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3 years ago in Base Papers By Nisha Ali

For a base paper that’s a mathematical proof or a theoretical framework, how much detail should I reproduce in my thesis‑ Do I need to re-derive everything?

My PhD in Theoretical Physics builds on a few complex, proof-heavy papers. To show I truly understand my foundation, I feel compelled to re-derive key equations in my intro chapter. Is this expected, or is there a more efficient way?

TheoreticalPhysics MathematicalProof

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By Sanchit Answered 1 year ago

In my view, verbatim re-derivation is rarely necessary and can clutter your chapter. The goal is to demonstrate conceptual mastery, not computational repetition. I recommend this structure: First, state the core theoretical result in plain language—its significance and impact. Second, outline the key insight or methodological approach of the proof (e.g., "using a variational principle," "via symmetry arguments"). Third, present only the final, pivotal equation(s) that your own work directly uses or modifies. In an appendix, you can provide a fuller derivation for the meticulous reader. Your examiners want to see you can use the theory, not just replicate it. Synthesize it into your narrative.

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