves sufficient
8. The right concentration of heavy (radioactive) for a habitat suitable for complex human life.
elements must be present in the planet (see
requirement 2) to heat the core of the planet Ward and Brownlee express their wonder in their
and provide the necessary energy to drive plate book, Rare Earth.
tectonics to build up land mass in what would If some god-like being could be given the
otherwise be a smooth round planet completely opportunity to plan a sequence of events with
covered with the solvent. the expressed goal of duplicating our “Garden of
Let us examine several examples that constrain the ity and electromagnetic forces and their associated
selection of the universal constants to a remarkable constants. Furthermore, the frequency distribu-
degree. Twentieth-century physicists have identified tion of the electromagnetic radiation produced by
four fundamental forces in nature. These may each the sun must be precisely tuned to the energies of
be expressed as dimensionless numbers to allow a the various chemical bonds on Earth. Excessively
comparison of their relative strength. These values energetic photons of radiation such as the ultravio-
vary by a factor of 1041 or 41 orders of magnitude. let radiation emitted from a blue giant star, destroy
Yet modest changes in the relative strengths of any chemical bonds and destabilize organic molecules.
of these forces and their associated constants would Insufficiently energetic photons, such as infrared and
produce dramatic changes in the universe, rendering longer wavelength radiation from a red dwarf star,
it unsuitable for life. Several examples to illustrate would result in chemical reactions that are either too
this fine-tuning of our universe are presented next. sluggish or would not occur at all. Most life on Earth
depends upon fine-tuned solar radiation, which
Balancing Electromagnetism and requires, in turn, a very precise balancing of the elec-
Gravitational Forces tromagnetic and gravitational forces.
The electromagnetic force is 1038 times stronger than
As previously noted, chemical bonding energy relies
the gravitational force. Gravity draws hydrogen
upon quantum mechanical calculations that include
into stars, creating a high-temperature plasma. The
the electromagnetic force, the mass of the electron,
protons in the plasma must overcome their elec-
the speed of light (c) and Planck’s constant (h).
tromagnetic repulsion to fuse. Thus, the relative
Matching the radiation from the sun to the chemi-
strength of the electromagnetic force to the gravita-
cal bonding energy in plants on earth requires that
tional force determines the rate at which stars “burn”
the magnitude of six constants be selected to satisfy
by fusion. If this ratio of strengths were altered to
the following inequality, with the caveat that the two
1032 instead of 1038 (i.e., if gravity were much stronger
sides of the inequality are of the same order of mag-
than it actually is), stars would be a billion times less
nitude, guaranteeing that the photons are sufficiently
massive and would burn a million times faster.30
energetic, but not too energetic.31
Electromagnetic radiation and the light spectrum (mp2 G)/(hc) ≥ [e2/{hc}]12[me/mp]4 (2)
also depend on the relative strengths of the grav-
Table 1. An abbreviated list of fundamental constants of physics and chemistry based on the
values provided by CODATA.
