From Ethan Siegel: “How Far Is The Edge Of The Universe From The Farthest Galaxy?”

Ethan Siegel
May 6, 2017

Our deepest galaxy surveys can reveal objects tens of billions of light years away, but even with ideal technology, there will be a large distance gap between the farthest galaxy and the Big Bang. Sloan Digital Sky Survey (SDSS)

SDSS Telescope at Apache Point Observatory, NM, USA

When we look out into the Universe, there’s light everywhere we can see, for as far as our telescopes are capable of looking. But at some point, there’s a limit to what we’ll encounter. One limit is set by the cosmic structure that forms in the Universe: we can only see the stars, galaxies, etc., as long as they emit light. Without that ingredient, our telescopes can’t detect anything. But another limit, if we can use astronomy to go beyond starlight, is the limit of how much of the Universe is accessible to us since the Big Bang. These two values might not have much to do with one another, and that’s what Oleg Pestovsky wants to know!

Why is the redshift of CMB … around 1,000, while the highest redshift for any galaxy we have observed is 11?

The first thing we need to think about is exactly what happens in our Universe, moving forward, from the moment of the Big Bang.

The observable Universe might be 46 billion light years in all directions from our point of view, but there’s certainly more, unobservable Universe, perhaps even an infinite amount, just like ours beyond that. Frédéric MICHEL and Andrew Z. Colvin, annotated by E. Siegel

The full suite of all we know, see, observe and interact with is what we’ll call the “Observable Universe.” Beyond what we can see, there’s very likely more Universe out there, and as time goes on, we’ll be able to see more and more of it, as light from more distant objects finally reaches us after a cosmic journey taking billions of years. Seeing what we do in the Universe (and not more, and not less) is possible because of a combination of three things:

The fact that it’s been a finite amount of time, 13.8 billion years, since the Big Bang,
The fact that the speed of light, the maximum speed that any signal or particle can travel in the Universe, is finite and constant,
And the fact that the fabric of space itself has been stretching and expanding ever since the Big Bang occurred.

The timeline of our observable Universe’s history. NASA / WMAP science team

What we see today is the result of those three conditions, combined with the initial distribution of matter and energy, operating under the laws of physics for the entire history of our Universe. If we want to know what the Universe was like at any earlier time, all we need to do is observe what the Universe is like today, measure all the relevant parameters, and calculate what it was like in the past. There’s a lot we have to observe and measure to get there, but Einstein’s equations, difficult though they are, are at least straightforward. (The derived results are two equations known as the Friedmann equations, and solving them is a task every graduate student in cosmology becomes intimately familiar with.) And, quite honestly, we’ve made some incredible measurements about the Universe.

Looking towards the north pole of the Milky Way galaxy, we can see out into the depths of space. What’s mapped in this image are hundreds of thousands of galaxies, where each pixel in the image is a unique galaxy. SDSS III, data release 8

We know how fast it’s expanding today. We know what the matter density is everywhere we look. We know how much structure forms on all different scales, from globular clusters to dwarf galaxies to larger galaxies to groups and clusters and large-scale filaments. We know how much of the Universe is normal matter, dark matter, dark energy, as well as much smaller components like neutrinos, radiation and even black holes. And just from that information, extrapolating backwards in time, we can decipher both how big the Universe was and how fast it was expanding at any point in its cosmic history.

A graph of the size/scale of the observable Universe vs. the passage of cosmic time. This is displayed on a log-log scale, with a few major size/time milestones identified. E. Siegel

Today, our observable Universe extends for approximately 46.1 billion light years in all directions from where we are. That’s the distance that if, at the instant of the Big Bang, the original location-in-space of an imaginary particle traveling at the speed of light would be at today if it were to reach us right now, 13.8 billion years later. In principle, that’s where any gravitational waves left over from cosmic inflation — the state prior to the Big Bang that set it up and provided its initial conditions — would originate from.

Gravitational waves generated by cosmic inflation are the farthest signal back in time humanity can conceive of potentially detecting, which originate from the end of cosmic inflation and the very beginning of the hot Big Bang. National Science Foundation (NASA, JPL, Keck Foundation, Moore Foundation, related) — Funded BICEP2 Program; modifications by E. Siegel

But there are other signals left over from the Universe as well. When the Universe was about 380,000 years old, the leftover radiation from the Big Bang stopped scattering off of free, charged particles as they formed neutral atoms. These photons, once neutral atoms form, continue to redshift with the expanding Universe, and can be seen with a microwave or radio telescope/antenna today. But because of how rapidly the Universe expanded back in the earliest stages, the “surface” we see this leftover glow at — the cosmic microwave background — is already only 45.2 billion light years away. The distance from the beginning of the Universe to where the Universe is at 380,000 years of age is already 900 million light years!

