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[Phys-L] physics without cross products



On 08/21/2016 10:35 AM, Derek McKenzie wrote:

I'm not sure what you're referring to about a 'different model'?

AFAICT you can do all of physics without cross products.
IMHO it's easier and better without cross products.
Use /wedge products/ instead.

Specific application to electromagnetism:
https://www.av8n.com/physics/maxwell-ga.htm

General formulation:
https://www.av8n.com/physics/clifford-intro.htm

As it says there:

The cross product only makes sense in three dimensions.
The wedge product is well behaved in any number
of dimensions, from zero on up.

The cross product is defined in terms of a “right hand rule”.
A wedge product is defined without any notion of handedness,
without any notion of chirality. This is more important
than it might seem, because it changes how we perceive
the apparent symmetry of the laws of physics.

Et cetera.