First post since 2009. I've learned a lot. Where to go from here?

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    Self study physics
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SUMMARY

The discussion centers on an individual's journey in self-study within the fields of physics and mathematics, specifically focusing on General Relativity (GR) and Quantum Mechanics (QM). The participant has a solid understanding of these topics and is now seeking guidance on advancing their studies into theories beyond the Standard Model (BTSM), including Loop Quantum Gravity (LQG), Topological Quantum Field Theory (TQFT), and Twistor Theory. They express a particular interest in the implications of the holographic principle and related concepts. The inquiry emphasizes the need for direction in selecting which advanced theory to pursue next.

PREREQUISITES
  • Understanding of General Relativity (GR) and Quantum Mechanics (QM)
  • Familiarity with the Many-Worlds Interpretation (MWI) and Quantum Field Theory (QFT)
  • Knowledge of foundational concepts such as the holographic principle and AdS/CFT correspondence
  • Basic grasp of theoretical physics terminology and principles
NEXT STEPS
  • Research Loop Quantum Gravity (LQG) and its implications for spacetime
  • Explore Topological Quantum Field Theory (TQFT) and its applications in modern physics
  • Study Twistor Theory and its relevance to quantum gravity
  • Investigate the implications of the holographic principle in theoretical frameworks
USEFUL FOR

This discussion is beneficial for self-learners in physics, particularly those with a background in General Relativity and Quantum Mechanics, as well as anyone interested in exploring advanced theoretical concepts in physics.

daytripper
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So I hope I'm posting in the right place. This is a request for advice on my STEM education but I have no immediate intention of attending university again (maybe one day). Rather, I'm requesting guidance on the future direction of my independently driven academics (i.e. "self-study").

I created this account back in 2005, while I was still in high school. I asked a bunch of questions, trying to wrap my head around SR (when I have time, I'm sure I'll get a good laugh by going back and reading what I wrote). I eventually figured that out and moved on to GR and QM and have gotten a pretty good handle on those things. In the meantime, I got a non-physics STEM degree, a job outside of physics, and continued to study math and physics in my spare time. There's still plenty for me to learn wrt GR and QM (more the latter than the former) but I'm satisfied with my grasp of them. I think the MWI paired with QFT and an extreme focus on the role of information and computable processes works very well. Finally gave in to the suggestions that I read Tegmark's book about the MUH and I've found the book to be a fairly precise explanation of my interpretation of physics (though it's been wonderful to read the additional insights he offers). I find that the holographic principle, AdS/CFT correspondence, the Beckenstein bound, the Landaurer principle, the delayed choice quantum erasure experiment, etc, etc all put writing on the wall that I can't quite read.

So my question: where to go from here? I'm thinking of diving into some of the theories beyond the standard model. I've heard that I should consider LQG, TQFT, and/or Twistor theory. But I'm not sure which of these I should start with. Given my background and preferred perspective, where should I begin my investigation forward? Am I getting ahead of myself?

Thanks in advance for any advice you can offer.
 
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Why do you want to investigate BTSM theories in the first place?
 

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