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A New Language for Physics Anthony Lasenby Kavli Institute for Cosmology and Cavendish Laboratory, Cambridge GAME2020, Kortrijk Feb 2020 Overview ‘Geometric Algebra’ is an extremely useful approach to the mathematics of physics, that allows one to use a common language in a huge variety of contexts E.g. complex variables, vectors, quaternions, matrix theory, differential forms, tensor calculus, spinors, twistors, are all subsumedunderacommonapproach Therefore results in great efficiency — can quickly get into new areas Also tends to suggest new geometrical (therefore physically clear, and coordinate-independent) ways of looking at things Will try today to introduce a few aspects of it in more detail — principally applications to electromagnetism, quantum mechanics andgravity — in fact will discuss all four forces of nature For those who maybe have not been to the preceding lectures, will give a short introduction to what GA is, but aim to move on quickly to the new material with the Spacetime Algebra (STA) For further info and pointers to where else it’s useful, look at http://geometry.mrao.cam.ac.uk
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