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Physical quantities and dimensional analysis: from mechanics to quantum gravity

Abstract

Physical quantities and physical dimensions are among the first concepts encountered by students in their undergraduate career. In this pedagogical review, I will start from these concepts and, using the powerful tool of dimensional analysis, I will embark in a journey through various branches of physics, from basic mechanics to quantum gravity. I will also discuss a little bit about the fundamental constants of Nature, the so-called "cube of Physics", and the natural system of units.Comment: 20 pages, 6 figures; v2: minor changes, reference added. Pedagogical article in Portuguese addressed to undergraduate student

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