Introducing categories to the practicing physicist

Details Introducing categories to the practicing physicist Introducing categories to the practicing physicist

2008-08-07

arxiv.org/abs/0808.1032v1

What is category theory? Advanced Studies in Mathematics and Logic, volume 30, pages 45-74, Polimetrica Publishing, 2006

Physics

Quantum Physics

30 pages and 19 pictures

Scientific paper

We argue that category theory should become a part of the daily practice of the physicist, and more specific, the quantum physicist and/or informatician. The reason for this is not that category theory is a better way of doing mathematics, but that monoidal categories constitute the actual algebra of practicing physics. We will not provide rigorous definitions or anything resembling a coherent mathematical theory, but we will take the reader for a journey introducing concepts which are part of category theory in a manner that the physicist will recognize them.

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