Quantity Symbol Numerical Values Unit
speed of light in vacuum c 299 792 458 m s-1
magnetic constant µ0 12.5664 x 10-7 NA-2
electric constant ε0 8.854 187 817 x 10 -12
F m-1
gravitational constant G 6.6738 x 10-11 m3kg-1s-2
Planck’s constant h 6.626070040 x 10 -34
Js
elementary charge e 1.6021766208 x 10 -19
C
magnetic flux quantum φ0 2.067833831 x 10-15 Wb
conductance quantum G0 7.7480917310 x 10 -5
S
electron mass me 9.10938356 x 10-31 kg
proton mass mp 1.672621898 x 10 -27
kg
fine-structure constant (e2/4πε0hc) α 7.2973525664 x 10-3
inverse fine-structure constant 1/α 137.035999139
Avagadro constant NA 6.022140857 x 1023 mol-1
Faraday constant NAe F 96485.33289 C/mol
molar gas constant R 8.3144598 J/mol-1 K-1
Boltzmann constant, R/NA k 1.38064852 x 10-23 JK-1
radiant radiant
energy energy
output biological
of sun utility
radiant absorption
energy by water
absorbed relative
by the units
atmosphere
(infrared) radiation are both highly absorbed, as seen to form helium, then helium fuses to produce beryl-
in figure 2. This allows solar energy in the form of lium, and so forth.35
light to reach the reacting chemicals in the universal
solvent, which is water. The Encyclopaedia Britannica Within the nucleus, an even more precise balanc-
observes in this regard, “Considering the importance ing of the strong force and the electromagnetic force
of visible sunlight for all aspects of terrestrial life, allows for a universe with an abundance of organic
one cannot help being awed by the dramatically nar- building blocks, including both carbon and oxygen.36
row window in the atmospheric absorption … and in Carbon serves as the universal connector for organic
the absorption spectrum of water.”33 life and is an optimal reactant with almost every
other element, forming bonds that are stable but not
It is remarkable that the optical properties of water too stable, allowing compounds to readily be formed
and of our atmosphere, the chemical bonding ener- and also to be disassembled. Oxygen is a component
gies of the chemicals of life, and the radiation from of water, the necessary universal solvent in which
our sun are all precisely harmonized to allow liv- life chemistry can occur. This explains why people
ing systems to utilize energy from the sun, without first look for signs of organic molecules (ones con-
which life could not exist. It is analogous to your car, taining carbon atoms) and signs that Mars once had
which can run using only gasoline as a fuel. Happily, water when they speculate about life on Mars.
but not accidentally, the service station has an ample
supply of exactly the right fuel for your automobile. Quantum physics examines the most minute energy
But someone had to drill for and produce the oil, exchanges at the deepest levels of the cosmic order.
someone had to refine it into liquid fuel (gasoline) Only certain energy levels are permitted within
that has been carefully optimized for your internal nuclei-like steps on a ladder. If the mass-energy
combustion engine, and others had to truck it to your for two colliding particles results in a combined
service station. The production and transportation of mass-energy that is equal to or slightly less than a
the right energy from the sun for metabolic motors of permissible energy level on the quantum “energy
plants and animals is much more remarkable. ladder,” then the two nuclei will readily stick
together or fuse on collision, with the energy differ-
Finally, without this unique window of light trans- ence needed to reach the step being supplied by the
mission through the atmosphere of Earth and combined kinetic energy of the colliding particles.
through water, made possible by the intricate frame- If this mass-energy level for combined particles is
work of “just right” universal constants, vision exactly right, then the collisions are said to have reso-
would be impossible and sight-communication nance, which is to say that there is a high efficiency
would cease, since living tissue and eyes are com- within the collisions. On the other hand, if the com-
posed mainly of water. bined mass-kinetic energy results are a value that is
slightly higher than one of the permissible energy
levels on the energy ladder, then the particles will
Nuclear Strong Force and simply bounce off each other rather than fusing (i.e.,
Electromagnetic Force sticking together).
The nuclear strong force is the strongest force within
nature, occurring at the subatomic level to bind pro- It is clear that the step sizes between quantum nuclear
tons and neutrons within atomic nuclei.34 Were we energy levels depends on the balance between the
to increase the ratio of the strong force to electro- strong force and the electromagnetic force, and these
magnetic force by only 3.4%, the result would be a steps must be tuned to the mass-energy levels of
universe with no hydrogen, no long-lived stars that various nuclei for resonance to occur and give an
burn hydrogen, and no water (a molecule composed efficient conversion by fusion of lighter elements into
of two hydrogen atoms and one oxygen atom), our carbon, oxygen, and heavier elements.
