The ∂ΦE/∂t term, which says that changing electric fields create magnetic fields, is necessary so that the equations produce consistent results regardless of the surfaces chose...The ∂ΦE/∂t term, which says that changing electric fields create magnetic fields, is necessary so that the equations produce consistent results regardless of the surfaces chosen, and is also part of the apparatus responsible for the existence of electromagnetic waves, in which the changing →E field produces the →B, and the changing →B makes the →E.
For Hermitian matrices: K†=K,ˉK=˜K and the same for R. Circular rotation around the z-axis by ϕ and hyperbolic rotation along the same asix by th ehyperbolic angle \(\...For Hermitian matrices: K†=K,ˉK=˜K and the same for R. Circular rotation around the z-axis by ϕ and hyperbolic rotation along the same asix by th ehyperbolic angle μ: Lorentz four-screw: L(ϕ,ˆz,μ). In the Pauli algebra the formal simplicity of these relations is maintained even for arbitrary axial directions. To be sure, obtaining explicit results from the bilateral products may become cumbersome.
