Ask Ethan: When do we start counting the age of the Universe?

According to the theory of the hot Big Bang, the Universe had a beginning. Originally known as “a day without a yesterday,” this is one of the most controversial, philosophically mind-blowing pieces of information we’ve come to accept as part of the scientific history of our Universe. Many detractors will reject it as being too in-line with certain religious texts, while others — perhaps more justifiably — note that in the modern context of cosmic inflation, the hot Big Bang only occurred as the aftermath of a previous epoch.

And yet, if you ask any cosmologist or astrophysicist who’s well-versed in the scientific story of our beginnings “How old is our Universe?” you always get the same answer: 13.8 billion years. Why is this, and when do we start counting? That’s what Denis Gaudet wants to know, writing in to ask:

“Why do you start counting the age of universe after 380,000 years have elapsed after the Big Bang?”

The time “380,000 years after the Big Bang” is of particular interest, but very few people mark that as the beginning of the Universe; it is the beginning of something important, however. Here’s what we can say about how old our Universe truly is.

The globular cluster Messier 69 is highly unusual for being both incredibly old, with indications that it formed at just 5% the Universe’s present age (around 13 billion years ago), but also having a very high metal content, at 22% the metallicity of our Sun. The brighter stars are in the red giant phase, just now running out of their core fuel, while a few blue stars are the result of mergers: blue stragglers.

The first thing you need to understand is that there are two different ways of measuring the age of the Universe since the start of the hot Big Bang.

1. We can find “the oldest thing we know how to measure its age” and conclude that the Universe must be at least that old.
2. We can use what we know about the theory that governs the Universe, General Relativity, as well as our knowledge of what the Universe is made out of plus how fast it’s expanding today to calculate how long it’s been since the start of the hot Big Bang.

The first method isn’t exactly a measurement of how old the Universe is, but rather a sanity check: the Universe cannot be younger than the things in it, so when we find things in it and measure their ages, we conclude that the Universe must be at least that old.

As cosmology and astrophysics grew out of the far older sciences of astronomy and physics, it should come as no surprise that one of the things we’ve gotten very good at knowing the ages of are stars and large populations of stars. Here’s how that works.

The life cycles of stars can be understood in the context of the color/magnitude diagram shown here. As the population of stars age, they ‘turn off’ the diagram, allowing us to date the age of the cluster in question. The oldest globular star clusters, such as the very old cluster shown at right, have an age of over 13 billion years, but many globulars also exhibit a second, more youthful population of stars alongside the older one.

Whenever and wherever stars are born, which occurs whenever clouds of gas sufficiently collapse under their own gravity, they come in a wide variety of sizes, colors, temperatures, and masses. The largest, bluest, most massive stars contain the greatest amounts of nuclear fuel, but perhaps paradoxically, those stars are actually the shortest lived. The reason is straightforward: in any star’s core, where nuclear fusion occurs, it only occurs wherever temperatures exceed 4 million K, and the higher the temperature, the greater the rate of fusion.

So the most massive stars might have the most fuel available at the start, but that means they shine brightly as they burn through their fuel quickly. In particular, the hottest regions in the core will exhaust their fuel the fastest, leading the most massive stars to die the most quickly. The best method we have for measuring “How old is a collection of stars?” is to examine globular clusters, which form stars in isolation often all at once, and then never again. By looking at the cooler, fainter stars that remain (and the lack of hotter, bluer, brighter, more massive stars), we can state with confidence that the Universe must be at least ~12.5-13.0 billion years old.

Measuring back in time and distance (to the left of “today”) can inform how the Universe will evolve and accelerate/decelerate far into the future. By linking the expansion rate to the matter-and-energy contents of the Universe and measuring the expansion rate, we can come up with an estimate for the amount of time that’s passed since the start of the hot Big Bang.

Similarly, we can take the known laws of physics, like General Relativity, and apply them to the expanding Universe. That results in a set of equations — the Friedmann equations — that relate how the Universe has expanded over its history to how fast it’s expanding today and also the various forms of energy that are present inside of it. When we take the best suite of data that’s available, including from the cosmic microwave background (CMB), which is made of the light left over from the Big Bang, and from all the large-scale clustering data we’ve collected, we get a straightforward answer that reveals our cosmic history to us.

We find that the Universe is made of:

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

and not an appreciable amount of anything else. We also find that it’s expanding at a rate of 67 km/s/Mpc, which — when we combine all that information together — reveals a Universe that’s 13.8 billion years old, if we extrapolate all the way back to the instant of the Big Bang. Case closed?

