Did the Big Bang begin from a singularity? Not anymore.


Where did all this come from? In every direction we care to observe, we find stars, galaxies, clouds of gas and dust, tenuous plasmas, and radiation spanning the gamut of wavelengths: from radio to infrared to visible light to gamma rays. No matter where we look or how we look at the universe, it’s full of matter and energy absolutely everywhere and at all times. And yet, it’s only natural to assume that it all came from somewhere. If you want to know the answer to the biggest question of all — the question of our cosmic origins — you have to pose the question to the universe itself, and listen to what it tells you to find out the answer.

Today, the universe as we see it is expanding, rarifying (getting less dense), and cooling. Although it’s tempting to simply extrapolate forward in time, when things will be even larger, less dense, and cooler, the laws of physics allow us to extrapolate backwards just as easily. Long ago, the universe was smaller, denser, and hotter. How far back can we take this extrapolation? Mathematically, it’s tempting to go as far as possible: all the way back to infinitesimal sizes and infinite densities and temperatures, or what we know as a singularity. This idea, of a singular beginning to space, time, and the universe, was long known as the Big Bang.

But physically, when we looked closely enough, we found that the universe told a different story. Here’s how we know the Big Bang isn’t the beginning of the universe anymore.

Countless scientific tests of Einstein’s general theory of relativity have been performed, subjecting the idea to some of the most stringent constraints ever obtained by humanity. Einstein’s first solution was for the weak-field limit around a single mass, like the Sun; he applied these results to our Solar System with dramatic success. Very quickly, a handful of exact solutions were found thereafter. (Credit: LIGO scientific collaboration, T. Pyle, Caltech/MIT)

Like most stories in science, the origin of the Big Bang has its roots jointly in both theoretical and experimental/observational realms. Over on the theory side, Einstein put forth his general theory of relativity in 1915: a novel theory of gravity that sought to overthrow Newton’s crown jewel: his theory of universal gravitation. Although Einstein’s theory was far more intricate and complicated, it wasn’t long before the first exact solutions were found.

  1. In 1916, Karl Schwarzschild found the solution for a point-like mass, which describes a non-rotating black hole.
  2. In 1917, Willem de Sitter found the solution for an empty universe with a cosmological constant, which describes an exponentially expanding universe.
  3. From 1916-1921, the Reissner-Nordström solution was found independently by four researchers, describing the spacetime for a charged, spherically symmetric mass.
  4. In 1921, Edward Kasner found a solution that described a matter-and-radiation-free universe that’s anisotropic: different in different directions.
  5. And in 1922, Alexander Friedmann discovered the solution for an isotropic (same in all directions) and homogeneous (same at all locations) universe, where any and all types of energy, including matter and radiation, were present.
An illustration of our cosmic history, from the Big Bang until the present, within the context of the expanding Universe. The first Friedmann equation describes all of these epochs, from inflation to the Big Bang to the present and far into the future, perfectly accurately, even today. (Credit: NASA/WMAP science team)

That last one was very compelling for two combined reasons. One, it appeared to describe our universe on the largest scales, where things appear similar, on average, everywhere and in all directions. And two, if you solved the governing equations for this solution — the Friedmann equations — you’d find that the universe it describes cannot be static, but must either expand or contract.

This latter fact was recognized by many, including even Einstein, but it wasn’t taken particularly seriously until the observational evidence began to support it. In the 1910s, astronomer Vesto Slipher started observing certain nebulae, which some argued might be galaxies outside of our Milky Way, and found that they were moving fast: far faster than any other objects within our galaxy. Moreover, the majority of them were moving away from us, with fainter, smaller nebulae generally appearing to move faster.

Then, in the 1920s, Edwin Hubble began measuring individual stars in these nebulae, and finally determined the distances to them. Not only were they much farther away than anything else in the galaxy, but the ones found at greater distances were moving away faster than the closer ones. As Lemaître, Robertson, Hubble and others swiftly put together, the universe was expanding.

Edwin Hubble’s original plot of galaxy distances versus redshift (left), establishing the expanding universe, versus a more modern counterpart from approximately 70 years later (right). In agreement with both observation and theory, the universe is expanding. (Credit: E. Hubble; R. Kirshner, PNAS, 2004)

Georges Lemaître was the first, in 1927, to recognize this. Upon discovering the expansion, he extrapolated backwards, theorizing — as any competent mathematician might — that you could go as far back as you wanted: to what he called the primeval atom. In the beginning, he realized, the universe was a hot, dense, rapidly expanding collection of matter and radiation, and everything we see around us emerged from this primordial state.

