01The data
The cosmological constant is measured near 10^-122 in Planck units where theory predicts order 1 — a 120-order-of-magnitude gap that is life-permitting only in a razor-thin band.
Cosmological
Fine-Tuning of the Universe
Roger Penrose calculated that the initial low-entropy state of the universe occupies one part in 10^(10^123) of the available phase space, and the cosmological constant sits some 120 orders of magnitude below the value quantum field theory naively predicts.
high confidenceScientific
THE CLAIM
Roger Penrose calculated that the initial low-entropy state of the universe occupies one part in 10^ of the available phase space
- 1The cosmological constant is measured near 10^-122The data
- 2Penrose put the oddsThe numbers
- 3Hoyle predicted the carbon-12 resonanceThe record
- 4Fine-tuning is documented in the peer-reviewed literatureThe data
- 5The argument is chronology-neutralThe data
- 6The multiverse alternative purchases an explanationThe record
WHERE IT STANDS
Firmly established
high confidence
The span, dated
1953
Hoyle predicts a carbon resonance
Fred Hoyle reasoned that stars could not make the observed carbon unless the carbon-12 nucleus had an unknown excited state near 7.6 MeV, and asked Willy Fowler's laboratory to look for it.
1953
Whaling finds it at 7.65 MeV
Ward Whaling, at Caltech's Kellogg Radiation Laboratory, located the state within months. Without that resonance the triple-alpha process stalls and the universe has no carbon.
1981
Hoyle's verdict, in print
In Engineering and Science (Caltech, November 1981) Hoyle — an atheist who had spent his career resisting a cosmic beginning — wrote that a common-sense interpretation of the facts suggests a superintellect has monkeyed with physics.
1989
Penrose computes the initial state
In The Emperor's New Mind (Oxford, 1989) Penrose derived the phase-space volume of possible initial states from black-hole entropy: one part in 10^(10^123).
2012
The rigorous inventory
Luke Barnes, "The Fine-Tuning of the Universe for Intelligent Life," Publications of the Astronomical Society of Australia 29(4):529-564 — the standard catalogue of the constants and their windows.
What fine-tuning means
The laws of physics contain free parameters — numbers the theory does not fix and that must be measured. Fine-tuning is the observation that many of these numbers sit inside extraordinarily narrow windows, outside which no chemistry, no stars and no observers are possible.
This is not a fringe claim. It is a standard topic in cosmology, and the rigorous inventory is Luke Barnes's review, "The Fine-Tuning of the Universe for Intelligent Life," Publications of the Astronomical Society of Australia 29(4):529-564 (2012).
The specific numbers
The cosmological constant. The energy density of empty space is measured at roughly 10^-122 in Planck units. Straightforward quantum field theory estimates put it near 1 — a mismatch of some 120 orders of magnitude, routinely called the worst prediction in physics.
Slightly larger and the universe flies apart before galaxies form; slightly negative and it recollapses.
Initial entropy. In The Emperor's New Mind (Oxford, 1989) Roger Penrose derived the phase-space volume of possible initial states from black-hole entropy and put the life-permitting region at one part in 10^(10^123). That exponent is larger than the number of particles in the universe; the number cannot be written out in ordinary notation because there is not enough matter to write it on.
The carbon resonance. In 1953 Fred Hoyle reasoned that stars could not make the observed carbon unless the carbon-12 nucleus had an unknown excited state near 7.6 MeV. He asked Willy Fowler's Kellogg Radiation Laboratory at Caltech to look; Ward Whaling found it at 7.65 MeV within months.
Without that resonance the triple-alpha process stalls and the universe has no carbon.
Force ratios. Electromagnetism exceeds gravity between two protons by roughly 10^36. The neutron is heavier than the proton by 1.293 MeV — about 0.14% of a nucleon mass.
Shift that difference and either free protons decay or stars cannot burn.
The most famous reaction
Hoyle was an atheist who spent his career resisting a cosmic beginning. After the carbon resonance was confirmed he wrote in Engineering and Science (Caltech, November 1981) that a common-sense interpretation of the facts suggests a superintellect has monkeyed with physics, as well as with chemistry and biology.
Why it bears on scripture
Romans 1:20 claims that God's power and divine nature are perceptible in what has been made. Fine-tuning is that claim in the language of measurement: the settings of the universe are legible, and they read as settings.
Notice also what fine-tuning does not depend on. The constants are the same whatever chronology one holds. An argument from the value of the cosmological constant carries no commitment about the age of the earth.
THE ANSWER
The three live answers
Design. The values were chosen. This is the position of Robin Collins, whose teleological-argument chapter in The Blackwell Companion to Natural Theology (2009) is the standard technical defence.
Multiverse. There are enormously many universes with varying constants, and observers necessarily find themselves in a hospitable one. String theory's landscape of possible vacua — often quoted at around 10^500 — is the usual mechanism.
