Understanding LQG: Adding and Multiplying in Spin Networks

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SUMMARY

The discussion focuses on the operations of addition and multiplication within spin networks in Loop Quantum Gravity (LQG). Participants seek clarity on how to perform union or concatenation of graphs to create connected graphs with summed volumes, as well as how to scale a graph's volume by a scalar. The conversation highlights the need for resources that effectively teach these calculations and the foundational knowledge required for understanding LQG concepts.

PREREQUISITES
  • Understanding of Loop Quantum Gravity (LQG) principles
  • Familiarity with spin networks and their properties
  • Knowledge of graph theory, particularly operations on graphs
  • Basic mathematical skills in scalar multiplication and volume calculations
NEXT STEPS
  • Research the mathematical framework of Loop Quantum Gravity
  • Explore resources on spin networks and their operations
  • Study graph theory with a focus on union and concatenation of graphs
  • Learn about volume calculations in the context of quantum gravity
USEFUL FOR

Researchers, physicists, and students interested in Loop Quantum Gravity, particularly those looking to deepen their understanding of spin networks and their mathematical operations.

naima
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Hi all

I use to read posts on LQG where I try to understand what will be evident next 10 years!.
I'd just like to know how one can add to spin networks or multiply one by a scalar?

Thank you
 
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in fact my question is about union or concatenation: given two graphs is there a natural operation producing a connex graph with the sum of volumes.
the same fom 1 graph to get a new graph with a volume multiplied by a scalar
 
I also have a "layman's" question:

What has been achieved so far in LQG,
and where are the best resources teaching how to do those kinds of calculation with LQG (and also what sort of background is prerequisite for such)?
 

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