“universal solvent” for life. Likewise, a decrease of
only nine percent in the strong force relative to the Distinguished cosmologist George Ellis concluded
electromagnetic force would decimate the periodic his article in Scientific American as follows: “The laws
table of elements. Such a change would prevent of nature exhibit an incredibly unlikely degree of
deuterons from forming from the combination of fine tuning that is required to produce a life-friendly
protons and neutrons. Deuterons, in turn, combine universe.”37
the kinetic energy must be equal with a variation of 1996 book Climbing Mount Improbable, by comparing
no more than one part in 100,000. While these num- particular, designed artifacts with similar accidents
bers may change over time, all possible models of in nature.45 Dawkins illustrates the concept of design
the big bang will contain boundary conditions of a by comparing the example of Mount Rushmore upon
remarkably specific nature that cannot simply be which are carved the clearly recognizable images of
described as “fortuitous.” It is clear that the initial Presidents George Washington, Thomas Jefferson,
conditions for a “big bang beginning” for the uni- Abraham Lincoln, and Theodore Roosevelt (fig. 3)
verse are very demanding in their required precision. to a naturally occurring rock in Hawaii that casts a
shadow that resembles President John F. Kennedy
(fig. 4), illustrating the difference between an acci-
By Many Measures, Nature Appears dental occurrence and an artifact that was the result
to Be Finely Tuned of design and execution. Obviously, one could con-
There are literally hundreds of examples of fine tun- firm this interpretation by carefully examining the
ing that seem to be essential to enable the universe surfaces of both images. One would have marks from
to have the many features that are essential for com- chisels and dynamite utilized by the sculptor Gutzon
plex, conscious life. What remains to be explained is Borglum, while the other would have a surface that
how the universe just happens to have this remark- was the result of natural weathering since there was
able combination of particular laws of nature with no designer. The sheer number of details in which
(1) just the right mathematical form, (2) universal the Mount Rushmore sculptured faces resemble the
constants that must be and are remarkably precise, four presidents testifies to the presence of an intelli-
and (3) mind-boggling initial conditions that our uni- gent agent, a human sculptor. No one could seriously
verse satisfies with amazing specificity. attribute these magnificent faces to the “creative”
forces of wind, rain, sleet, and hail.
we see in our universe) was worrisome. This prob- Creator God, who can be seen through “the things
lem has never been resolved.” Since inflation theory that have been made, so that those who do not
requires new physical laws and new finely tuned believe are without excuse” (Rom. 1:20).
constants, it did not resolve the challenge of account-
ing for fine tuning. It only pushes fine tuning down
one level.
Notes
1
John D. Barrow and Frank J. Tipler, The Anthropic Cos-
mological Principle (New York: Oxford University Press,
What about the “God-of-the-Gaps” 1988).
Problem? John Leslie, Universes (New York: Routledge, 1989).
2
3
Paul Davies, The Accidental Universe (Cambridge, UK:
It is difficult to do justice to this extremely impor- Cambridge University Press, 1982).
tant question in the limited remaining space for this 4
Paul Davies, The Cosmic Blueprint (Portsmouth, NH:
essay. Fortunately, this topic has been thoughtfully Heinemann, 1988).
5
John Gribbin and Martin Rees, Cosmic Coincidences (New
addressed in articles in this journal, Perspectives on York: Bantam Books, 1989).
Science and Christian Faith. Randy Isaac highlights 6
Reinhard Breuer, The Anthropic Principle: Man as the Focal
his reasons for avoiding fine-tuning arguments Point of Nature, trans. Harry Newman and Mark Lowery
as his primary support of biblical theism, but sees (Cambridge, MA: Birkhäuser Boston, 1991).
7
Gilles Cohen-Tannoudji, Universal Constants in Physics,
fine tuning as consistent with and reinforcing his trans. Patricia Thickstun (New York: McGraw-Hill, 1993).
faith commitment to biblical theism.53 Ron Larson, 8
Paul Davies, The Goldilocks Enigma: Why Is the Universe Just
Jack Collins, and David Snoke argue in different Right for Life? (New York: Penguin Books, 2006).
9
Paul Davies, Cosmic Jackpot: Why Our Universe Is Just Right
ways that we should be mindful of the God-of-the-
for Life (Boston, MA: Houghton Mifflin, 2007).
gaps mistakes that can and have been made in the 10
John D. Barrow, The Constants of Nature: The Numbers That
past so as not to repeat them. They offer clear direc- Encode the Deepest Secrets of the Universe (New York: Vin-
tions on ways that this can be done.54 I would add tage Books, 2002).
