/sci/ - Science & Math

>>15858540
I'll I say is that Bohm-Aharonov and the defining the magnetic vector potential as the real thing is a central theme in the mathematics used by by this tradition of 'em' if you can call it that

>>15850094
>This has been generalised and used in theoretical physics decades ago
indeed, but somehow the vector potential is still taught as just a 'mathematically conveinence' with no basis in reality decades later.

Such a travesty could only be tolerated by being stuck in the vector algebra formulation of the gibbs-heaviside equations. Exterior products are generalizable beyond R^3 unlike the curl, ignoring the scalar term of the quaternion hides a vital part of wave interference, and the currents fundemental relationship with the vector potential obsures whats reallying being destroyed when implementing a guage

quaterions are the way
enjoy https://www.youtube.com/watch?v=3AAK-4KdGXs

and have https://www.researchgate.net/publication/237501522_Electrodynamics_with_the_Scalar_Field