Coin said:Hopefully someone who knows more than I do can take a crack at this, but i'll do my best:
- I don't know what string field theory is.
- M-Theory is a generalization of string theory. Exactly in what way it's generalized is often a little bit vague but the primary differences seem to be that M-Theory is 11-dimensional whereas superstring theory is 10-dimensional, and string theory contains only strings (vibrating 1-dimensional objects) whereas M-theory also contains "branes" (vibrating 2-dimensional, 3-dimensional, 4-dimensional and so on objects). (I've heard it claimed that all of M-Theory can be derived from formulating supergravity in 11 dimensions but how exactly this works confuses me.)
The problem with M-Theory is that nobody knows what it is. They basically have a description of what M-Theory looks like but they've never fully formulated it. However there are very strong reasons to believe a theory that fits the M-Theory description exists. The neat thing about M-theory is that we know that if we find M-Theory, all of the old string theories will exist inside of it-- as I understand it there are several different types of traditional string theory, and M-Theory can "act like" any of these different string theories depending on how you configure your branes. In other words string theories are really just special cases of M-theory.
- String theory is not a Grand Unified Theory.
"Grand Unified Theory" is a very specific term referring to any theory that includes the idea that the fundamental forces all merge into a single force at a high enough energy scale.
A big thing in modern physics is to describe forces using their symmetry groups. Theories that do this are called "gauge theories" or "yang-mills theories". A long time ago people figured out that if you do this, you can describe the electromagnetic and weak-nuclear forces as really the same force-- the electromagnetic and weak-nuclear forces share a single big symmetry group, but the symmetry is broken so that it looks like two asymmetrical forces. The standard model of particle physics depends on this idea and the Large Hadron Collider is expected to test whether it is true.
Once people realized this, they started wondering if they could repeat the trick, and combine the electromagnetic, weak-nuclear, and strong forces into one single huge symmetry group. Theories that do this are called "Grand Unified Theories". This was a big deal in the 70s and 80s. However although the idea is really neat, it turned out to have a lot of problems. "GUT"s predict a lot of weird things, like magnetic monopoles and proton decay, that don't exist in nature. It is no longer widely expected that the true theory of everything will be a GUT.
Both M-Theory and vanilla string theory are unification theories in the sense that they explain all four fundamental forces (including gravity) using a single underlying fundamental process (the string). But they are not really Grand Unified Theories because they do not suggest that all of these forces share a single yang-mills symmetry group, or that they merge at high energies. Wikipedia's page on GUTs describes string and m- theory as "Not quite GUTs".
Wikipedia does suggest that you could accurately describe string and m- theory as "Unified Field Theories".
Englishman said:I know string theory and M-theory are not the Grand Unified Theory. And the Grand Unified Theory I was talking about is not just any Grand Unified Theory; it is the one that will unify General Relativity and Quantum Mechanics.
Englishman said:I know about string theory, but have heard that string theory is part of the bigger scheme of string field theory, which I think is part of the bigger scheme of M-theory, which is part of the bigger scheme of the Grand Unified Theory. Are my speculations correct, and how long will the Grand Unified Theory take to be completed?
Well, I have read Richard Wolfson's book, Simply Einstein: Relativity Demystified, and it says that the "unification" of general relativity and quantum mechanics is the Grand Unified Theory, and that it would be called the Theory of Everything.nrqed said:What Coin was explaining was that the term "Grand Unified Theory" is generally NOT used to talk about the unification of GR and quantum mechanics!
GUT refer to unifying the other three forces (weak, Strong and E&M) of nature as a single force.
"Unifying GR and quantum mechanics" as you say is just what people call finding a theory of quantum gravity, which does not involve "unification" of the forces. The word "unification" usually refers to uifying *forces*.
String theory does more than all of that...it offers a way to quantize gravity AND to unify all the forces of nature and this is sometimes referred as a "TOE", a theory of everything.
Coin said:Hopefully someone who knows more than I do can take a crack at this, but i'll do my best:
- I don't know what string field theory is.
- M-Theory is a generalization of string theory. Exactly in what way it's generalized is often a little bit vague but the primary differences seem to be that M-Theory is 11-dimensional whereas superstring theory is 10-dimensional, and string theory contains only strings (vibrating 1-dimensional objects) whereas M-theory also contains "branes" (vibrating 2-dimensional, 3-dimensional, 4-dimensional and so on objects). (I've heard it claimed that all of M-Theory can be derived from formulating supergravity in 11 dimensions but how exactly this works confuses me.)
Englishman said:Well, I have read Richard Wolfson's book, Simply Einstein: Relativity Demystified, that the "unification" of general relativity and quantum mechanics is the Grand Unified Theory, and that it would be called the Theory of Everything.
nrqed said:In a popular book it is possible that he might have used the term "quantum mechanics" in a different way than what is used in research. I have seen some popular treatment using "quantum mechanics" to actually refer to the quantization of all the other three forces. But if you talk to anyone doing reserach in the field they would probably not use that language. But fair enough.
and again, GUT can be used to mean different things but people in the field usually mean what Coin wrote: putting all the fields of the Standard Model in one gauge group like SU(5) or SO(10).
Again, it's a question of semantics. Coin and I are simply using more the language of the people doing research in the field but I can see how a popular book may cut corners and use a much less careful language.
Englishman said:I see. You are saying that, perhaps, in an attempt to write for the masses, that Richard Wolfson has used language somewhat inconsistent with the actual language used in the field?
happyprof said:I think a read of Lisa Randall's "Warped Passages" might give you some unifying thought. Things are changing so rapidly and, in some circles, the spiritual and scientific thoughts are getting mixed up (or are they?). for the longest time we have relied upon our most historically important tools: Socration, Platonic and Aristotelean logics. I think to find out anything more than neat models every few days or so, we will have to find a new way, or new ways, of thinking. I don't know what it/they are.
nrqed said:The entire post is quite good. Just one small correction: it's not that M theory should be "derivable" from M theory. It's the opposite. 11D supergravity is the low energy limit of M theory.
humanino said:It is worth mentioning that some people argue, quantum gravity requires GUT on physical grounds.
The idea is that new physics occurs at a given scale. You expect new physics for EW-strong unification at a scale below quantum gravity. Therefore, attempting to quantize gravity before knowing what happens at all may be doomed to fail.Coin said:This is very interesting, can you vaguely explain the grounds for this argument?
String Field Theory is a theoretical framework that aims to reconcile quantum mechanics and general relativity by describing all fundamental particles as tiny strings rather than point-like particles. It is considered a leading candidate for a "theory of everything" or a Grand Unified Theory.
Unlike traditional theories, String Field Theory proposes that everything in the universe, from the smallest subatomic particles to the largest structures, is made up of vibrating strings. This allows for a unified description of all fundamental forces and particles, including gravity.
While there is currently no direct evidence for String Field Theory, it is a mathematically consistent theory that has successfully predicted many phenomena in particle physics and cosmology. It is also able to solve some of the problems that arise in other theories, such as the incompatibility between quantum mechanics and general relativity.
If String Field Theory is confirmed, it could lead to a deeper understanding of the universe and potentially revolutionize our understanding of space, time, and matter. It could also have practical applications, such as improving our ability to manipulate and control matter at the subatomic level.
Some criticisms of String Field Theory include its complexity and lack of experimental evidence. It also requires extra dimensions beyond the 3 dimensions of space and 1 dimension of time, which some find difficult to conceptualize. Additionally, some argue that the theory is too flexible and has the potential to produce an infinite number of solutions, making it difficult to test and validate.