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Quantum Geometry:

A reunion of math and physics

Physics and Math are quite different:



Although to an uninitiated eye
they may appear indistinguishable

Math: deals with abstract ideas which exist
independently of us, our practice, or our world
Physics: the study of the most fundamental
properties of the real world, especially motion and
change (Aristotle)

Mathematicians prove theorems and value
rigorous proofs.
E.g. Jordan curve theorem:
“Every closed non-self-intersecting curve on a

plane has an inside and an outside.”
Seems evident but is not easy to prove.

Physicists are more relaxed about rigor.

Since the times of Isaac Newton, physics is
impossible without math:

Laws of Nature are most usefully expressed
in mathematical form.

In a sense, physics is applied math.

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