big crunch

Dark energy is here to stay, and a “Big Crunch” isn’t coming

Today, the Universe is full of clues about our cosmic origins. There are galaxies everywhere, and each one is rife with stars. The stars are made out of the various chemical elements composing the periodic table, where those same stars are responsible for transmuting light elements into heavier ones via the process of nuclear fusion. Because the speed of light is finite, when we examine nearby galaxies, we’re seeing the Universe as it is today, but the farther away we look, the farther we’re seeing back in time. And the galaxies we see from earlier are fundamentally different than the ones that we see today.

The earlier galaxies are smaller, lower in mass, bluer in color, with fewer heavy elements and less-evolved structures. The light from them, in addition, has been shifted to longer and longer wavelengths by the expansion of the Universe. Because there’s a relationship between what makes up the Universe and how it expands, we can use these measurements to determine the mix of ingredients that’s present on cosmic scales.

When we do, we not only learn how to reconstruct our past history, but to predict our future history as well. What we learn is that, despite speculative reports to the contrary, a “Big Crunch” simply doesn’t add up. There’s no evidence that our Universe will turn around and start contracting, but instead will expand forever, owing to dark energy. Here’s why.

The galaxies shown in this picture all lie beyond the Local Group, and as such are all gravitationally unbound from us. As a result, as the Universe expands, the light from them gets shifted towards longer, redder wavelengths, and these objects wind up farther away, in light-years, than the number of years it actually takes the light to journey from them to our eyes. As the expansion relentlessly continues, they’ll wind up progressively farther and farther away.

(Credit: ESO/INAF-VST/OmegaCAM. Acknowledgement: OmegaCen/Astro-WISE/Kapteyn Institute)

It’s easy to look out at the Universe today and wonder precisely what it is that we’re looking at. It’s easy to find questions to ponder that boggle the mind:

  • What’s it made of?
  • Where did it come from?
  • And what, in the far future, will its ultimate fate be?

It’s important, when we engage in these exercises scientifically, to simultaneously remain open to all of the wild possibilities our imaginations can concoct, while still being consistent with the Universe we’ve observed.

If we simply look at the Universe we observe and ask the question, “What’s the simplest model that best fits the data,” we wind up with what we consider a “vanilla” Universe. If we started off with the hot Big Bang and allowed everything to expand and cool, we’d expect that the light emanating from distant objects would arrive at our eyes after being shifted to longer wavelengths by the cumulative effects of how the Universe expanded from the time the light was first emitted until the time the light arrived at our observatories.

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By plotting the curve of how the Universe has expanded as a function of time and comparing that with the different theoretical predictions for how a Universe with various amounts of various types of matter-and-energy evolves, one clear picture emerges as the front-runner.

Friedmann equation

Whatever the expansion rate is today, combined with whatever forms of matter and energy exist within your universe, will determine how redshift and distance are related for extragalactic objects in our universe.

(Credit: Ned Wright/Betoule et al. (2014))

This straightforward method of measuring the Universe is remarkably precise, given just how many objects we’ve been able to accurately measure over the expanse of space accessible to our instruments. Because different forms of energy evolve at different rates, simply measuring the relationship between redshift, or how much the wavelength of the observed light must differ from the light as it was when it was emitted, and distance, or how far away the object in question is, allows us to determine what makes up the Universe.

When we perform this calculation, given that we can accurately measure how fast the Universe is expanding today, we find that the Universe is made of:

  • ~0.01% photons,
  • ~0.1% neutrinos,
  • ~4.9% normal matter,
  • ~27% dark matter,
  • and ~68% dark energy,

all of which leave different imprints on the Universe in a variety of ways. Although there are puzzles associated with each of them, and there’s enough wiggle-room to perhaps change things by a few percent in certain directions, this picture of what the Universe is made of is highly non-controversial on cosmic scales.

Friedmann equation

The relative importance of different energy components in the Universe at various times in the past. Note that when dark energy reaches a number near 100% in the future, the energy density of the Universe (and, therefore, the expansion rate) will remain constant arbitrarily far ahead in time. Owing to dark energy, distant galaxies are already speeding up in their apparent recession speed from us.

(Credit: E. Siegel)

We can then go back to our understanding of the expanding Universe and ask ourselves, “If this is what the Universe is made out of, what sort of fate is in store for us?”

Again, the answer you get is incredibly straightforward. There’s a set of equations — the Friedmann equations — that relates what’s in the Universe to how the Universe expands throughout all of cosmic history. Given that we can measure the expansion rate, how the expansion rate has changed, and that we can determine what’s actually in the Universe, it’s simply a matter of using these equations to calculate how the Universe will continue to expand (or not) into the far future.

