From Ethan Siegel: “Why Haven’t We Bumped Into Another Universe Yet?”

From Ethan Siegel
Feb 24, 2018

The multiverse idea states that there are an arbitrarily large number of Universes like our own, but that doesn’t necessarily mean there’s another version of us out there, and it certainly doesn’t mean there’s any chance of running into an alternate version of yourself… or anything from another Universe at all. Lee Davy / flickr.

The Universe we inhabit is vast, full of matter and energy, and expanding at a tremendous clip. Looking billions of light years away, we can see billions of years into our ancient past, finding evidence of newly-forming planets, stars, and galaxies. We’ve seen so far back that we’ve identified clouds of gas that have never yet formed a single star, and found galaxies from when the Universe was only 3% of its current age. Most spectacularly, we can actually see the leftover glow from the Big Bang, from a time when the Universe was a mere 380,000 years old. Yet in all of this cosmic enormity, we’ve never found evidence that our Universe has bumped into another one in this vast Multiverse. Why not? That’s what Rod Russo wants to know:

“If the Multiverse Theory is true, shouldn’t our expanding universe have bumped into another universe by now? After all, our universe is now so large that some describe it as “infinite” in size.”

This is not only what logic dictates, it’s what no less an authority than Roger Penrose has claimed. But Penrose — and conventional wisdom — are both wrong here. Our Universe is, and should be, isolated and alone in the Multiverse.

Artist’s logarithmic scale conception of the observable universe. Note that we’re limited in how far we can see back by the amount of time that’s occurred since the hot Big Bang: 13.8 billion years, or (including the expansion of the Universe) 46 billion light years. Anyone living in our Universe, at any location, would see almost exactly the same thing from their vantage point. Wikipedia user Pablo Carlos Budassi.

Although there’s a lot of hype and controversy surrounding it, there’s an extremely strong physical motivation for the existence of the Multiverse. If you combine two of our leading ideas about how the Universe works, cosmic inflation and quantum physics, it’s all but inescapable that we’ll conclude that our Universe resides in a Multiverse. Coming along for the ride is another conclusion: that every single Universe that gets created — that every hot Big Bang that ensues — is immediately and forever causally disconnected from all the others, eternally into the future. Here’s how that happens, and here’s how we know.

The expanding Universe, full of galaxies and the complex structure we observe today, arose from a smaller, hotter, denser, more uniform state. But what lies outside the observable Universe, by definition, cannot be observed. C. Faucher-Giguère, A. Lidz, and L. Hernquist, Science 319, 5859 (47).

Cosmic inflation came about as an add-on to the Big Bang, successfully providing a mechanism for explaining why it began with certain conditions.

Alan Guth, Highland Park High School and M.I.T., who first proposed cosmic inflation


Lambda-Cold Dark Matter, Accelerated Expansion of the Universe, Big Bang-Inflation (timeline of the universe) Date 2010 Credit: Alex MittelmannColdcreation

Alan Guth’s notes:

In particular, inflation provided answer to the questions of:

why the Universe was the same temperature everywhere,
why it was so spatially flat,
and why there were no leftover high-energy relics like magnetic monopoles,

while simultaneously making new predictions that could be tested. These predictions included a specific spectrum for the density fluctuations the Universe was born with, a maximum temperature that the Universe achieved in the early stages of the hot Big Bang, the existence of fluctuations on scales larger than the cosmic horizon, and a particular spectrum of gravitational wave fluctuations. All of these, except the very last, have since been observationally confirmed.

Inflation set up the hot Big Bang and gave rise to the observable Universe we have access to, but we can only measure the last tiny fraction of a second of inflation’s impact on our Universe. This is enough, however, to give us a large slew of predictions to go out an look for, many of which have already been observationally confirmed. E. Siegel, with images derived from ESA/Planck and the DoE/NASA/ NSF interagency task force on CMB research

What cosmic inflation is, exactly, is a period prior [?*] to the Big Bang where the Universe is dominated by the energy inherent to space itself. Unlike today, where the value of dark energy is extremely small, inflation posits that it was extremely large: larger by far than even the energy density when the Universe was full of matter and radiation in the extremely hot, early stages after the Big Bang. Since the expansion was dominated by the energy inherent to space, the rate of expansion was exponential, meaning that new space was continuously and rapidly created. If the Universe doubled in size after a certain amount of time, then after ten times that amount of time passed, it’d be 210, or over 1000, times as large in all dimensions. In extremely short order, any non-flat, matter-containing region of space would become indistinguishable from flat, and would have all the matter particles inflated away so that no two would ever meet.

Inflation causes space to expand exponentially, which can very quickly result in any pre-existing curved space appearing flat. E. Siegel (L); Ned Wright’s cosmology tutorial (R).

