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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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