What we find is the following:

  • the Universe will continue to expand,
  • as it does, the energy densities of photons, neutrinos, normal matter, and dark matter will all drop,
  • while the energy density of dark energy will remain constant,
  • which means that the Universe’s expansion rate will continue to drop,
  • but not to 0; instead, it will approach a finite, positive value that’s about 80% of its value today,
  • and will continue to expand, at that rate, for all eternity, even as the matter and radiation densities asymptote to zero.
dark energy

The different possible fates of the Universe, with our actual, accelerating fate shown at the right. After enough time goes by, the acceleration will leave every bound galactic or supergalactic structure completely isolated in the Universe, as all the other structures accelerate irrevocably away. We can only look to the past to infer dark energy’s presence and properties, which require at least one constant, but its implications are larger for the future.

(Credit: NASA & ESA)

In other words, the Universe will expand forever, will never see the expansion rate drop to zero, will never see the expansion reverse, and will never end in a Big Crunch.

So why, then, are some scientists so resistant to that conclusion?

Because, for better or for worse, you can always imagine that something you’ve measured — something that appears to be simple in its properties — is more complicated than you realize. If that turns out to be the case, then at that point, all bets are off.

For example, we’ve assumed, based on what we’ve observed, that dark energy has the following properties:

  • it was irrelevant to the Universe’s expansion rate for the first ~6 billion years after the Big Bang,
  • then, as matter sufficiently diluted, it became important,
  • it came to dominate the expansion rate over the next few billion years,
  • and right around the time that planet Earth was forming, it became the dominant form of energy in the Universe.

Everything we observe is consistent with dark energy having a constant density, meaning that even as the Universe expands, the energy density neither increases nor dilutes. It truly appears to be consistent with a cosmological constant.

dark energy

While matter (both normal and dark) and radiation become less dense as the Universe expands owing to its increasing volume, dark energy, and also the field energy during inflation, is a form of energy inherent to space itself. As new space gets created in the expanding Universe, the dark energy density remains constant.

(Credit: E. Siegel/Beyond the Galaxy)

Very importantly, this is not an ideological prejudice. From a theoretical point of view, there are very good reasons to expect that the dark energy density will not change with time or over space, but this is not the arbiter as far as what leads us to our scientific conclusions. The thing that leads us there is the quality of the data, irrespective of our preconceptions or expectations. Let’s go through both: the theoretical expectations and then the history of observations about dark energy, and then let’s finally consider the wild alternatives of what it would take — versus what evidence we have — to alter our cosmic conclusions.

From a theoretical perspective, we can imagine that there are all sorts of “things” that are present in the Universe. As the Universe expands, the total number of “things” in the Universe remains the same, but the volume over which those things is distributed increases. In addition, if you have a large amount of kinetic energy, or if your intrinsic energy is related to a space-related property like wavelength, then the expansion of the Universe can alter the energy inherent to each thing. You can calculate, for each species of “thing” you can imagine — things like radiation, neutrinos, normal matter, dark matter, spatial curvature, cosmic strings, domain walls, cosmic textures, and a cosmological constant (which is the same as the zero-point energy of empty space) — how their energy densities will change as the Universe expands.

dark energy

Various components of and contributors to the Universe’s energy density, and when they might dominate. Note that radiation is dominant over matter for roughly the first 9,000 years, then matter dominates, and finally, a cosmological constant emerges. (The others do not exist in appreciable amounts.) Neutrinos first behave as radiation, and later, as matter. However, dark energy may not be a cosmological constant, exactly, and could evolve if we’ve incorrectly assumed its nature.

(Credit: E. Siegel / Beyond the Galaxy)

When we work this out, we notice that there’s a simple but straightforward relationship between the energy density of each species, the scale of the Universe, and what General Relativity describes as the pressure of each species. In particular:

  • Radiation dilutes as the scale of the Universe to the 4th power, and the pressure is +⅓ multiplied by the energy density.
  • All forms of matter dilute as the scale of the Universe to the 3rd power, and the pressure is 0 multiplied by the energy density.
  • Cosmic strings and spatial curvature both dilute as the scale of the Universe to the 2nd power, and the pressure is -⅓ multiplied by the energy density.
  • Domain walls dilute as the scale of the Universe to the 1st power, and the pressure is -⅔ multiplied by the energy density.
  • And a cosmological constant dilutes as the scale of the Universe to the 0th power, where the pressure is -1 multiplied by the energy density.

When you have a particle species like a neutrino, it behaves as radiation while it’s relativistic (moving close compared to the speed of light), and then transitions to behave as matter as it slows down due to the expanding Universe. You’ll notice, as you look at these various possibilities for the Universe, that the pressure is related to the energy density in increments of factors of ⅓, and only changes when species change their behavior, not their intrinsic properties.