The light we perceive as the cosmic microwave background is actually leftover photons from the Big Bang, released at the instant they last scattered off of free electrons. Although that light travels for 13.8 billion years before reaching us, the expansion of space causes that location to be, at present, 45.2 billion light years away. E.M. Huff, the SDSS-III team and the South Pole Telescope team; graphic by Zosia Rostomian

South Pole Telescope SPTPOL

It’s much, much longer than that until we find the most distant galaxy ever discovered in the Universe. While simulations and calculations indicate that the very first stars may have formed when the Universe was between 50 and 100 million years old, and the very first galaxies at around 200 million years, we haven’t been able to see back that far just yet. (Although, hopefully, with the James Webb Space Telescope launching next year, we soon will!).

NASA/ESA/CSA Webb Telescope annotated

The current cosmic record-holder, shown below, is a galaxy from when the Universe was 400 million years old: just 3% of its present age. However, that galaxy, GN-z11, is only located 32 billion light years away: some 14 billion light years from the “edge” of the observable Universe.

The most distant galaxy ever found: GN-z11, in the GOODS-N field as imaged deeply (but not the deepest-ever) by Hubble. NASA, ESA, and P. Oesch (Yale University)

NASA/ESA Hubble Telescope

The reason for this? The expansion rate has been dropping in a tremendous fashion over time. At the time galaxy Gz-11 existed in the state we see it, the Universe was expanding 20 times faster than it is today. When the cosmic microwave background was emitted, the Universe was expanding 20,000 times faster than it is today. And at the moment of the Big Bang, to the best of our knowledge, the Universe was expanding some 10^36 times faster, or 1,000,000,000,000,000,000,000,000,000,000,000,000 times faster than it is today. The Universe’s expansion rate has been slowing down tremendously over time.

This is incredibly good for us! The balance between the initial expansion rate and the total amount of energy in the Universe in all its forms is perfectly balanced, to the limits of the quality of our observations. If the Universe had even slightly too much matter or radiation in the early stages, it would have recollapsed billions of years ago, and we wouldn’t exist. If the Universe had slightly too little matter or radiation early on, it would have expanded too quickly for particles to find one another and even form atoms, much less complex structures like galaxies, stars, planets and humans. The cosmic story that the Universe tells to us is one of extraordinary balance, and one where we actually get to exist.

The intricate balance between the expansion rate and the total density in the Universe is so precarious that even a 0.00000000001% difference in either direction would render the Universe completely inhospitable to any life, stars, or potentially even molecules existing at any point in time. Ned Wright’s Cosmology tutorial.

If our current best theories are correct, the first true galaxies will have formed at some point between around 120 and 210 million years of age. That corresponds to a distance from us of between 37 and 35 billion light years, placing the distance from the farthest galaxy of all to the edge of the observable Universe at 9-to-11 billion light years today. That’s incredibly far, and points to one incredible fact: the Universe was expanding extremely rapidly in the early stages, and expands at a much slower rate today. That first 1% of the Universe’s age is responsible for approximately 20% of the Universe’s total expansion!

The history of our Universe is filled with a number of fantastic events, but since inflation ended and the hot Big Bang occurred, the expansion rate has been dropping precipitously, and slowing its rate of descent as the density continues to drop. Bock et al. (2006, astro-ph/0604101); modifications by E. Siegel

The expansion of the Universe is what’s stretched the light’s wavelength (and caused the “redshift” we see), and that rapid expansion is why there’s such a difference between the cosmic microwave background and the farthest galaxy. But the size of the Universe today is evidence of something else incredible: the incredible effects that the progression of time has. As time goes on, the Universe will continue to expand farther and farther, and by time it’s around ten times its current age, distances will have expanded so much that no galaxies beyond our local group will be visible, even with the equivalent of the Hubble Space Telescope. Enjoy all we can see today about the great variety of what’s present on all cosmic scales. It won’t be around forever!

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“Starts With A Bang! is a blog/video blog about cosmology, physics, astronomy, and anything else I find interesting enough to write about. I am a firm believer that the highest good in life is learning, and the greatest evil is willful ignorance. The goal of everything on this site is to help inform you about our world, how we came to be here, and to understand how it all works. As I write these pages for you, I hope to not only explain to you what we know, think, and believe, but how we know it, and why we draw the conclusions we do. It is my hope that you find this interesting, informative, and accessible,” says Ethan