Unsure of the path I should take after univeristy

AI Thread Summary
The discussion centers on the challenges faced during the early years of university, particularly in mastering core mathematics while struggling with physics. After overcoming initial difficulties, the individual excelled in their final two years, achieving top marks. However, this success has led to a feeling of inadequacy regarding their foundational knowledge in physics from the first two years. The individual expresses a desire to relearn these fundamentals to feel confident in their degree and is considering a path toward quantum gravity, which requires additional knowledge in group/set theory and differential geometry. They are also contemplating pursuing a PhD in Europe and seek advice on how to effectively bridge these knowledge gaps while managing their time.
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At the start of univerity I had a huge problem that really threw me off track. Thus during the first two years (4 year total due to masters) I focused my time on the core maths modules (maths 1, 2, 3, 4).

In year 3 and 4 I sorted the problem and really got my head down and ended up achieving a 1st in all modules (some high 1st e.g. QFT).
This has led me to a very strange predicament, that being, I need to relearn the physics from year 1 and 2 as I don't feel confortable saying I have a degree until I relearn them. This is troubling as I feel time is running out (I'm 23 years old).

I'm tending towards the quantum gravity path so I also need to learn group/set theory, differential geometry etc. Furthermore, I'm opening up to the idea of a PhD (in europe) which is one of the main reasons I need to know the bascis.
Any advice?
 
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Your post will probably get moved to "Academic Guidance".
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
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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