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File: Calculus Pdf 166337 | Game2020 Lasenby
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 ...

icon picture PDF Filetype PDF | Posted on 24 Jan 2023 | 2 years ago
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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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