On the other hand, inflation must come to an end at some point. The energy inherent to space cannot remain there forever, otherwise the Big Bang never would have occurred [?*], and the Universe as we know it would never have come to be. Somehow, that energy needs to get transferred from the fabric of space itself and dumped into matter and radiation. A nice way to visualize this is to view inflation as a field that occurs when a ball is at the top of a hill. As long as the ball remains up high, inflation, and this exponential expansion, continues. But in order for inflation to end, whatever quantum field is responsible for it has to roll from the high-energy, unstable state that drives inflation down into a low-energy, equilibrium state. That transition, and “rolling” down into the valley, is what causes inflation to come to an end, and create the hot Big Bang.

When cosmic inflation occurs, the energy inherent in space is large, as it is at the top of this hill. As the ball rolls down into the valley, that energy converts into particles. E. Siegel.

But here’s the kicker: what I just described is how a classical field works, but we just said that inflation has to be, like all physical fields, an inherently quantum one. Like all quantum fields, it’s described by a wavefunction, with the probability of that wave spreading out over time. If the value of the field is rolling slowly-enough down the hill, then the quantum spreading of the wavefunction will be faster than the roll, meaning that it’s possible — even probable — for inflation to wind up farther away from ending and giving rise to a Big Bang as time goes on.

If inflation is a quantum field, then the field value spreads out over time, with different regions of space taking different realizations of the field value. In many regions, the field value will wind up in the bottom of the valley, ending inflation, but in many more, inflation will continue, arbitrarily far into the future. E. Siegel / Beyond The Galaxy.

Because space is expanding at an exponential rate during inflation, this means that exponentially more regions of space are being created as time goes on. The thing is, inflation isn’t compelled to end everywhere at once; different regions will see the value of their quantum fields spread out by different amounts and in different directions over time! In a few regions, inflation will come to an end, as long as the field rolls down into the valley. But in others, inflation will continue on, giving rise to more and more space, where it continues to expand exponentially.

Wherever inflation occurs (blue cubes), it gives rise to exponentially more regions of space with each step forward in time. Even if there are many cubes where inflation ends (red Xs), there are far more regions where inflation will continue on into the future. The fact that this never comes to an end is what makes inflation ‘eternal’ once it begins. E. Siegel / Beyond The Galaxy.

This is where the phenomenon known as eternal inflation, and the idea of a multiverse, comes from. Where inflation ends, we get a hot Big Bang and a Universe — of which we can observe part of the one we’re in — very much like our own. (Denoted by the red “X” above.) But surrounding each of those regions where a hot Big Bang occurs is one where inflation doesn’t end, and the exponential expansion continues. In those regions, more inflating space is produced, driving apart the regions where inflation ended at a faster rate than they’re capable of expanding at. This gives rise to other regions that will have hot Big Bangs, but each and every one of them will be causally disconnected from our own, at the moment of the hot Big Bang and forever into the future.

If you picture the Multiverse as an enormous ocean, you can picture the individual Universes where a hot Big Bang occurs as little bubbles appearing in it. The bubbles, like real air bubbles that rise from the bottom of the ocean, will expand as time goes on, just as our own Universe is expanding. But unlike the liquid water of the ocean, the “ocean” of inflating spacetime keeps on expanding at a faster rate than the bubbles themselves can ever expand. As long as the space between them continues to inflate, and inflation predicts they will for an eternity, no two bubbles should ever collide. Unlike the boiling water on your stove, the bubbles don’t percolate.

It would be an enormous surprise that runs counter to inflation and quantum theory’s predictions if any two Universes ever did collide. While bubble-wall collisions might leave a telltale sign on our Universe, we’ve examined the leftover glow from the Big Bang in gory detail, and no evidence for such a collision exists. Thankfully for our most robust theories of the early Universe, this is exactly in line with what’s been predicted. The reason we don’t see evidence for our Universe colliding with another is because our Universe has never collided with another one, just as our leading theories predict. Anyone who tells you otherwise has got some serious explaining to do.

*I question Siegel’s assertion that inflation occurred prior to the Big Bang. I have never seen that and Alan Guth did not see that. From Wikipedia:

“In physical cosmology, cosmic inflation, cosmological inflation, or just inflation, is a theory of exponential expansion of space in the early universe. The inflationary epoch lasted from 10−36 seconds after the conjectured Big Bang singularity to sometime between 10^−33 and 10^−32 seconds after the singularity. Following the inflationary period, the Universe continues to expand, but at a less rapid rate…As a junior particle physicist, [Alan] Guth developed the idea of cosmic inflation in 1979 at Cornell and gave his first seminar on the subject in January 1980.Moving on to Stanford University Guth formally proposed the idea of cosmic inflation in 1981, the idea that the nascent universe passed through a phase of exponential expansion that was driven by a positive vacuum energy density (negative vacuum pressure). The results of the WMAP mission in 2006 made the case for cosmic inflation very compelling.”

I mean really, Ethan, how can you post inflation prior to the Big Bang? I have seen no one posit this before.

See the full article here .

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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