Using Quaternions for EM and GEM, Manifestly Covariant Form

This talk shows how to derive the Maxwell equations starting from quaternions, a type of 4D number. A variation of the EM Lagrangian leads to the GEM field equations. A time dependent form of Newton's field equations can be seen in the GEM field equations, a good thing.

NOTE: this is _exactly_ the same talk as one with a similar title, except I changed the notation from the Cartesian t, x, y, z to far more general 0-3 subscripts.

Category:

Science & Technology

Tags:

• Theoretical
• Physics
• Unified
• Field
• Theory
• Lagrangians
• Quaternions

[p3p3nietnagel]

Ever heard of Latex?

[sweetser]

Yup. The artistic director decided to use obviously-done-by-hand work to suggest to viewers that they can do this also by hand.

[p3p3nietnagel]

Well I guess these mathematics are on a level, where people don't need to be persuaded anymore that they can or can't do something on their own. But okay, got your point.