Is Theory or Math the Right Path for My Future in Physics?

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The discussion centers around a university student's dissatisfaction with their physics courses, particularly intermediate lab and optics, and their mixed experiences with internships in both experimental and theoretical physics. The student expresses a preference for theoretical physics but is disillusioned by the predominance of phenomenology in the field. They find enjoyment in their math classes, particularly in calculus and linear algebra, but are apprehensive about the necessity of proofs in mathematics, feeling uncertain about their ability to engage with them. The conversation highlights common struggles among physics students, such as the impact of research supervisors on the learning experience and the importance of choosing classes with effective teachers. Participants suggest exploring different areas of physics and mathematics before making definitive career decisions, emphasizing that many students share similar challenges with certain physics subjects. The student plans to continue their studies in electromagnetism, classical mechanics, and mathematical methods before deciding on their academic path.
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so now I'm at university and taking my first real physics undergrad classes: intermediate lab and optics and guess what, i dislike em both! this past summer i also did two internships, one in experiment and one in theory. the experiment one was admittedly very dinky; it was at a engineering research lab. the theory one was very not dinky; it was at the NHMFL. both left a very sour taste in my mouth. the experiment one mostly because i really didn't do any physics because the guy i worked for sucked. the theory one was way out of my league; the guy basically gave me the calculation he was doing for a paper he was publishing and said here do it with us.

so here i am with a couple of experiences of real physics, a couple experiences of undergrad physics classes and i feel like i don't like it at all. add to this some philosophical problems I'm having with it, which are on full display in GD, and I'm feeling a little, just a little, like physics isn't for me. admittedly the two research experiences were very inappropriate ones. the experimental one wasn't anything so i'll be looking to try something different soon and the theory one was just ridiculous. but besides these experiences I have always felt that I've wanted to do theory instead of experiment and now I come to realize that most of theory that is done is phenomonolgy which is definitely not what i want to do.

incidentally I'm enjoying my math classes. my calc 3 teacher asks interesting questions and i feel like i have the same kind of fun solving those problems that i did when i first was exposed to physics in high school in that there's a concrete answer you just have to be clever enough to apply the right rules. my linear algebra teacher is offering to teach me about tensor analysis and so it feels like math is very exciting right now. but at the same time I've looked around and i also feel like proofs aren't for me.

so the dilemma boils down to this. want to do theory physics but dont' want to do phenomenology or want to do math but don't want to do proofs.

i'm almost sure there's no way i can have it either way :(
this is of course my future I'm speaking about. i understand that if i decide to do math i'll have to atleast grind through some proof classes. and if i decide to do physics and someone tells me some kind of theory i could that isn't phenomenology that i would have to do some calculations before i got there. so I'm prepared to do what it takes I'm just worried about doing something i don't like for the rest of my career.
 
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Maths is all about proofs. If you're in the US, then all the maths you've learned so far is nothing more than just calculation or algebraic manipulation. I think you'll slowly discover that proofs are actually pretty fun -- an ingenious proof is really a work of art.
 
genneth said:
Maths is all about proofs. If you're in the US, then all the maths you've learned so far is nothing more than just calculation or algebraic manipulation. I think you'll slowly discover that proofs are actually pretty fun -- an ingenious proof is really a work of art.

maybe. it seems to me when i read proofs from a book like principles of analysis by rudin they're ridiculously ingenious and so maybe i won't be able to do them.
 
In my experience, the three classes most disliked by undergrad physics students are optics, labs and thermodynamics. So you are not in any way atypical!

Try to take classes with professors who have reputations as good teachers. That always helps make learning more enjoyable. I would advise you to take intermediate mechanics and QM before you decide whether to bail on physics.

It's unfortunate, but your supervisor usually makes a huge difference in whether you enjoy research or not. Try to shop around a bit. It's usually a good sign if a professor has more than one undergrad-sized project and is willing to suggest some background reading so that you can choose between projects.

Anyways, enjoy your math classes!
 
oedipa maas said:
In my experience, the three classes most disliked by undergrad physics students are optics, labs and thermodynamics. So you are not in any way atypical!

Try to take classes with professors who have reputations as good teachers. That always helps make learning more enjoyable. I would advise you to take intermediate mechanics and QM before you decide whether to bail on physics.

It's unfortunate, but your supervisor usually makes a huge difference in whether you enjoy research or not. Try to shop around a bit. It's usually a good sign if a professor has more than one undergrad-sized project and is willing to suggest some background reading so that you can choose between projects.

Anyways, enjoy your math classes!
yea I am definitely not making any decisions until i finish E&M, CM and math methods next semester
 
ice109 said:
maybe. it seems to me when i read proofs from a book like principles of analysis by rudin they're ridiculously ingenious and so maybe i won't be able to do them.

I suggest learning number theory first -- there are more "elementary" proofs in there. The more systematic fields, like analysis (leading to topology and differential geometry), tend to be more about definitions and large-scale theory building. I suggest "The Higher Arithmetic" by (I think) Davis, for a fun and easy ride through some basic number theory. It will develop your sense of proof -- and maybe you'll even have some fun whilst at it. Though, of course, if you're at university, you may be pressed for time...
 
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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