The cost is that the multiverse is unobservable in principle and generates its own problems, including the Boltzmann-brain result that randomly fluctuated observers should vastly outnumber evolved ones.
Necessity. A future unified theory will show the constants could not have been otherwise. No such theory exists, and the landscape result pushes in the opposite direction.
WHERE IT STANDS
The state of the debate
high confidence
Victor Stenger's The Fallacy of Fine-Tuning (Prometheus, 2011) is the best-known scientific rebuttal, arguing that varying parameters jointly rather than one at a time widens the life-permitting region; Barnes's arXiv reply (1112.4647) is the detailed response and is generally regarded as having the better of the physics. The philosophical objection with real teeth is the normalisability problem raised by Timothy McGrew, Lydia McGrew and Eric Vestrup in Mind 110 (2001): without a defensible probability measure over an infinite parameter space, the odds cannot be computed.
Scripture on this
Psalm 19:1 — The heavens declare — the claim that creation carries legible information about its Maker.
Romans 1:20 — God's eternal power and divine nature perceived through the things that are made.
Isaiah 40:26 — Not one of the host of heaven is missing — order maintained by power.
Jeremiah 33:25 — God speaks of the fixed ordinances of heaven and earth — settings He appointed.
Job 38:4-7 — God's answer to Job begins with the laying of the earth's measurements.
Colossians 1:17 — In Him all things hold together — the constants are held, not merely set.
THE NUMBERS
What the number means
1010127
This bar stops at 120 because that is the largest fine-tuning figure that can be drawn. The initial-entropy figure cannot be. Roger Penrose derived the life-permitting share of possible initial states as one part in 10^(10^123) — an exponent with 123 digits — and noted that the number cannot be written out in ordinary notation, because there is not enough matter in the universe to write it on. It exceeds this instrument and every instrument.
- 1036 — how far electromagnetism exceeds gravity between two protons
- 1080 — atoms in the observable universe
6 pieces of evidence
What this establishes
- 02The numbers
Penrose put the odds of the universe's initial low-entropy state at one part in 10^(10^123), a number too large to write out in the observable universe.
- 03The record
Hoyle predicted the carbon-12 resonance from the requirement that stars make carbon; Whaling found it at 7.65 MeV at Caltech in 1953 — a successful prediction from anthropic reasoning.
- 04The data
Fine-tuning is documented in the peer-reviewed literature, not just apologetics: Barnes, PASA 29(4):529-564 (2012).
- 05The data
The argument is chronology-neutral — the constants have the same values on any view of the age of the universe.
- 06The record
The multiverse alternative purchases an explanation at the price of an unobservable infinity of universes, and inherits the Boltzmann-brain problem.
6 passages
Key verses
Berean Standard Bible
“The heavens declare the glory of God; the skies proclaim the work of His hands.”
Psalm 19:1
“For since the creation of the world God’s invisible qualities, His eternal power and divine nature, have been clearly seen, being understood from His workmanship, so that men are without excuse.”
Romans 1:20
“Lift up your eyes on high: Who created all these? He leads forth the starry host by number; He calls each one by name. Because of His great power and mighty strength, not one of them is missing.”
Isaiah 40:26
“This is what the LORD says: If I have not established My covenant with the day and the night and the fixed order of heaven and earth,”
Jeremiah 33:25
“Where were you when I laid the foundations of the earth? Tell Me, if you have understanding.”
Job 38:4-7
“He is before all things, and in Him all things hold together.”
Colossians 1:17
THE RECEIPTS
Sources
- Luke A. Barnes, PASA 29(4):529-564 (2012)
- Roger Penrose, The Emperor's New Mind (1989)
- Fred Hoyle, Engineering and Science 45:8-12 (1981)
- Robin Collins, The Blackwell Companion to Natural Theology (2009)
- John D. Barrow & Frank J. Tipler, The Anthropic Cosmological Principle (1986)
- Timothy McGrew, Lydia McGrew & Eric Vestrup, Mind 110:1027-1038 (2001)
- Victor J. Stenger, The Fallacy of Fine-Tuning (2011)
◈Contested pointscontested
- Probability requires a measure. Over an unbounded space of possible constants there is no non-arbitrary way to say a value is 'unlikely' — the normalisability objection of McGrew, McGrew and Vestrup (Mind 110, 2001) has never been fully answered.
- Observer selection is not a trick. We could not find ourselves in a universe that forbids observers, so the observation carries no surprise once a large ensemble exists — and the string landscape supplies an ensemble that mainstream physics arrived at for independent reasons.
- Many popular fine-tuning claims vary one parameter while holding the rest fixed. Stenger's simulations varying several jointly find life-permitting regions far larger than single-parameter analyses suggest.
- A designer is not the only source of necessity. Physics has repeatedly turned free parameters into derived ones; the fine-tuning list may shrink the way the list of 'irreducible' chemical elements did.