How fast is the universe expanding? How much does matter clump up in our cosmic neighborhood? Different methods of answering these two questions—either by observing the early cosmos and extrapolating to present times, or by making direct observations of the nearby universe—are yielding consistently different answers. The simplest explanation for these discrepancies is merely that our measurements are somehow erroneous, but researchers are increasingly entertaining another, more breathtaking possibility: These twin tensions—between expectation and observation, between the early and late universe—may reflect some deep flaw in the standard model of cosmology, which encapsulates our knowledge and assumptions about the universe. Finding and fixing that flaw, then, could profoundly transform our understanding of the cosmos.
One way or another, an answer seems certain to emerge from the fog over the coming decade, as eager astronomers gear up for a host of new space and terrestrial telescopes to gain clearer cosmic views. “Pursuing these tensions is a great way to learn about the universe,” says astrophysicist and Nobel laureate Adam Riess of Johns Hopkins University. “They give us the ability to focus our experiments on very specific tests, rather than just making it a general fishing expedition.”
These new telescopes, Riess anticipates, are about to usher in the third generation of precision cosmology. The first generation came of age in the late 1990s and early 2000s with the Hubble Space Telescope (HST) and with NASA’s WMAP satellite that sharpened our measurements of the universe’s oldest light, the cosmic microwave background (CMB). It was also shaped by a number of eight-meter-class telescopes in Chile and the twin 10-meter Keck behemoths in Hawaii. Collectively, these observatories helped cosmologists formulate the standard model of cosmology, which is a cocktail of 5 percent ordinary matter, 27 percent dark matter and 68 percent dark energy that can with uncanny accuracy account for most of what we observe about galaxies, galaxy clusters and other large-scale structures and their evolution over cosmic time. Ironically, by its very success, the model highlights what we do not know: the exact nature of 95 percent of the universe.
Driven by even more precise measurements of the CMB from ESA’s Planck satellite and various ground-based telescopes, the second generation of precision cosmology supported the standard model, but also brought to light the tensions. The focus shifted to reducing so-called systematics: repeatable errors that creep in because of faults in the design of experiments or equipment.
The third generation has been waiting in the wings for years and is only now starting to take center stage with the successful launch and deep-space deployment of Hubble’s successor, the James Webb Space Telescope (JWST). On Earth, CMB measurements are poised to reach new Planck-surpassing levels of precision via radio telescope arrays such as the Simons Observatory in the Atacama Desert and the nascent CMB-S4, a future assemblage of 21 dishes and a half million cryogenically cooled detectors that will be divided between sites in the Atacama and at the South Pole.
But the jewels in the third generation’s crown will be telescopes that stare at wide swathes of the sky. The first of these is likely to be ESA’s 1.2-meter Euclid space telescope, due for launch in 2023 to study the shapes and distributions of billions of galaxies with a gaze that spans about a third of the sky. Euclid’s studies will dovetail with those of NASA’s Nancy Grace Roman Space Telescope, a 2.4-meter telescope with a field of view about 100 times bigger than Hubble’s that is slated for launch in 2025. Finally, when it begins operations in the mid-2020s, the ground-based Vera C. Rubin Observatory will map the entire overhead sky every few nights with its 8.4-meter mirror and a three-billion-pixel camera, the largest ever built for astronomy.
“We’re not going to be limited by noise and by systematics, because these are independent observatories,” says astrophysicist Priyamvada Natarajan of Yale University. “Even if we have a systematic in our framework, we should [be able to] figure it out.”
Scaling the Distance Ladder
Riess, for one, would like to see a resolution of the Hubble tension, which arises from differing estimates of the value of the Hubble constant, H0, the rate at which the universe is expanding. Riess leads the Supernovae, H0, for the Equation of State of Dark Energy (SH0ES)project to measure H0. The SH0ES process starts with astronomers climbing onto the first rung of the so-called cosmic distance ladder, a hierarchy of methods to gauge ever-greater celestial expanses. The first rung—that is, the one concerning the nearest cosmic objects—relies on geometric parallax to determine the distance to special stars called Cepheid variables, which pulsate in proportion to their intrinsic luminosity. Pegging the distance to a Cepheid via parallax allows astronomers to calibrate the relationship between its brightness and variability, making it a workhorse “standard candle” for estimating greater cosmic distances. This forms the basis of the second rung, which uses telescopes like the HST to find Cepheids in more remote galaxies, measure their variability to determine their distance and then use that distance to calibrate another, more powerful set of standard candles called type Ia (pronounced “one-A”) supernovae, or SNe Ia, in those very same galaxies. Ascending further, astronomers locate SNe Ia in even more far-flung galaxies, using them to establish a relationship between distance and a galaxy’s redshift, a measure of how fast it is moving away from us. The end result is an estimate of H0.