This graph shows which values of the Hubble constant (left, y-axis) best fit the data from the cosmic microwave background from ACT, ACT + WMAP, and Planck. Note that a higher Hubble constant is admissible, but only at the expense of having a Universe with more dark energy and less dark matter.

Not entirely. There are three objections you can make, each with varying degrees of validity.

Objection #1: What about the Hubble tension, or the fact that different measurement methods give a value for the expansion rate that’s 74 km/s/Mpc, or 9% greater than the value quoted?

It’s true: if we measure an imprint from the early Universe, like how far away different maximal “peaks” in density are from one another in the expanding Universe, we get the earlier value of 67 km/s/Mpc with the Universe’s constituents mentioned above. But what if that method isn’t correct, or isn’t universally correct, and the late-time methods we use, such as the cosmic distance ladder, which give 74 km/s/Mpc, is correct instead?

You might think that this would imply a younger Universe, as “faster expansion” means it takes less time to trace the Universe back to a condition where all the matter and energy was shrunk down to a single point.

But it turns out there are degeneracies between various parameters in terms of “what makes up the Universe” and “how fast is the Universe expanding,” meaning that if the expansion rate is 9% greater, that forces us to slightly increase the amount of dark energy by a few percent, at the expense of dark matter, which decreases by about the same amount. The “age of the Universe” might shift a little bit, perhaps down to 13.6 billion years, but that’s not by very much at all. The “age” parameter is largely invariant to these changes.

A visual history of the expanding Universe includes the hot, dense state known as the Big Bang and the growth and formation of structure subsequently. The full suite of data, including the observations of the light elements and the cosmic microwave background, leaves only the Big Bang as a valid explanation for all we see. As the Universe expands, it also cools, enabling ions, neutral atoms, and eventually molecules, gas clouds, stars, and finally galaxies to form. Early on, the highest temperature conditions of all-time were achieved; in the far future, everything will eventually cool off toward absolute zero.

Objection #2: Should we start counting from 380,000 years, where the CMB we observe was emitted, or some other milestone, instead of a nominal “t=0” corresponding to the moment of the Big Bang?

This is an interesting consideration, because it makes sense only to extrapolate as far back as your data allows you to be certain that the extrapolation is valid. However, there are two reasons why I wouldn’t only go all the way back to the CMB.

1. We have two sets of signals that go back farther: the abundance of the light elements created from Big Bang nucleosynthesis, which takes place when only 3-4 minutes have elapsed since the hot Big Bang, and the signals from the cosmic neutrino background that imprint themselves into the CMB and the large-scale structure of the Universe, which were created and frozen-in when only ~1 second had elapsed since the hot Big Bang.
2. When we count back billions of years — you know, 13.8 billion years — the uncertainty is in the last digit: the “8” in 13.8 billion. If you’re off by 380,000 years, or a few minutes or seconds for that matter, you won’t notice; that’s not significant compared to the 13.8 billion figure.

It’s true that there are many milestones that we can reach extrapolating back in time: the first galaxy clusters, the first galaxies, the first stars, the first neutral atoms, the first stable atomic nuclei, the first protons-and-neutrons, the first massive particles, etc., but if we go as early as possible, we know — to three significant figures, at least — that “13.8 billion years ago” is when the hot Big Bang began.

From a pre-existing state, inflation predicts that a series of universes will be spawned as inflation continues, with each one being completely disconnected from every other one, separated by more inflating space. One of these “bubbles,” where inflation ended, gave birth to our Universe some 13.8 billion years ago, with a very low entropy density, but without ever violating the 2nd law of thermodynamics.

Objection #3: Okay, but the Universe didn’t really begin with the hot Big Bang; cosmic inflation preceded it. So why not start at the beginning of inflation?

Now you’re speaking my language. This one trips me up, too, because I know that going back 13.8 billion years to the hot Big Bang doesn’t quite take us back to the true beginning. Instead, it takes us back to an assumption that we used to think might be valid, but that we’re certain no longer is: that you could extrapolate our expanding-and-cooling Universe back, using the components of the Universe we have today, to a state where we had:

• arbitrarily hot temperatures,
• arbitrarily high densities,
• and where our 92-billion-light-year diameter Universe, today, was all contracted down into a single point.

