What Physics and Math Should You Study for M-Theory and the Multiverse?

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To self-study M-Theory and inflationary cosmology, a foundational understanding of physics is essential, ideally equivalent to a bachelor's degree. Key subjects to focus on include classical mechanics, electromagnetism, quantum mechanics, and general relativity. Additionally, advanced mathematics is crucial, particularly in areas such as linear algebra, calculus, differential equations, and group theory. A strong grasp of these topics will facilitate a deeper understanding of the multiverse concept and the mathematical models that describe various universes. Engaging with resources like the provided link can enhance the learning experience and provide structured guidance.
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I have a rudimentary background in physics and would like to do self-study for my own intellectual curiosity. If I wanted to try to get a grasp of something like M-Theory or inflationary cosmology, what physics subjects would I need to study first? Also what kinds of mathematics would I need to study? I am most interested in the topic of the multiverse, and the related issue of what mathematical models can tell us about the universe(s).
 
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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"...
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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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