Others, besides SH0ES, have also been on the case, including the Pantheon+ team, which has compiled a large dataset of type Ia supernovae.
In December, Riess says, “after a couple of years of taking a deep dive on the subject,” the SH0ES team and the Pantheon+ team announced the results of nearly 70 different analyses of their combined data. The data included observations of Cepheid variables in 37 host galaxies that contained 42 type Ia supernovae, more than double the number of supernovae studied by SH0ES in 2016. Riess and his co-authors suspect this latest study represents the HST’s last stand, the outer limits of that hallowed telescope’s ability to help them climb higher up the cosmic scale. The set of supernovae now includes “all suitable SNe Ia (of which we are aware) observed between 1980 and 2021” in the nearby universe. In their analysis, H0 comes out to be 73.04 ± 1.04 kilometers per second per megaparsec.
That is way off the value obtained by an entirely different method that looks at the other end of cosmic history—the so-called epoch of recombination when the universe became transparent to light, about 380,000 years after the big bang. The light from this epoch, now stretched to microwave wavelengths because of the universe’s subsequent expansion, is detectable as the all-pervading cosmic microwave background. Tiny fluctuations in temperature and polarization of the CMB capture an all-important signal: the distance a sound wave travels from almost the beginning of the universe to the epoch of recombination. This length is a useful metric for precision cosmology and can be used to estimate the value of H0 by extrapolating to the present-day universe using the standard LCDM model (where L stands for lambda or dark energy, and CDM for cold dark matter; cold refers to the assumption that dark matter particles are relatively slow-moving). Published a year ago, the latest analysis combined data from the Planck satellite and two ground-based instruments, the Atacama Cosmology Telescope (ACT) and the South Pole Telescope (SPT), to arrive at an H0 of 67.49 ± 0.53.
The discrepancy between the two estimates has a statistical significance of five sigma, meaning there is only about a one-in-a-million chance of it being a statistical fluke. “It’s certainly at the level that people should take seriously—and they have,” Riess says.
How Clumpy Is the Cosmos?
The other tension that researchers are starting to take seriously concerns a cosmic parameter called S8, which depends on the density of matter in the universe and the extent to which it is clumped up rather than evenly distributed. Estimates of S8 also involve, on one end, measurements of the CMB, with measurements of the local universe on the other. The CMB-derived value of S8 in the early universe, extrapolated using LCDM, generates a present-day value of about 0.834.
The local universe measurements of S8 involve a host of different methods. Among the most stringent of these are so-called weak gravitational lensing observations, which measure how the average shape of millions of galaxies across large patches of the sky is distorted by the gravitational influence of intervening concentrations of dark and normal matter. Astronomers used the latest data from the Kilo-Degree Survey (KiDS), which more than doubled its sky coverage from 350 to 777 square degrees of the sky (the full moon, by comparison, spans a mere half a degree), and estimated S8 to be about 0.759. The tension between the early- and late-universe estimates of S8 has grown from being at 2.5 sigma in 2019 to three sigma now (or, a one-in-740 chance of being a fluke). “This tension isn’t going away,” says astronomer Hendrik Hildebrandt of the Ruhr University Bochum in Germany. “It has hardened.”
There is yet another way to arrive at the value of S8: by counting the number of the most massive galaxy clusters in some volume of space. Astronomers can either do that directly (for example, by using gravitational lensing), or by studying the imprint of these clusters in the cosmic microwave background, thanks to something called the Sunyaev-Zeldovich effect (which causes CMB photons to scatter off the hot electrons in clusters of galaxies, creating shadows in the CMB that are proportional to the mass of the cluster). A detailed 2019 study using data from the South Pole Telescope estimated S8 to be 0.749—again, way off from the CMB+LCDM–based estimates. These numbers could be reconciled if the estimates of the masses of these clusters were wrong by about 40–50 percent, Natarajan says. However, she thinks such substantial revisions are unlikely. “We are not that badly off in the measurement game,” she says. “So that’s another kind of internal inconsistency, another anomaly pointing to something else.”
Breaking the Tensions
Given these tensions, it is no surprise cosmologists are anxiously awaiting fresh data from the new generation of observatories. For instance, David Spergel of Princeton University is eager for astronomers to use the JWST to study the brightest of the so-called red-giant-branch stars. These stars have a well-known luminosity and can be used as standard candles to measure galactic distances—an independent rung on the cosmic ladder, if you will. In 2019, Wendy Freedman of the University of Chicago and colleagues used this technique to estimate H0, finding that their value sits smack in the middle of the early- and late-universe estimates. “The error bars on the current tip of the red-giant-branch data are such that they’re consistent with both possibilities,” Spergel says. Astronomers are also planning to use JWST to recalibrate the Cepheids surveyed by Hubble, and separately the telescope will help create another new rung for the distance ladder by targeting Mira stars (which, like Cepheids, have a luminosity-periodicity relation useful for cosmic cartography).
