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Are the Fundamental Constants Changing?

PBS Space Time·
6 min read

Based on PBS Space Time's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

Dimensionless constants like the fine-structure constant (α) are the most reliable targets for variation tests because they are not tied to arbitrary unit definitions.

Briefing

The hunt for changing “constants of nature” is shifting from philosophy to measurement, with the fine-structure constant (α) emerging as the most testable candidate. Unlike quantities such as the speed of light or Newton’s gravitational constant—whose values depend on human-defined units—α is dimensionless, meaning it can be compared across time and place without getting tangled in measurement conventions. That makes it a prime target for checking whether the laws of physics are truly fixed or subtly evolving.

α controls the strength of the electromagnetic interaction. In quantum terms, it acts like a coupling strength between the electromagnetic field and charged particles such as electrons. Because α sets the fine details of atomic structure, even tiny shifts would slightly alter the splitting patterns in atomic spectral lines—especially the “fine structure” that comes from spin–orbit coupling. When electrons in atoms occupy different energy configurations, their transitions produce spectral lines whose wavelengths split by amounts that depend strongly on α. Detecting a change in α therefore becomes, in practice, a matter of tracking how those splittings look in light that has traveled across the universe.

Quasars provide the long baseline. Their intense radiation passes through intervening gas clouds, where atoms absorb specific wavelengths and imprint absorption lines. By comparing many quasars at different distances—hence different epochs—researchers can infer whether α was slightly different in the past. A widely cited study used the Keck telescope in Hawaii to analyze iron and magnesium absorption lines from clouds along the sightlines of 143 quasars. The reported result: α appeared smaller in the past by about one part in 100,000, with a claimed five-sigma statistical significance.

But the story has not settled. Follow-up observations with the Very Large Telescope in Chile pointed to the opposite trend in a different region of the sky, suggesting both time variation and spatial variation. That spatial claim was reported at four-sigma—still not definitive. Other reanalyses of the same general approach have reduced the significance to roughly two to three sigma, which is consistent with no change once uncertainties and systematics are fully accounted for.

The difficulty is formidable. Light from billions of light-years away is heavily redshifted by cosmic expansion, and the redshift correction must be extremely precise. Small calibration issues, modeling choices, or other systematic effects can mimic the spectral distortions that would otherwise be interpreted as a shift in α. For that reason, the field leans heavily on independent teams reproducing results with improved data and methods.

Beyond quasar spectroscopy, researchers are pursuing complementary tests. One involves the Oklo Natural Nuclear Reactor in Gabon, where a natural uranium fission event about two billion years ago left behind decay products that can be used to constrain α at that time. Another track is instrumentation: developing ultra-precise atomic clocks capable of monitoring α in real time. The motivation is not just curiosity. Many grand unified theories that attempt to connect forces predict that α could vary, and any confirmed change would help constrain those models. It also bears on the fine-tuning problem—certain astrophysical and chemical pathways appear highly sensitive to α, and if constants vary across space, observers might naturally find themselves in regions where stars and complex chemistry can develop.

For now, the evidence remains tantalizing rather than settled. The next generation of larger surveys, refined cosmological modeling, and better atomic clocks aims to shrink error bars until the question—whether the universe’s “constants” are truly constant—can be answered with confidence.

Cornell Notes

The fine-structure constant (α) is a leading candidate for testing whether fundamental “constants” vary. Because α is dimensionless, it avoids the unit-definition problems that complicate claims about constants with units (like the speed of light). α affects the fine splitting of atomic spectral lines through spin–orbit coupling, so changes in α would shift the detailed wavelengths of absorption features. Quasar light offers a long time baseline: absorption spectra from clouds along the sightlines of distant quasars can be used to infer α across cosmic time. Reported results from Keck and the Very Large Telescope suggest possible variation, but later reanalyses reduce the statistical significance, leaving the case unresolved. Independent probes like the Oklo natural reactor and next-generation atomic clocks aim to clarify the picture.

Why is the fine-structure constant (α) considered more meaningful to test than constants like the speed of light?

