Minimum Size in spin networks/foams.

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SUMMARY

The discussion centers on the relationship between spin networks and spin foams in the context of quantum gravity. It establishes that matter fields exist on spin foams, analogous to electrical fields on a grid, and that measurements of area correspond to specific spin networks. The conversation emphasizes that the dynamics of scattering and geometry are intertwined, with measurements being independent of energy-momentum. This foundational understanding is crucial for further exploration of quantum field theories.

PREREQUISITES
  • Understanding of spin networks and spin foams in quantum gravity.
  • Familiarity with eigenvalues and surface operators in quantum mechanics.
  • Knowledge of the principles of quantum field theory.
  • Basic concepts of area measurement in geometric contexts.
NEXT STEPS
  • Research the role of eigenvalues in quantum measurements.
  • Explore the dynamics of scattering in quantum field theories.
  • Study the implications of area measurements in spin networks.
  • Investigate the mathematical framework of spin foams in quantum gravity.
USEFUL FOR

Researchers in theoretical physics, particularly those focusing on quantum gravity, as well as students and professionals interested in the mathematical structures of spin networks and their applications in quantum field theory.

MTd2
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I must put both of them because I want to have an idea of dynamics here, of scattering and of geometry at the same time. I will rewrite what I put in another thread:

"Matter field is something that lives on a spin foam like electical fields on a electrical grid structure. Any possible experiment done by whoever lives on that grid will be like obtaing an eigenvalue of a surface operator. But what moves is the matter field, so any measurement of an area will be irrespective of its energy-momentum."

By the way, when a measurement is made, a spin network is picked out of a spin foam, right? So, the area measured is one of a spin network.
 
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I replied already to what you said in the other thread. I will have to look back and see what I said.
MTd2 said:
...
By the way, when a measurement is made, a spin network is picked out of a spin foam, right? So, the area measured is one of a spin network.
 

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