Below is reposted in full a very informative piece in Forbes.com (yes, Forbes) about inflationary cosmology and how that strongly suggests the existence of an infinite multiverse.
I've posted the same images from that article but I've flipped some of them sideways and, in a few places, broken up the paragraphs for formatting purposes.
The Multiverse Is Inevitable, And We're Living In It
By Ethan Siegel, Contributor
October 12, 2017
Caption: An illustration of multiple, independent Universes, causally disconnected from one another in an ever-expanding cosmic ocean, is one depiction of the Multiverse idea.
Imagine that the Universe we observe, from end-to-end, is just a drop in the cosmic ocean. That beyond what we can see, there's more space, more stars, more galaxies, and more everything, for perhaps countless billions of light years farther than we'll ever be able to access. And that as large as the unobservable Universe is, that there are again innumerably more Universes just like it -- some larger and older, some smaller and younger -- dotted throughout an even larger spacetime. As rapidly and inevitably as these Universes expand, the spacetime containing them expands even more quickly, driving them apart from one another, and ensuring that no two Universes will ever meet. It sounds like a fantasy picture: the scientific idea of a Multiverse. But if the science we accept today is correct, it's not only a valid idea, it's an unavoidable consequence of our fundamental laws.
Caption: 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.
The idea of the Multiverse has its roots in the physics required to describe the Universe that we see and inhabit today. Everywhere we look in the sky, we see stars and galaxies, clustered together in a great cosmic web. But the farther away in space we look, the farther back in time we look as well. The more distant galaxies are younger, and hence less evolved. Their stars have fewer heavy elements in them, they appear smaller as fewer mergers have happened, there are more spirals and fewer ellipticals (which take time to form from mergers), and so on. If we go all the way to the limits of what we can see, we find the very earliest stars in the Universe, and then a region of darkness beyond that, where the only light is the leftover glow from the Big Bang.
Caption: Looking out at more and more distant objects in the Universe reveals them to us as they were farther back in time, going all the way back to before there were atoms, all the way to the Big Bang.
But the Big Bang itself -- occurring everywhere at once some 13.8 billion years ago - wasn’t the start of space and time, but rather the start of our observable Universe. Before that, there was an epoch known as cosmic inflation, where space itself expanded exponentially, full of energy inherent to the fabric of spacetime. Cosmic inflation is itself an example of a theory that came along and superseded the one that came before it, in that it:
1. Was consistent with all the successes of the Big Bang and encompassed all of modern cosmology.
2. Explained a number of problems that the Big Bang couldn't address, including 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.
3. And it made many distinct new predictions that could be tested observationally, most of which have been confirmed.
There’s also, however, one consequence that inflation predicts that we do not know whether we can confirm or not: the Multiverse.
Caption: Inflation causes space to expand exponentially, which can very quickly result in any pre-existing curved space appearing flat.
The way inflation works is by causing space to expand at an exponential rate. This takes whatever existed before the hot Big Bang and made it much, much, much larger than it was previously.
So far, so good: this explains how we get such a uniform, large Universe. When inflation ends, that Universe gets filled with matter and radiation, which is what we see as the hot Big Bang.
But here’s where it gets weird.
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.
Caption: If inflation were a classical field, you'd get inflation for as long as the field value remained large, but as it got smaller by, say, rolling into the valley below, inflation would come to an end and reheat the Universe.
But whatever field is responsible for inflation, like all other fields that obey the laws of physics, must be an inherently quantum field in nature. 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.
Caption: 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.
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. In a few regions, inflation will come to an end: where the field rolls down into the valley. But in others, inflation will continue on, giving rise to more and more space surrounding each and every region where inflation ends. The rate of inflation is far more rapid than even the maximum rate of expansion of a matter-and-energy-filled Universe, so in very short order, the inflating parts take over everything. According to the viable mechanisms that give us enough inflation to produce the Universe we see, there are many more regions of space surrounding our own -- where inflation did end -- where inflation doesn't end right away.
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.
This is where the phenomenon known as eternal inflation 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 where inflation doesn’t end, that produces more inflating space, which gives rise to some regions that will have hot Big Bangs causally disconnected from our own, and other regions that will continue to inflate. And so on.
Caption: As vast as our observable Universe is and as much as we can see, it’s only a tiny fraction of what must be out there.
This picture, of huge Universes, far bigger than the meager part that's observable to us, constantly being created across this exponentially inflating space, is what the Multiverse is all about.
It's important to recognize that the Multiverse is not a scientific theory on its own. It makes no predictions for any observable phenomena that we can access from within our own pocket of existence.
Rather, the Multiverse is a theoretical prediction that comes out of the laws of physics as they’re best understood today. It’s perhaps even an inevitable consequence of those laws: if you have an inflationary Universe governed by quantum physics, this is something you’re pretty much destined to wind up with.
Caption: While many independent Universes are predicted to be created in an inflating spacetime, inflation never ends everywhere at once, but rather only in distinct, independent areas separated by space that continues to inflate. This is where the scientific motivation for a Multiverse comes from.
It's possible that our understanding of the state before the hot Big Bang is incorrect, and that our ideas about inflation are completely wrong for this application.
If that's the case, then the existence of a Multiverse isn't a foregone conclusion. But the prediction of an eternally inflating state, where an uncountably large number of pocket Universes are continuously born and driven inextricably apart from one another, is a direct consequence of our best current theories, if they're correct.
What is the Multiverse, then? It may go well beyond physics, and be the first physically motivated "metaphysics" we've ever encountered. For the first time, we’re understanding the limits of what our Universe can teach us. There is information we need, but that we'll never obtain, in order to elevate this into the realm of testable science. Until then, we can predict, but neither verify nor refute, the fact that our Universe is just one small part of a far grander realm: the Multiverse.
Astrophysicist and author Ethan Siegel is the founder and primary writer of Starts With A Bang! His books, Treknology and Beyond The Galaxy, are available wherever books are sold.
So, as I understand it, if this is true, then the Multiverse is an infinity of universes. Put another way, the multiverse is an infinity of self-replicating, inflationary infinities. Perhaps we can think of it as the neural network in the Mind of God.
And on that note, I think I will end that's all for now. It's late and I need to go to sleep.