This idea, that the start of the hot Big Bang corresponds to a singularity, was once taken as a given from perhaps the 1920s, when the Big Bang was first conceived, to the 1970s. But in the 1970s, we started to notice some peculiar properties that didn’t seem to align with the notion of extrapolating the hot Big Bang to those arbitrarily hot, dense, energetic, and small states.

If these three different regions of space never had time to thermalize, share information, or transmit signals to one another, then why are they all the same temperature? This is one of the problems with the initial conditions of the Big Bang; how could these regions all obtain the same temperature unless they started off that way, somehow?

For example, we saw that the Universe was spatially flat: where it was as though the expansion rate and the total amount of matter-and-energy in the Universe were perfectly balanced, down to the atom. That’s certainly possible within the Big Bang paradigm, but is in no way predicted. We also saw that the Universe had the same properties — including temperatures and densities — in regions that couldn’t have communicated or exchanged information with one another since the start of the hot Big Bang. And, for another, we didn’t see any leftover high-energy relics, like the kinds we might expect if the Universe ever did reach those ultra-hot states.

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One possibility that emerged was that the Universe, before the hot Big Bang, was preceded by a period of exponential expansion that set up and gave rise to the conditions we observe. The Universe would be flat because inflation stretched it so it was indistinguishable from flat, irrespective of what it was before. It would be the same temperature in all directions because those now-disparate regions once overlapped, but inflation drove them apart. And there would be no high-energy relics because the Universe never achieved those arbitrarily high temperatures, but only reheated, after the end of inflation, to a finite temperature that was below the Planck scale.

In the top panel, our modern Universe has the same properties (including temperature) everywhere because they originated from a region possessing the same properties. In the middle panel, the space that could have had any arbitrary curvature is inflated to the point where we cannot observe any curvature today, solving the flatness problem. And in the bottom panel, pre-existing high-energy relics are inflated away, providing a solution to the high-energy relic problem. This is how inflation solves the three great puzzles that the Big Bang cannot account for on its own.

What set inflation apart from other speculations, however, was its ability to make predictions that differed from the hot Big Bang’s if there were no inflation. Many of these predictions have been borne out by later observations, including:

• the prediction of an almost scale-invariant spectrum of density fluctuations, with a slight tilt to it,
• where all of the fluctuations would be adiabatic, and not isocurvature, in nature,
• including the existence of fluctuations on scales larger than the cosmic horizon set by the speed of light,
• and where the Universe reached a maximum temperature, as indicated by the CMB, that was well below the Planck scale.

All of these predictions have been subsequently confirmed, implying that there was a period of exponential expansion prior to the start of the hot Big Bang.

But how long did that period last, and what came before it?

For the first question of how long it lasted, that’s a question where we only have a lower limit, but there is no upper limit set by data. Inflation must have resulted in the Universe “doubling” in size at least a few hundred times, but if each “doubling” only takes something like 10^-35 seconds, then that only tells us that the Universe must have undergone inflation for at least ~10^-32 seconds. It could have lasted nanoseconds, seconds, years, trillions of years, googols of years, or even longer before ending and giving rise to the hot Big Bang.

Blue and red lines represent a “traditional” Big Bang scenario, where everything starts at time t=0, including spacetime itself. But in an inflationary scenario (yellow), we never reach a singularity, where space goes to a singular state; instead, it can only get arbitrarily small in the past, while time continues to go backward forever. Only the last minuscule fraction of a second, from the end of inflation, imprints itself on our observable Universe today.

But the answer is also, “It probably didn’t go on for an infinite amount of time,” when it comes to inflation. Although there may be loopholes that allow us to avoid an initial singularity, there are some very compelling theorems that strongly suggest that inflation arose from a pre-inflationary state that may have been singular. It’s unknown what the physical mechanism was that started it off, or if our presently understood laws of physics even apply to those early times.

But one thing is for certain: when we talk about the “age of the Universe,” we’re talking about the “age of the Universe that we can observe,” which includes the Universe going back to the start of the hot Big Bang and the tiny fraction-of-a-second over which the final moments of inflation left an imprint on our Universe. There was almost certainly more inflation before the final piece of it that left observable signals for us to see, and there was almost certainly something else before the onset of inflation, but how long they lasted, what they were like, and what caused them to begin are not questions that science has answered. The Universe we observe is 13.8 billion years old, but what came before it (and for how long) is still firmly in the realm of speculation.

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