Understanding the Mathematics of Locality and Nonlocality

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The discussion focuses on the mathematics of locality and nonlocality, particularly in the context of quantum field theory (QFT). Locality is maintained through a finite polynomial type of Lagrangian density, which can break locality under certain conditions. The conversation touches on the implications of nonlocality, specifically regarding the concept of velocity in nonlocalized tachyons. It connects nonlocality to the Heisenberg Uncertainty Principle (HUP), suggesting that as uncertainty in velocity or momentum increases, particles may exhibit tachyonic properties. The exchange highlights the complexities of understanding these concepts within theoretical physics.
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Can someone explain the mathamatics behind locality and nonlocality?
 
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In what context...?You should have specified that.

Daniel.
 
dextercioby said:
In what context...?You should have specified that.

Daniel.

I didn't know there were different context to it.
 
In QFT,the locality is assured by a finite polynomial type of a Lagrangian density.For example,the density for the scalar field:

\mathcal{L}(\varphi,\partial^{\mu}\varphi)=\exp [(\partial^{\mu}\varphi)(\partial_{\mu}\varphi)+\phi^{2}]

is said to break locality...

Daniel.
 
ummm...huh?
 
Ok explain to me what velocity means to a nonlocalized tachyon
 
What do you mean?"nonlocalized" ...does it refer to HUP...?Yes,in agreement with HUP,as the uncertainty in velocity/momentum goes to infinity,basically any particle could be tachyonic...

Daniel.
 

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