Interesting Articles
Some of these require at least a vague grasp of undergraduate physics. All are readable if you're interested,
but you'll just have to 'skim the details' if you're not too familiar with the maths.
Comments on Yang Mills Gauge Invariance
What happens to spin during the SO(3) -> SE(2) contraction?
Discussion about Lie algebras of Spin Groups and their relation to the Pauli-Lubanski vector
Deciding isomorphism of Lie algebras
PDF Guide to LaTeX
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If you're going to do maths at uni, you're going to need to learn how to use LaTeX.
LaTeX Guide to Feynman Diagrams * :
Part 1
Part 2
Part 3
The following articles are ones I've typed using textbooks or lecture notes as templates or just off the top of my head.
Penrose Diagrams
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What are Penrose diagrams, what is their purpose and how you draw them.
Derivation of Maxwell Tensor in QFT
Using simple gauge theory considerations, the existence of electromagnetism can be derived in QFT.
Black Hole Mechanics and Hawking Radiation
Derivation of the Laws of Black Hole Mechanics and their application Hawking Radiation.
Complex Manifolds
Description of what manifold are, how to construct vectors and tensors in them and a crash course in how
to use that to define Calabi-Yau manifolds, as used in string theory.
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