Is Bohmian Mechanics incompatible with String Theory

In summary: No, a minimal length is still present in the theory, but it is not the fundamental length. In some versions of Bohmian mechanics, the minimal length is not the distance between two points in space, but the shortest path between two points in space.
  • #1
JG11
18
2
Bohmian mechanics requires a preferred reference frame. But String theory doesn't have any preferred frames, so isn't BM incompatible with ST?? Maybe it would be compatible with other theories of quantum gravity that permit a preferred frame (LQG, CDT)...
 
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  • #2
Do you have a reference for your first statement (BM requires...)?
 
  • #3
haushofer said:
Do you have a reference for your first statement (BM requires...)?

It is well known that bohmian mechanics has a preferred frame involved.
 
  • #4
There has been some speculation that a preferred frame may be (approximately) compatible with string theory.

https://arxiv.org/abs/1106.4501
From Fixed Points to the Fifth Dimension
Raman Sundrum
"The sense in which AdS/CFT duality illustrates the possibility of emergent relativity, and the special role of strong coupling, are briefly discussed."
 
  • #5
Why do you ask about string theory? If a theory requires a preferred frame it will already be at tension with relativity.
 
  • #6
JG11 said:
Bohmian mechanics requires a preferred reference frame. But String theory doesn't have any preferred frames, so isn't BM incompatible with ST?? Maybe it would be compatible with other theories of quantum gravity that permit a preferred frame (LQG, CDT)...
Let me make a biological metaphor. Males have sperm. But females don't have any sperm, so aren't males incompatible with females?

The answer is of course no, because you need both beings (one without sperm and the other with) for a complete theory of reproduction. Similarly, Bohmian interpretation of a basic quantum theory (be it non-relativistic quantum mechanics, quantum field theory or string theory) adds something that is not present in the basic theory, without denying any equation of the basic theory. Bohmian interpretation claims that the basic version of the theory is incomplete, in the sense that it cannot explain how measurement outcomes are created. In my metaphor, it corresponds to the claim that a reproduction theory based only on females is incomplete because it cannot explain how babies are created.

That being said, I would add that there are versions of Bohmian mechanics for string theory that do not introduce a preferred frame. But they of course add something else that is not present in the basic version of the theory.
 
  • #7
JG11 said:
It is well known that bohmian mechanics has a preferred frame involved.
"Has" is not the same as "require". Most versions of Bohmian mechanics indeed have a preferred frame, but it is not a general requirement.
 
  • #8
Demystifier said:
Let me make a biological metaphor. Males have sperm. But females don't have any sperm, so aren't males incompatible with females?

The answer is of course no, because you need both beings (one without sperm and the other with) for a complete theory of reproduction. Similarly, Bohmian interpretation of a basic quantum theory (be it non-relativistic quantum mechanics, quantum field theory or string theory) adds something that is not present in the basic theory, without denying any equation of the basic theory. Bohmian interpretation claims that the basic version of the theory is incomplete, in the sense that it cannot explain how measurement outcomes are created. In my metaphor, it corresponds to the claim that a reproduction theory based only on females is incomplete because it cannot explain how babies are created.

That being said, I would add that there are versions of Bohmian mechanics for string theory that do not introduce a preferred frame. But they of course add something else that is not present in the basic version of the theory.
Interesting. Can you link me to the interpretations of bohmian mechanics that do not introduce a preferred frame? What kind of physical consequences does a Bohmian String theory have which adds to the original theory?
 

1. Is Bohmian Mechanics considered a complete theory?

No, Bohmian Mechanics is not considered a complete theory. It is a non-local hidden variable theory that attempts to provide an alternative interpretation of quantum mechanics, but it is not widely accepted or proven to be a complete theory.

2. Can Bohmian Mechanics be used to explain the behavior of particles in string theory?

No, Bohmian Mechanics is not compatible with string theory. String theory is a framework that describes the behavior of particles in terms of one-dimensional strings, while Bohmian Mechanics relies on point-like particles.

3. How does Bohmian Mechanics differ from other interpretations of quantum mechanics?

Bohmian Mechanics differs from other interpretations of quantum mechanics in that it introduces a "pilot wave" that guides the behavior of particles, rather than relying on probabilities and wave function collapse.

4. Can Bohmian Mechanics and string theory be reconciled?

Currently, there is no known way to reconcile Bohmian Mechanics and string theory. They are fundamentally different theories that describe the behavior of particles in different ways, making it difficult to merge them into a single framework.

5. Are there any experimental tests that can determine if Bohmian Mechanics is compatible with string theory?

No, there are no known experimental tests that can determine if Bohmian Mechanics is compatible with string theory. Both theories are highly theoretical and have not been extensively tested or proven, making it difficult to determine their compatibility through experimentation.

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