Whereas JWST might resolve or strengthen the H0 tension, the wide-field survey data from the Euclid, Roman and Rubin observatories could do the same for the S8 tension by studying the clustering and clumping of matter. The sheer amount of data expected from this trio of telescopes will reduce S8 error bars enormously. “The statistics are going to go through the roof,” Natarajan says.
Meanwhile, theoreticians are already having a field day with the twin tensions. “This is a playground for theorists,” Riess says. “You throw in some actual observed tensions, and they are having more fun than we are.”
The most recent theoretical idea to garner a great deal of interest is something called early dark energy (EDE). In the canonical LCDM model, dark energy only started dominating the universe relatively late in cosmic history, about five billion years ago. But, Spergel says, “we don’t know why dark energy is the dominant component of the universe today; since we don’t know why it’s important today, it could have also been important early on.” That is partly the rationale for invoking dark energy’s effects much earlier, before the epoch of recombination. Even if dark energy was just 10 percent of the universe’s energy budget during those times, that would be enough to accelerate the early phases of cosmic expansion, causing recombination to occur sooner and shrinking the distance traversed by primordial sound waves. The net effect would be to ease the H0 tension.
“What I find most interesting about these models is that they can be wrong,” Spergel says. Cosmologists’ EDE models make predictions about the resulting EDE-modulated patterns in the photons of the CMB. In February 2022, Silvia Galli, a member of the Planck collaboration at Sorbonne University in Paris, and colleagues published an analysis of observations from Planck and ground-based CMB telescopes, suggesting that they collectively favor EDE over LCDM, by a statistical smidgen. Confirming or refuting this rather tentative result, however, will require more and better data—which could come soon from upcoming observations by same ground-based CMB telescopes. But even if EDE models prove to be better fits and fix the H0 tension, they do little to alleviate the tension from S8.
Potential fixes for S8 exhibit a similarly vexing lack of overlap with H0. In March, Guillermo Franco Abellán of the University of Montepellier in France and colleagues published a study in Physical Review D showing that the S8 tension could be eased by the hypothetical decay of cold dark matter particles (into one massive particle and one “warm” massless particle). This mechanism would lower the value of S8 arising from CMB-based extrapolations, bringing it more in line with the late universe measurements. Unfortunately, it does little to solve the H0 tension.
“It seems like a robust pattern: whatever model you come up with that solves the H0 tension makes the S8 tension worse, and the other way around,” Hildebrandt says. “There are a few models that at least don’t make the other tension worse, but also don’t improve it a lot.”
“We Are Missing Something”
Once fresh data arrive, Spergel foresees a few possible scenarios unfolding. First, the new CMB data could turn out to be consistent with early dark energy, resolving the H0 tension, and the upcoming survey telescope observations could separately ease the S8 tension. That would be a win for early dark energy models—and would constitute a major shift in our understanding of the opening chapters of cosmic history.
Or, it is possible that both H0 and S8 tensions resolve in favor of LCDM. This would be a win for the standard model, and a possibly bittersweet victory for cosmologists hoping for paradigm-shifting breakthroughs rather than “business as usual.”
“Outcome three would be both tensions become increasingly significant as the data improves—and early dark energy isn’t the answer,” Spergel says. Then, LCDM would presumably have to be reworked differently, but absent further specifics the impact of such an outcome is difficult to foresee.
Natarajan thinks that the tensions and discrepancies are probably telling us that LCDM is merely an “effective theory,” a technical term meaning that it accurately explains a certain subset of the current compendium of cosmic observations. “Perhaps what’s really happening is that there is an underlying, more complex theory,” she says. “And that LCDM is this [effective] theory, which seems to have most of the key ingredients. For the level of observational probes that we had previously, that effective theory was sufficient.” But times change, and the data deluge from precision cosmology’s third generation of powerful observatories may demand more creative and elaborate theories.
Theorists, of course, are more than happy to oblige. For instance, Spergel speculates that if early dark energy could interact with dark matter (in LCDM, dark energy and dark matter do not interact), this could suppress the fluctuations of matter in the early universe in ways that would resolve the S8 tension, while simultaneously taking care of the H0 tension. “It makes the models more baroque, but maybe that’s what nature will demand,” Spergel says.
As an observational astronomer, Hildebrandt is circumspect. “If there was a convincing model that beautifully solves these two tensions, we’d already have the next standard model. That we’re instead still talking about these tensions and scratching our heads is just reflecting the fact that we don’t have such a model yet.”
Riess agrees. “After all, this is a problem of using a model based on an understanding of physics and the universe that is about 95 percent incomplete, in terms of the nature of dark matter and dark energy,” he says. “It wouldn’t be crazy to think that we are missing something.”
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