α is dimensionless, so its value does not depend on arbitrary unit choices. By contrast, quantities with units (for example, the speed of light or Newton’s gravitational constant) are entangled with how meters, seconds, and other measurement standards are defined. If a unit definition itself depends on the constant being tested, it becomes hard to interpret an observed “change” as a real physical variation rather than a measurement artifact. α avoids that trap because it is a pure number describing electromagnetic coupling strength.

How does α connect to what astronomers actually measure in quasar spectra?

α controls the fine structure of atomic energy levels. Electron spin and orbital motion interact via spin–orbit coupling, producing two stable configurations with slightly different energies. When electrons transition between orbitals, the emitted or absorbed photon energies—and thus the wavelengths of spectral lines—show a characteristic splitting. That splitting magnitude depends strongly on α, so measuring the fine-grained pattern in absorption lines can reveal whether α differed in the past.

What did the Keck-based quasar study report, and why is it controversial?

Using the Keck telescope in Hawaii, researchers analyzed iron and magnesium absorption lines from clouds along the sightlines of 143 quasars. They reported that α was smaller in the past by about one part in 100,000, with a claimed five-sigma significance. The controversy stems from later findings and reanalyses: another team using the Very Large Telescope in Chile reported the opposite trend in a different sky region, and subsequent reanalyses reduced the significance to roughly two to three sigma, which can be consistent with no real change once systematics are handled.

What makes quasar-based measurements of α so hard?

Quasar light is extremely redshifted due to the universe’s expansion, so the observed wavelengths must be corrected with extreme care. Small errors in redshift determination, instrument calibration, or modeling of the absorbing gas can produce spectral distortions that resemble the wavelength shifts expected from a different α. Because these systematics can masquerade as a signal, results need independent confirmation and improved analysis.

How do the Oklo and atomic-clock approaches complement quasar spectroscopy?

Oklo is a natural laboratory: a uranium deposit in Gabon underwent a natural fission event about two billion years ago, and scientists analyze remaining decay products to constrain what α was then. Atomic clocks aim to detect changes directly in real time by monitoring α with unprecedented precision. Together, they test α at different timescales and with different systematics than distant-quasar spectroscopy.

Review Questions

  1. What distinguishes a dimensionless constant like α from a constant with units when it comes to interpreting possible variation?
  2. Describe the physical chain from α → atomic fine-structure splitting → measurable changes in quasar absorption spectra.
  3. Why do statistical claims like “five-sigma” not automatically settle the question of whether α varies?

Key Points

  1. 1

    Dimensionless constants like the fine-structure constant (α) are the most reliable targets for variation tests because they are not tied to arbitrary unit definitions.

  2. 2

    α governs electromagnetic coupling strength and strongly influences the fine splitting of atomic energy levels via spin–orbit coupling.

  3. 3

    Fine-structure splitting in spectral lines provides a measurable pathway to infer changes in α from absorption spectra.

  4. 4

    Quasar spectroscopy offers a long baseline for testing α across cosmic time, but heavy redshift and other systematics make the measurements extremely challenging.

  5. 5

    Reported evidence for α variation includes a Keck-based five-sigma claim and a Very Large Telescope result suggesting opposite spatial behavior, but later reanalyses reduce significance to about two to three sigma.

  6. 6

    Independent constraints come from the Oklo Natural Nuclear Reactor in Gabon and from ongoing development of ultra-precise atomic clocks.

  7. 7

    Any confirmed variation in α would constrain grand unified theories and could relate to the fine-tuning of conditions needed for stars, chemistry, and life.

Highlights

α is dimensionless, sidestepping the unit-definition problem that can undermine claims about constants with units changing.
Fine-structure splitting in atomic spectra—set by spin–orbit coupling—provides the observational handle for detecting shifts in α.
Keck observations of 143 quasars reported α was smaller in the past at about one part in 100,000, but later work and reanalyses weaken the statistical case.
Oklo in Gabon and next-generation atomic clocks offer independent routes to test α without relying solely on distant-quasar spectra.

Topics

  • Fine-Structure Constant
  • Quasar Spectroscopy
  • Grand Unified Theories
  • Atomic Clocks
  • Oklo Natural Nuclear Reactor