Pantheon+

The latest constraints from the Pantheon+ analysis, involving 1550 type Ia supernovae, are entirely consistent with dark energy being nothing more than a “vanilla” cosmological constant. There is no evidence favoring its evolution across either time or space.

(Credit: D. Brout et al./Pantheon+, ApJ submitted, 2022)

When we first uncovered the presence of dark energy, we weren’t able to measure its properties well at all. We could tell it wasn’t matter or radiation, as we could tell that it had some sort of pressure that was negative overall. However, as we gathered better data, particularly:

  • from type Ia supernovae,
  • from the imperfections in the cosmic microwave background,
  • and from measuring how the Universe’s large-scale structure evolved over cosmic time,

our constraints began to improve. By the year 2000, it was clear that dark energy’s pressure was more negative than cosmic strings or spatial curvature could account for. By the mid-2000s, it was clear that dark energy was most consistent with a cosmological constant, but with an uncertainty that was still pretty large: of about ±30-50%.

However, measurements of the cosmic microwave background’s polarization from WMAP, improved measurements by Planck, and measuring how galaxies are correlated throughout space and time through surveys like the two-degree field, WiggleZ, and the Sloan Digital Sky Survey gradually reduced those errors. By the early 2010s, dark energy still looked like a cosmological constant, but the uncertainties were down to ±12%. By the late 2010s, they were down to ±8%. Today, they sit at around ±7%, with NASA’s upcoming Nancy Roman Telescope poised to reduce that uncertainty down to just ±1%.

dark energy

This illustration compares the relative sizes of the areas of sky covered by two surveys: Roman’s High Latitude Wide Area Survey, outlined in blue, and the largest mosaic led by Hubble, the Cosmological Evolution Survey (COSMOS), shown in red. In current plans, the Roman survey will be more than 1,000 times broader than Hubble’s, revealing how galaxies cluster across time and space as never before, and enabling the tightest constraints on dark energy of all-time.

(Credit: NASA/GSFC)

Both theoretically and observationally, we have every indication that dark energy is a cosmological constant. We know its pressure is equal to -1 multiplied by its energy density, and not -⅔ or -1⅓. In fact, the only wiggle-room we have is that there’s some tiny variation, across either space or time, that lies below the limits of what we’ve been able to detect. Both theoretically and observationally, there’s no reason to believe that such a variation exists.

But that will never stop theorists from doing what they do best: playing in the proverbial sandbox.

Whenever you have an observational or experimental result that doesn’t align with your expectations, what we typically do is modify the standard theory by adding something new in: a new particle, a new species, or a modification to the behavior of a known-to-exist species. Each new ingredient can have one or more “free parameters” to it, enabling us to tweak it to fit the data, and to extract new predictions from it. In general, a “good idea” will explain many different discrepancies with few free parameters, and a “bad idea” will explain only one or two discrepancies with one or two parameters.

Where do dark energy models that lead to a Big Crunch fall, according to this criteria? They add one or more new free parameters, without explaining a single unexpected result. It doesn’t even fall along the good idea-bad idea spectrum; it’s simply unmotivated speculation, or as we call it in professional circles, complete garbage.

big crunch

The far distant fates of the Universe offer a number of possibilities, but if dark energy is truly a constant, as the data indicates, it will continue to follow the red curve, leading to the long-term scenario described here: of the eventual heat death of the Universe. A Big Rip or a Big Crunch will only occur if dark energy transitions and evolves into some form of energy that differs from a cosmological constant: something that runs counter to the present evidence.

(Credit: NASA/CXC/M. Weiss)

It doesn’t mean, ultimately, that dark energy won’t undergo some sort of unexpected transition, and that its properties won’t change in the future. It doesn’t mean that it’s impossible for such a transition to change the contents of the Universe, even causing it to reverse course. And it doesn’t mean that a Big Crunch is an impossible fate for us; if dark energy changes in ways we don’t anticipate, it could indeed happen.

But we shouldn’t confuse “it isn’t ruled out” with “there’s any evidence, at all, indicating this ought to be the case.” People have been modifying dark energy for over 20 years now, playing in the sandbox to their heart’s content. In all that time, up to and including the present, not a single shred of evidence for dark energy’s unexpected evolution has ever appeared. While some may argue that their explanations are beautiful, elegant, or attractive in some way, it’s worth remembering the aphorism known as Hitchens’ razor: “What can be asserted, without evidence, can be dismissed without evidence.” According to all the evidence, dark energy is here to stay, and a Big Crunch, while possible, just doesn’t describe the future fate of the Universe we happen to live in.

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