Physics is vast, and it can seem daunting at first sight to even get started with a topic. There is often this lingering feeling of self-doubt as to whether you’re sufficiently proficient in the prerequisites to make actual headway. Some people rush too fast, picking up difficult-to-shake misconceptions, and not being able to fully appreciate or join the dots in that subject (nothing inherently wrong with that of course, but not so useful if one is seeking to build up a solid understanding). Indeed, it is essential to build up a robust foundation, not merely in terms of subjective prerequisites, but also in problem-solving abilities and a physics-tuned mindset.
On the other hand, there are some people who are too heavy-handed while recommending prerequisites, and this only makes physics seem overly formidable and disheartening while starting out.
That’s why I’ve tried to prepare a list of prerequisites, concurrent topics and intriguing areas to sidetrack in, for most of the high-energy physics learning route, based on my own (subjective, of course) experience. I’ve had the experience of self-learning most of these topics, and so I feel I can offer some slightly different perspectives than the mainstream advice. Although I won’t explicitly be recommending many textbooks, I’d advise that you do not stick to a single one, and only opt for etsblished books which are at least 5-10 years old.
Some fantastic resources:
- Lecture Notes by David Tong
- Physics Stack Exchange
- So You Want To Learn Physics by Susan Rigetti
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Physics Roadmaps - String Theory 03 Jul 2021
Disclaimer for this section: I haven’t been studying string theory for a very long time, but I think I do have a good handle on the necessary prerequisites. This time I won’t have a “topics you can learn concurrently” subsection, since if you’ve reached this point of your own accord, you can figure out how best to devote your attention elsewhere.
This subject has a reputation of people entering unprepared, so the central advice I...
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Physics Roadmaps - General Relativity 10 Jun 2021
Roadmap for General Relativity
The best thing about general relativity is that it can be learned concurrently to the standard quantum route (quantum mechanics, statistical mechanics, quantum field theory, supersymmetry). I personally found general relativity to be easier to learn than quantum field theory, at least at a ~4th year undergraduate level. This was probably due to my prior interest in mathematics: general relativity requires a much, much broader maths background than QM, but once...
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Physics Roadmaps - Quantum Mechanics 09 Jun 2021
Roadmap for Quantum Mechanics
In the context of beginners’ pedagogy, the venerable quantum mechanics gets a bad rap because of the abundance of pop-sci articles ranging between misleading to downright incorrect. Luckily the existence of Griffiths’ introductory quantum mechanics textbook means that you can learn practical, fundamental quantum mechanics without picking up misinformation. Once you’ve pinned down the basics (say, until time-dependent perturbation theory), I suggest immediately moving to Sakurai’s textbook or Littlejohn’s notes for...
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Physics Roadmaps - Quantum Field Theory 09 Jun 2021
Roadmap for Quantum Field Theory
Quantum Field Theory is, quite surprisingly, a very large paradigm shift from quantum mechanics, and so in my opinion is the subject which bears the greatest risk of being misunderstood if visited prematurely.
A small introduction about QFT itself: it is currently the best theoretical framework we have for developing realistic models of fundamental processes, including our very own Standard Model. It carries forward the basic axioms of ordinary quantum...
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Physics Roadmaps - Electrodynamics 09 Jun 2021
Roadmap for Electrodynamics
Electrodynamics isn’t appreciated enough! Lots of people find it stuffed with tedious computations and tricks, but the fact is that it remains one of the most practical, wide-ranging subjects and a key cornerstone of one’s physics learning journey.
A big disclaimer that I should add is that my viewpoint is skewed towards high energy physics, so I am not aware of the details of electrodynamical applications to say plasma physics. Sorry.
Also...