Later on, this idea was developed by others to make a set of additional predictions.

  1. The universe, as we see it today, is more evolved than it was in the past. The farther back we look in space, the farther back we’re also looking in time, and so the objects we see back then should be younger, less gravitationally clumpy, less massive, with fewer heavy elements, and with less-evolved structure. There should even be a point beyond which no stars or galaxies were present.
  2. At some point, the radiation was so hot that neutral atoms couldn’t stably form, as radiation would reliably kick any electrons off of the nuclei they were attempting to bind to, and hence there should be a leftover — now cold and sparse — bath of cosmic radiation left over from this time.
  3. And finally, at some extremely early time it would have been so hot that even atomic nuclei would be blasted apart, implying there was an early, pre-stellar phase where nuclear fusion would have occurred: Big Bang nucleosynthesis. From that, we expect there to be at least a population of light elements and their isotopes throughout the universe before any stars formed.
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. (Credit: NASA/CXC/M. Weiss)

In conjunction with the expanding universe, these four points would become the cornerstone of the Big Bang. The growth and evolution of the large-scale structure of the universe, of individual galaxies, and of the stellar populations found within those galaxies all validates the Big Bang’s predictions. The discovery of a bath of radiation just ~3 K above absolute zero, combined with its blackbody spectrum and temperature imperfections at the tens-to-hundreds of microkelvin level, was the key evidence that validated the Big Bang and eliminated many of its most popular alternatives. And the discovery and measurement of the light elements and their ratios — including hydrogen, deuterium, helium-3, helium-4, and lithium-7 — not only taught us what type of nuclear fusion occurred prior to the formation of stars, but teaches us how much total normal matter is present in the universe.

Extrapolating back to as far as your evidence can take you is a tremendous success for science. The physics that takes place during the earliest stages of the hot Big Bang imprints itself onto the universe, enabling us to test our models, theories, and understanding of the universe from that time. The earliest observable imprint, in fact, is the cosmic neutrino background, whose effects show up in both the cosmic microwave background (the Big Bang’s leftover radiation) and the universe’s large-scale structure. This neutrino background comes to us, remarkably, from just ~1 second into the hot Big Bang.

If there were no oscillations due to matter interacting with radiation in the Universe, there would be no scale-dependent wiggles seen in galaxy clustering. The wiggles themselves, shown with the non-wiggly part subtracted out (bottom), is dependent on the impact of the cosmic neutrinos theorized to be present by the Big Bang. Standard Big Bang cosmology corresponds to β=1. (Credit: D. Baumann et al., Nature Physics, 2019)

But extrapolating beyond the limits of your measurable evidence is a dangerous, albeit tempting, game to play. After all, if we can trace the hot Big Bang back some 13.8 billion years, all the way to when the universe was less than 1 second old, what’s the harm in going all the way back just one additional second: to the singularity predicted to exist at a time when the universe was 0 seconds old?

The answer, surprisingly, is that there’s a tremendous amount of harm, if you’re like me in considering “making unfounded, incorrect assumptions about reality” to be harmful. The reason this is problematic is because beginning at a singularity — at arbitrarily high temperatures, arbitrarily high densities, and arbitrarily small volumes — will have consequences for our universe that aren’t necessarily supported by observations.

If the universe were to have begun from a singularity, for example, then it must have sprung into existence with exactly the right balance of “stuff” in it, matter and energy combined, to precisely balance the expansion rate. If there were just a tiny bit more matter, the initially expanding universe would have already recollapsed by now; if there were a tiny bit less, things would have expanded so quickly that the universe would be much larger than it is today.

singularity
If the Universe had just a slightly higher density (red), it would have recollapsed already; if it had just a slightly lower density, it would have expanded much faster and become much larger. The Big Bang, on its own, offers no explanation as to why the initial expansion rate at the moment of the Universe’s birth balances the total energy density so perfectly, leaving no room for spatial curvature at all. (Credit: Ned Wright’s cosmology tutorial)

And yet, instead, what we’re observing is that the universe’s initial expansion rate and the total amount of matter-and-energy within it balance as perfectly as we can measure.

Why?

If the Big Bang began from a singularity, we have no explanation; we simply have to assert “the universe was born this way,” or, as physicists ignorant of Lady Gaga call it, “initial conditions.”

Similarly, a universe that reached arbitrarily high temperatures would be expected to possess leftover high-energy relics, like magnetic monopoles; we observe none. It would be expected to be different temperatures in regions that are causally disconnected from one another — i.e., are in opposite directions in space at our observational limits — and yet the universe is observed to have equal temperatures everywhere to 99.99%+ precision.

