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In particular, CGA provides the answers to some questions
that have been bugging me for decades. For starters,
consider the fundamental principle that physics is
independent of absolute location. We are free to choose
an origin of coordinates, but somebody else might choose
differently, and all the fundamental equations of physics
really ought to come out the same. This is an example of
gauge freedom. This independence has been known for a
long time; it predates Galileo's principle of relativity.