11
Hugh Ross, Why the Universe Is the Way It Is (Grand Rap-
one additional approach that I have used in this ids, MI: Baker Books, 2008).
article. If one frames the discussion of God’s work 12
Martin Rees, Just Six Numbers: The Deep Forces That Shape
in nature more carefully, the God-of-the-gaps con- the Universe (New York: Basic Books, 2000).
cern can be minimized. God’s work in nature in his
13
Alister E. McGrath, A Fine Tuned Universe: The Quest for
God in Science and Theology (Louisville, KY: John Knox
customary patterned way (what we call the laws of Press, 2009).
nature), should be distinguished from God working 14
Stephen Hawking and Leonard Mlodinow, The Grand
in some extraordinary way, which may be viewed as Design (New York: Bantam Books, 2010), 9–10.
15
Peter J. Mohr, David B. Newell, Barry N. Taylor,
a miracle. “CODATA Recommended Values of the Fundamental
Physical Constants: 2014,” Reviews of Modern Physics 88,
Features in nature such as fine tuning can tentatively no. 3 (26 September 2016): 035009, https://link.aps.org
be assumed to be the consequence of God working /doi/10.1103/RevModPhys.88.035009.
16
Peter D. Ward and Donald Brownlee, Rare Earth: Why
in an extraordinary way. However, the discovery of
Complex Life Is Uncommon in the Universe (New York:
the Grand Theory of Everything would not change Copernicus Books, 2000).
my belief in God, but only my view of how God cre- 17
Ibid., 37.
ated and operates creation. It changes the question,
18
George F. R. Ellis, “Does the Multiverse Really Exist?,”
Scientific American 305, no. 2 (August 2011): 38–43.
“Did God do it or did nature do it autonomously?” 19
Richard Dawkins, Climbing Mount Improbable (New York:
to an a priori assumption that God did it, with the Norton, 1996), 2–4.
remaining question, “How did God do it—in his cus- 20
Ibid.
tomary way (sometimes called the laws of nature),
21
Johannes Kepler, De Fundamentis Astrologiae Certioribus,
Thesis XX (1601).
or in some extraordinary way (sometimes called a 22
Galileo Galilei; this comment is widely attributed to Gali-
miracle)?” leo, but without reference.
23
Morris Kline, Mathematics: The Loss of Certainty (New
York: Oxford University Press, 1980).
Conclusion 24
Ibid., 52.
Does our universe look more like Mt. Rushmore
25
Eugene Wigner, “The Unreasonable Effectiveness of
Mathematics in the Physical Sciences,” Communications on
(fig. 3) or the rock in Hawaii (fig. 4)? The “nature of Pure and Applied Mathematics 13, no. 1 (1960): 1–14.
nature,” especially fine tuning, provides clear and 26
Albert Einstein, Letters to Solovine (New York: Philosophi-
compelling evidence for our all-powerful, loving cal Library, 1987), 131.
15. and Christian Faith 63, no. 1 (2011): 42–47; Jack Collins,
41
Barrow and Tipler, The Anthropic Cosmological Principle, “Miracles, Intelligent Design, and God-of-the-Gaps,”
371. Perspectives on Science and Christian Faith 55, no. 1 (2003):
42
Breuer, The Anthropic Principle, 102. 22–29; David Snoke, “In Favor of God-of-the-Gaps Rea-
43
John Wheeler, quoted in John Boslough, “Inside the Mind soning,” Perspectives on Science and Christian Faith 53, no. 3
of John Wheeler,” Reader’s Digest (September 1986): 107. (2001): 152–58.
44
William Lane Craig, “Design and the Anthropic Fine-
Tuning of the Universe,” in God and Design, ed. Neil A.
ASA Members: Submit comments and questions on this article
Manson (New York: Routledge, 2003), 157.
at www.asa3.org→RESOURCES→Forums→PSCF Discussion.
45
Dawkins, Climbing Mount Improbable, 5.
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