Is Kaluza-Klein Theory Relevant to Quantum Mechanics and Non-Locality?

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Discussion Overview

The discussion centers on the relevance of Kaluza-Klein theory to quantum mechanics and the concept of non-locality. Participants explore how Kaluza-Klein theory might represent quantum non-locality and its implications for understanding the universe.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether Kaluza-Klein theory applies to quantum mechanics and how it can represent quantum non-locality.
  • Another participant notes the complexity of Kaluza-Klein theory and suggests that not everyone may be able to adequately comment on it.
  • A participant expresses a speculative idea about a mathematical representation of entanglement in extra dimensions, proposing that the universe originated from a common extra-dimensional point.
  • One participant posits that the 5th dimension could represent infinite universes, similar to the Many-Worlds Interpretation (MWI) of quantum mechanics.
  • Another participant elaborates on the geometry of Kaluza-Klein theory, mentioning the cylinder assumption and its relation to electromagnetic theory, while suggesting that the theory has lost much of its appeal in contemporary discussions.
  • Discussion includes references to the Cluster Decomposition property in quantum field theory and its implications for locality.

Areas of Agreement / Disagreement

Participants express a range of speculative ideas and interpretations regarding Kaluza-Klein theory and its connection to quantum mechanics and non-locality. There is no consensus on the relevance or implications of the theory, and multiple competing views remain.

Contextual Notes

Participants acknowledge the complexity of Kaluza-Klein theory and the limitations of their mathematical knowledge, which may affect their ability to fully engage with the topic. There are unresolved assumptions regarding the nature of the 5th dimension and its implications for quantum mechanics.

Marceli
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I am still learning of Kaluza-Klein theory. Is KK theory applying to quantum mechanics? How quantum non-locality can be represented by KK theory?
 
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Wikipedia has an introductory article on Kaluza Klein theory that may be of interest:

http://en.m.wikipedia.org/wiki/Kaluza–Klein_theory

One thing to be aware of is that this is a very deep theory and there may not be anyone here who can properly or adequately comment on it let alone answer your questions.

What is your interest in KK theory and what level of schooling do you have so far?
 
Before I read this I was just thinking about this a couple days ago... hmm.
Simply brilliant!
 
Last edited:
Must be some mathematical representation of entanglement reality in extra dimensions, but from non-local phenomena seems Universe was created from one common extra dimensional point so it stays forever for any point in our Universe! My mathematical knowledge from University is not so strong to develop Kalusa-Klein formulas currently therefore I am using mine deductive reasoning imagination.
 
I'm starting with the assumption that the 5th dimension is infinite universes like MWI.
 
jerromyjon said:
I'm starting with the assumption that the 5th dimension is infinite universes like MWI.

Actually in KK its curled up in a circle and this enforces the so called cylinder assumption which is the real basis of why KK works:
http://en.wikipedia.org/wiki/Kaluza–Klein_theory

The cylinder assumption is the geometry of a circle ie U(1) symmetry which is in fact the basis EM - so in a sense its EM in EM out. Once this was understood it lost much of its appeal and is pretty backwater these days.

Regarding locality it's quantisation would be a QFT and locality in that depends on the so called Cluster Decomposition property:
http://en.wikipedia.org/wiki/Cluster_decomposition_theorem

Thanks
Bill
 
Thanks Bhoppa, it seems now we can close the thread.
 

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