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The Origin of the Universe According to M-Theory

Lucretius

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String Theorist Ed Witten first discovered m-Theory in 1995. He was able to mathematically demonstrate that the five string theories, thought to be totally different, were actually the same. They were all different ways of looking at the same thing. All that needed to be adjusted were “string coupling constants” (this is not important to our discussion so I will not explain it here.) Ed Witten, in showing that the five theories were actually different ways of looking at the same thing, showed that, when another component called 11-D Supergravity (11-D signifying 11 dimensions) was added, the natural result was a unified theory of everything called M-Theory. A natural question is: what does M-Theory mean? The answer you will hear most often is — no one knows. Reading Michio Kaku’s recent book Parallel Worlds, he seems to be sure it means ‘Membrane’, but other String Theorists are not so sure. Answers will vary — ‘mother’, ‘matrix’, ‘master’, some even say it’s an upside-down ‘W’, for Witten. Most think that when M-Theory is finally verified, the ‘M’ will be given a meaning.

What would a Theory of Everything do for us?

Right now, in physics, there is a great gap, currently unbridgeable, though the foundations are being laid for one. That is the gap between General Relativity and Quantum mechanics. General Relativity gives physicists a picture of the universe on it’s largest of scales, and how spacetime warps when there are massive bodies present in the universe. You can think of spacetime as a trampoline or a rubber sheet when discussing General Relativity. When you place a bowling ball, or other massive object on the sheet/trampoline, the sheet/trampoline bends, causing a curvature in the fabric of the sheet (spacetime). Spacetime according to General Relativity is smooth. Quantum mechanics however, gives us a radically different picture that not even Einstein would fully accept (ironically, he helped discover it.) Quantum mechanics discusses the universe on it’s smallest of scales, on distances where the universe obeys a totally foreign set of rules. Particles don’t have to be in one spot, they can be in two, or three, or infinitely many. Despite the fact that Quantum mechanics isn’t very understandable, even to those who study it for a living, it has been verified by countless experiments. So, why is there a gap? Well, in most parts of the universe, the two theories never run into one another. General Relativity leaves Quantum mechanics well enough alone, and vice versa. However, there are times, like at the Big Bang, as well as at the centers of Black Holes, where the input of both theories are necessary, but usually they give answers like infinity, which are a way of saying something is wrong.

What is needed is a quantum theory of gravity. The reason for a quantum theory of gravity is that gravity is the only force that cannot be described via quantum interaction, which means by particles or “quanta”. You see light because it is carried by photons, which are quanta of the Electromagnetic Force. The predicted quantum particle of gravity is called the graviton. Once we have this theory, we can get sensible answers of what went on during, or even before the Big Bang, as well as what goes on at the center of a black hole. Fortunately, M-Theory looks like a likely candidate as that theory of everything. Already it is giving us a new picture of space, time, and the nature of the universe. It has even provided us with an answer to an age-old question of where the universe came from. Though M-Theory is not currently testable, equipment is being produced that will be up and running within this decade that might be able to test some of the predictions made by M-Theory. As soon as 2020, physicists might even be able to detect the parallel universes posited by the theory.

False Vacuums and Ground States

To understand M-Theory’s idea in regards to the origin of the universe, we must understand a false vacuum and ground states. A false vacuum has some characteristics of a real vacuum, which is a ground state. A ground state is what every object will return to, given the chance. Imagine Homer Simpson with a really tight belt on. His stomach is in the state of a false vacuum, because if that belt were not there, his stomach would go to its ground state, which would be a real vacuum. Physicists think the same thing happened with our universe. Because of the extreme temperatures and densities predicted by today’s theories, the universe would be in a state of false vacuum. This false vacuum is what fueled the rapid expansion of space known today as ‘Inflation’. In Inflation the universe expanded rapidly, many times faster than the speed of light (this doesn’t violate Einstein’s theory because no information is transferred.) Inflation answered many problems that cosmologists ran into with the Big Bang Theory but it didn’t tell us where the universe came from.

Spacetime Foam, Virtual Particles, Wormholes and Bubble Universes

Another vital part to understanding M-Theory’s idea regarding the origin of the universe is that of spacetime foam. We learned before that General Relativity predicts the universe is smooth. However, there is a scale known as the Planck Length at which spacetime is no longer smooth. Instead, it is foamy. I always bring to mind an image of boiling water. In this spacetime foam, particles can come in and out of existence due to the uncertainty in the energy in this chaotic state. These particles are called virtual particles. Virtual particles always come in pairs, a particle and an anti-particle. During a tiny fraction of a second they are created, and then annihilate one another in a burst of energy. The presence of virtual particles has been verified by experiment, most notably the Casimir Effect. The Casimir Effect involves placing two metal plates very close to one another. Basically, because the virtual particles around them outnumber the ones in between, the plates get closer together by a very small amount, which increases the closer the plates get together. What is perhaps a more important result, at least when discussing M-Theory, is the idea of a wormhole.

When most people think of wormholes, they think of an object in space connecting two places in the same universe. However, a natural extension of this is a wormhole connecting one universe with another. The type of wormhole that would allow this, and could possibly be used, is known as a Lorentzian wormhole. Several things are conjectured about Lorentzian wormholes, but most importantly they require a strange substance called exotic matter. Unfortunately, due to M-Theory’s current lack of predictive power in this area, no one is sure whether or not exotic matter exists or not. Due to the chaotic nature of the spacetime foam, it is possible that space itself rips, forming a wormhole, which would then close itself. Blowing bubbles with that liquid soap, like most people did when they were a kid, would be a good way to visualize it. You blew on the soap, and a bubble totally separate from the liquid formed. The chaos caused on the soap when you blew on it is similar to the spacetime foam, and the resulting action of soap to bubble would be the wormhole. What is the bubble? Another universe. In fact, the Bubble Universe Theory is a natural extension of the Inflationary theory we discussed earlier. After the wormhole collapsed that created the bubble universe, the universe would be in a state of a false vacuum, due to its size (which would be practically none, because the wormhole that made it was quantum in the first place.) This would lead to the tendency towards the ground state of a real vacuum, resulting in the expansion of the universe. This universe would, more than likely, be radically different than ours. However, the notion that universes can and are forever spawning out of the multiverse is a key idea to the origin of our universe. Our universe could very well have been a 13.7 billion year old bubble in the spacetime foam of the multiverse.