We’re always free to appeal to initial conditions as the explanation for anything, and say, “well, the universe was born this way, and that’s that.” But we’re always far more interested, as scientists, if we can come up with an explanatory for the properties we observe.

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. (Credit: E. Siegel/Beyond the Galaxy)

That’s precisely what cosmic inflation gives us, plus more. Inflation says, sure, extrapolate the hot Big Bang back to a very early, very hot, very dense, very uniform state, but stop yourself before you go all the way back to a singularity. If you want the universe to have the expansion rate and the total amount of matter-and-energy in it balance, you’ll need some way to set it up that way. Same thing for being the same temperature everywhere. On a slightly different note, if you want to avoid high-energy relics, you need some way to both get rid of any pre-existing ones, and then avoid creating new ones by forbidding your universe from getting too hot once again.

Inflation does this by postulating a period, prior to the hot Big Bang, where the universe was dominated by a large cosmological constant (or something that behaves similarly): the same solution found by de Sitter way back in 1917. This phase stretches the universe flat, gives it the same properties everywhere, gets rid of any pre-existing high-energy relics, and prevents us from generating new ones by capping the maximum temperature reached after inflation ends and the hot Big Bang ensues. Furthermore, by assuming there are quantum fluctuations generated and stretched across the universe during inflation, it makes new predictions for what types of imperfections the universe would begin with.

The quantum fluctuations that occur during inflation get stretched across the Universe, and when inflation ends, they become density fluctuations. This leads, over time, to the large-scale structure in the Universe today, as well as the fluctuations in temperature observed in the CMB. New predictions like these are essential for demonstrating the validity of a proposed fine-tuning mechanism. (Credit: E. Siegel; ESA/Planck and the DOE/NASA/NSF Interagency Task Force on CMB research)

Since it was hypothesized back in the 1980s, inflation has been tested in a variety of ways against the alternative: a universe that began from a singularity. When we stack up the scorecard, we find the following.

  1. Inflation reproduces all of the successes of the hot Big Bang; there’s nothing that the hot Big Bang accounts for that inflation can’t also account for.
  2. Inflation offers successful explanations for the puzzles that we simply have to say “initial conditions” for in the hot Big Bang.
  3. And of the predictions where inflation and a hot Big Bang without inflation differ, four of them have been tested to sufficient precision to discriminate between the two. On those four fronts, inflation is 4-for-4, while the hot Big Bang is 0-for-4.

But where that gets really interesting is if we go back to look at our idea of “the beginning.” Whereas a universe with matter and/or radiation — what we get with the hot Big Bang — can always be extrapolated back to a singularity, an inflationary universe cannot. Due to its exponential nature, even if you run the clock back an infinite amount of time, space will only approach infinitesimal sizes and infinite temperatures and densities; it will never reach it. This means, rather than inevitably leading to a singularity, inflation absolutely cannot get you to one by itself. The idea that “the universe began from a singularity, and that’s what the Big Bang was,” needed to be jettisoned the moment we recognized that an inflationary phase preceded the hot, dense, matter-and-radiation filled one we inhabit today.

singularity
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 backwards forever. Only the last minuscule fraction of a second, from the end of inflation, imprints itself on our observable Universe today. (Credit: E. Siegel)

This new picture gives us three important pieces of information about the beginning of the universe that’s different from the traditional story that most of us learned. First off, the original notion of the hot Big Bang, where the universe emerged from an infinitely hot, dense, small singularity and has been expanding and cooling, full of matter and radiation ever since, is incorrect. The picture is still largely correct, but there’s a cutoff to how far back in time we can extrapolate it.

Second off, the state that occurred prior to the hot Big Bang has been well-established observationally: cosmic inflation. The early universe, before the hot Big Bang, underwent a phase of exponential growth, where any pre-existing components to the universe were literally “inflated away.” When inflation came to an end, the universe reheated up to a high, but not arbitrarily high, temperature, giving us the hot, dense, expanding universe that grew into what we recognize today.

Lastly, and perhaps most importantly, we can no longer speak, with any sort of knowledge or confidence, how — or even whether — the universe itself began. By the very nature of inflation, it wipes out any information that came before the final few moments: where it ended and gave rise to our hot Big Bang. Inflation could have gone on for an eternity, it could have been preceded by some other non-singular phase, or it could have been preceded by a phase that did emerge from a singularity. Until the day comes where we discover how to extract more information from the universe than presently seems possible, we have no choice but to face our ignorance. The Big Bang still happened a very long time ago, but it wasn’t the beginning we once supposed it to be.



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