Symmetric Physics | The Dirac Equation from the Lorentz Group

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In this video we will derive the Dirac equation from group theory yet again. In this case we will be taking invariant spinor objects and building the Dirac equation from them. These invariant spinor objects come directly from the fact that the transformations of the objects are part of the Lorentz group.

#modernphysics #quantum #qft #physics

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Vectors are equivalent or dual to spinors.
Spin up is dual to spin down, particles are dual to anti-particles -- the Dirac equation.
"Always two there are" -- Yoda.

hyperduality
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Can any other famous mathematical equations be built using group theory (IE, Schrodinger, Klein-Gordon, classical wave equation, etc.)?

thevikifalcon
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I know nothing about quantum physics but I'm going to get high and follow along with this and let you know how much I actually got from this.

samueldwyer