What is the nature of the Multiverse?

The multiverse is thought to be composed of eleven spacetime dimensions. This means the universe you and I live in has more than the normal three space dimensions we experience. How can this be possible? The answer lies in the size of the spatial dimensions. The three space dimensions we know and love are huge, comprising the entire visible universe. The seven other foreigners however, are not so big, in fact, they are so small not even atoms can fit in them. However, objects called strings (which are really supposed to be particles, if you had an even more precise method to look at them) can vibrate in them. Take a ring that normally fits around your index finger and try to shove your fist inside of it. Won’t work? That’s like human beings as a whole trying to squeeze into the microscopic dimensions. However, your index finger can fit inside of it, much like the vibrations of strings can fit in the dimensions. The dimensions themselves are shaped like a circle, meaning anything within them simply goes around in circles. This means that when you and I walk around, we are essentially going through these microscopic dimensions trillions of times, but we never notice it because of their small size, and because they lead us right back where we came from. There is an overall shape to the extra spatial dimensions. Scientists and mathematicians call it a Calabi-Yau shape. I don’t understand the mathematics behind it, so I can’t really tell you how that exact shape was chosen.

(cont'd)
 

Lucretius

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(cont'd)

A natural question is why did the three spatial dimensions we know arise, whereas the other seven stayed microscopic in scale? One could resort to the anthropic principle if they wanted. Basically, any other spatial dimensions but three could not support life, and in the multiverse there very well could be universes with two dimensions or four, or any number, but none would support life. Our universe could be said to have three spatial dimensions because if it didn’t, we wouldn’t be here. I for one do not like this explanation, and fortunately, there is one that uses physics and math, two things I do like. To understand it, one must remember that M-Theory involves strings. For every string there is an anti-string (which has a oscillatory pattern that would directly cancel out a certain strings vibration.) Now, when strings move throughout space they leave a trail known as a worldsheet. A worldsheet can be pictured as a tube, and anything inside that tube is trapped. It can’t move. It can’t expand. So, naturally, the dimensions inside the tube cannot expand. There is an exception though. When a string and anti-string collide they annihilate one another, this would allow anything inside of them to expand, because there would no longer be a worldsheet to trap it. This is where abstract mathematics comes into play. String theorists have found that if there are one or two dimensions, as well as four or more dimensions, the strings and anti-strings have a very low chance of collision. However, with three dimensions, the likelihood of strings and anti-strings colliding are quite high. Based on probability, it was much more likely that our universe would have three dimensions. If M-Theory is right, the universe and the multiverse have many more space dimensions than meet the eye.

The multiverse is said to be a false vacuum in it’s own, and it has yet to reach its own ground state. It is eternal, and within the multiverse, universes spawn off of others endlessly. Into what do universes spawn? Nothing. The multiverse cannot be pictured as a balloon expanding into air. There is nothing analogous to the air. There is no space into which a universe would expand. What then would restrict the creation of new universes? Nothing.

A Recap

So our universe is simply one of many in the multiverse. Its origin, if M-Theory is indeed correct, is that the spacetime foam of an earlier universe allowed a wormhole to begin. This wormhole cut itself off from the original universe, spawning a bubble universe. Within the first few billionths of a billionth of a second of its existence, it was in the state of a false vacuum. Inflation took over and it rapidly expanded, achieving its ground state. Our whole universe then, was spawned from another universe, which was spawned from another — ad infinitum.

Another M-Theory possibility

There is another possibility raised by M-Theory, which results from two objects known as p-branes. P-branes (membranes) are simply objects of p dimensions. Spatially, we verifiably live in a 3-brane (3 dimensions.) Branes can be thought of as objects floating in higher dimensional space (the multiverse.) Our universe could then very well be the result of two p-branes colliding. In this collision, large amounts of matter and energy would be exchanged. We would see this extreme collision as the Big Bang. The reason I did not write much about this theory is that I don’t know much about it. Besides, I like bubbles and wormholes more!

Resources
http://en.wikipedia.org/wiki/M-theory
http://en.wikipedia.org/wiki/Bubble_universe_theory
http://en.wikipedia.org/wiki/Big_Bang
http://en.wikipedia.org/wiki/Wormhole
http://en.wikipedia.org/wiki/False_vacuum
Parallel Worlds by Michio Kaku
Fabric of the Cosmos Brian Greene
The Elegant Universe Brian Greene
 
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revolutio

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random_guy said:
Just wondering, how far away, or will it ever be possible to test for some of this stuff?
M-theory in particular or the origin of the universe? We are a ways off from being able to adequately test M-theory, but we have a gigantic amount of information about the universe's origins.
 
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Lucretius

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random_guy said:
Just wondering, how far away, or will it ever be possible to test for some of this stuff?

M-Theory predicts that gravity is weak because it is the only fundamental force that can travel between branes (our universe and others). Perhaps LISA the gravity wave detector expected to come up in 2020 can detect this. Also, fine-tuning our instruments to be able to indirectly detect Planck-lenthh objects will be very helpful to M-Theory.

Then again, finding a non-perburtative method for M-Theory (one that does not rely on approximations) will always help, so that exact predictions can be tested.
 
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