Could bosonic strings be a kind of projective space of m-theory?

In summary, some people believe that you can compactify bosonic string theory and get a theory called M theory. Has anyone heard or thought about this? How would this work?
  • #1
MTd2
Gold Member
2,028
25
Just like you can create the ilusion of superluminal motion by projecting a flashlight into a wall, some strings would be projected into tachyons. Has anyone heard or thought about that?
 
Physics news on Phys.org
  • #2
How would this work?

The theories live in different space-time dimensions.
 
  • #3
BenTheMan said:
The theories live in different space-time dimensions.

That's why I am saying projections. Hmm, I guess it would be better if I say compactifications on some kind of projective space.
 
  • #4
Ahh I see.

So you want to compactify 15 of the 26 dimensions of bosonic string theory and get M theory?
 
  • #5
I think that would not be good, though because it would say that bosonic string theory is more fundamental that Mtheory, which we know is probably not true.

I'd be willing to bet it doesn't work. You'd have to explain why Mtheory knows about SUSY and bosonic string theory doesn't. You'd have to explain what happens to the tachyon (it could get projected out, but who knows?).
 
  • #6
Quite the contrary. Susy is another motivation, that's why I am said m-theory. Do you know any case of getting non commutative spinors from the compactification of bosonic fields?
 
  • #7
Why is SUSY a motivation?
 
  • #8
I'd like to see if it is possible to explain the fermions by geometric means, instead of just being a field on the worldsheet.
 
  • #9
BenTheMan said:
So you want to compactify 15 of the 26 dimensions of bosonic string theory and get M theory?

Or better yet, fiber a 16-dimensional projective space over an 11-dimensional M-theory base.

arXiv: 0909.4737
 
  • #10
MTd2 said:
I'd like to see if it is possible to explain the fermions by geometric means, instead of just being a field on the worldsheet.

Yep, that goes under the name "spin from isospin" and can lead to spin 1/2 modes in monopole backgrounds. That goes back to work of Jackiw and Rebbi in the 70s.

And there was even an attempt to make use of this in the bosonic string, back in the eigthies, by Englert, Nicolai & Co. The aim was to get the heterotic string rather than M-Theory. This makes much more sense, not only because M-Theory is a strong coupling limit without world-sheet formulation. The point is that 26-10=16, which would allow to obtain the E8xE8 or SO(32) gauge symmetries by compactification on an 16 dimensional self-dual lattice.

But all attempts, AFAIK, never got further then purely kinematical or group theoretical reasonings. I remember that there was some revived interest in this more recently, but again, I don't think anything concrete ever got out from that idea - so far.
 

Related to Could bosonic strings be a kind of projective space of m-theory?

1. What are bosonic strings?

Bosonic strings are theoretical objects in string theory that are one-dimensional objects with no thickness, but rather exist as vibrations or excitations of energy in space-time.

2. What is m-theory?

M-theory is a theoretical framework in physics that attempts to unify the five different superstring theories into one overarching theory. It is a proposed theory of everything that attempts to explain the fundamental nature of our universe.

3. How are bosonic strings related to projective spaces?

Bosonic strings are hypothesized to exist in a ten-dimensional space, and this dimensionality is described by a mathematical concept called projective spaces. This is a mathematical tool that helps to visualize and understand the properties of bosonic strings.

4. Can bosonic strings be considered a projective space in m-theory?

It is currently a topic of debate among physicists whether bosonic strings can be considered a projective space in m-theory. Some theories suggest that bosonic strings are a projection of higher-dimensional objects in m-theory, while others propose that bosonic strings exist independently as a type of projective space in m-theory.

5. What are the implications of bosonic strings being a projective space in m-theory?

If bosonic strings are indeed a projective space in m-theory, it could have significant implications for our understanding of the fundamental nature of our universe. It could help to bridge the gap between quantum mechanics and gravity, and provide new insights into the behavior of particles and energy at the smallest scales.

Similar threads

  • Beyond the Standard Models
Replies
26
Views
985
  • Beyond the Standard Models
Replies
31
Views
2K
  • Beyond the Standard Models
Replies
1
Views
1K
  • Beyond the Standard Models
Replies
0
Views
1K
  • Beyond the Standard Models
Replies
9
Views
2K
  • Beyond the Standard Models
Replies
3
Views
2K
  • Beyond the Standard Models
Replies
13
Views
2K
Replies
2
Views
1K
Replies
47
Views
4K
  • Beyond the Standard Models
Replies
1
Views
2K
Back
Top