Is the Randall-Sundrum model background independent?

In summary: No, RS models are inspired by string theory but are logically independent on it. As models they are background dependent, even if the underlying more fundamental theory (string theory or whatever) is background independent.
  • #1
Suekdccia
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TL;DR Summary
Is Randall-Sundrum model background independent?
Randall-Sundrum model (https://en.wikipedia.org/wiki/Randall–Sundrum_model) is related to string theory.

String theory can be background independent (https://en.wikipedia.org/wiki/Background_independence):

"String theory is usually formulated with perturbation theory around a fixed background. While it is possible that the theory defined this way is locally background-invariant, if so, it is not manifest, and it is not clear what the exact meaning is. One attempt to formulate string theory in a manifestly background-independent fashion is string field theory, but little progress has been made in understanding it.
Another approach is the conjectured, but yet unproven AdS/CFT duality"

Since some "types" of Randall-Sundrum models have been useful to understand AdS/CFT, can they be background independent as well?

Also, are there any "types" of Randall-Sundrum models that are completely independent from string theory? That could possibly be right even if string theory is wrong?

And finally, can we build Randall-Sundrum models that can represent any type of theory/mathematical structure (similar to what happens with holographic principle)?
 
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  • #2
RS models are inspired by string theory but are logically independent on it. As models they are background dependent, even if the underlying more fundamental theory (string theory or whatever) is background independent.
 
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  • #3
How would one formulate a background independent formulation of string theory via AdS/CFT? I mean, it already contains the word "AdS": It's formulated on a certain background.
 
  • #4
Demystifier said:
RS models are inspired by string theory but are logically independent on it. As models they are background dependent, even if the underlying more fundamental theory (string theory or whatever) is background independent.

Thank you for your answer

And in that case, could we have Randall-Sundrum models completely based on string theory? 8I suspect the case is yes, but I would need confirmation)

Also, can we build Randall-Sundrum models that can represent any type of theory/mathematical structure?
 
  • #5
Suekdccia said:
And in that case, could we have Randall-Sundrum models completely based on string theory?
What do you mean by "completely"?

Suekdccia said:
Also, can we build Randall-Sundrum models that can represent any type of theory/mathematical structure?
What do you mean by "any"?
 
  • #6
Demystifier said:
What do you mean by "completely"?

What do you mean by "any"?

1. I heard that there are various Randall-Sundrum models. I was wondering if we could build a model like this but solely based on string theory. A Randall-Sundrum model fundamentally based in strings and string theory?

2. Are you familiar with Tegmark's Mathematical Universe Hypothesis? (https://en.wikipedia.org/wiki/Mathematical_universe_hypothesis). It proposes that every single mathematical structure and model in physics exists physically

I was wondering whether we could build Randall-Sundrum models that could represent any theory and model in mathematics and physics (a model based on string theory, another in inflation, another standard cosmology, another containing "n" dimensions...etc)
 

FAQ: Is the Randall-Sundrum model background independent?

1. What is the Randall-Sundrum model?

The Randall-Sundrum model is a theoretical framework proposed by physicists Lisa Randall and Raman Sundrum in 1999 to explain the hierarchy problem in particle physics. It suggests that our universe may have more than three spatial dimensions, with the extra dimensions being "curled up" or compactified in a way that is not visible to us. This model also proposes a new mechanism for generating the masses of particles, which could potentially solve the hierarchy problem.

2. What is background independence?

Background independence is a concept in physics that refers to the idea that the laws of nature should not depend on any fixed background structure, such as a specific spacetime geometry. In other words, the laws of physics should be the same regardless of the reference frame or coordinate system used to describe them. This is a fundamental principle in general relativity and other theories of gravity.

3. How does the Randall-Sundrum model address background independence?

The Randall-Sundrum model is considered to be background independent because it does not rely on a fixed background spacetime geometry. Instead, it allows for the existence of extra dimensions that are not constrained by a specific geometry. This means that the model is not dependent on a particular background structure and is consistent with the principle of background independence.

4. What evidence supports the Randall-Sundrum model?

Currently, there is no direct experimental evidence for the Randall-Sundrum model. However, the model has been studied extensively in theoretical physics and has been shown to be consistent with a wide range of observations, including the hierarchy problem and the observed strength of gravity. Some predictions of the model, such as the existence of Kaluza-Klein particles, could potentially be tested in future experiments.

5. Are there any limitations or criticisms of the Randall-Sundrum model?

Like any scientific theory, the Randall-Sundrum model has its limitations and has been subject to criticism. Some criticisms include the lack of experimental evidence, the complexity of the model, and the fact that it is not yet fully incorporated into a complete theory of quantum gravity. Additionally, some argue that the model does not fully address the hierarchy problem and may require additional modifications to be fully consistent with observations.

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