What Are Supernumerary Dimensions and Their Role in LQG Theory?

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SUMMARY

Supernumerary dimensions play a crucial role in Loop Quantum Gravity (LQG) theory by allowing gravity to escape the confines of a D-brane, while other fundamental interactions remain fixed to it. The discussion highlights two primary models: one where our universe is a D-brane with gravity as a closed string (graviton) able to traverse additional dimensions, and another based on the Randall-Sundrum model, which posits two parallel 3-dimensional branes within a 5-dimensional spacetime. These frameworks explain the relative weakness of gravitational force compared to other fundamental forces.

PREREQUISITES
  • Understanding of Loop Quantum Gravity (LQG)
  • Familiarity with D-branes and string theory
  • Knowledge of the Randall-Sundrum model
  • Basic concepts of higher-dimensional spacetime
NEXT STEPS
  • Research the implications of supernumerary dimensions in quantum gravity theories
  • Study the mechanics of D-branes in string theory
  • Explore the Randall-Sundrum model in detail
  • Investigate the differences between open and closed strings in theoretical physics
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and students of advanced physics interested in the intersections of string theory and quantum gravity, particularly those focusing on the implications of higher dimensions in gravitational theories.

Sauron
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I have readed a bit about them in an interview to Lisa Randall.


I have an idea of what they are. But don´t know the detaills of how it is working. That is, they implment the idea of supernumerary dimensios because only gravity can leave the brane (a d-brane if i am not wrong) while the other interactions are fixed to kee in the brane.

But i would like to know it in more detaill. I didn´t find a good exposition (in fact no exposition) avaiable in line. So in if somene (Jeff?) knows it i would acknowledege a lot if he could give here an explanation. Or at least point a good review.


T.I.A.

P.S. AS you can see althought my preferred theory is LQG i keep open minded to advances in alternative aproximation to QG, as string theory
 
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I don't know very much about the subject, but seems that there are two approaches to solve the problem of gravitation
In one model our universe is a D-brane, and particles with spin -1 are open strings with its ends glued to the D-brane. The graviton,has spin-2, is a close string and is not glued to the D-brane, and somehow can travel to other dimensions, this is why gravitation is so feeble
The other model, the Randall-Sundrum model consist in that our universe is 3-dimensional brane that is parallel to another 3-dimensional brane. This two branes are inside a 5-dimensional spacetime (the bulk). Gravity resides in the other brane, so it has a weak effect in our brane
 

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