Loop Quantum Gravity, S1E4: Prereq Refresher
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We're continuing our preparation: for our Loop Quantum Gravity (LQG) study group to work through the mathematics behind LQG using these two textbooks:
- Rovelli, C., & Vidotto, F. (2015). Covariant loop quantum gravity: An elementary introduction to quantum gravity and spinfoam theory. Cambridge University Press.
- Gambini, R., & Pullin, J. (2011). A first course in loop quantum gravity. Oxford University Press.
Continuing where we left off: We will continue in this meeting with where we left off in S1E3 where we introduced vector spaces and then analyzed circular orbits, spring oscillators, and vibrating strings. Topics still ahead:
- quantum mechanics basics
- Lagrangians and Hamiltonians
- special relativity
- partial differential equations
- tangent spaces
- general relativity
Once we have a solid foundation with the topics listed above, I think we should tackle any further prerequisites as side quests when we encounter them. The books will guide us toward the mathematical tools we actually need.
Come prepared to: ask questions, share insights, and work through some mathematical challenges together. Looking forward to seeing everyone there.