Observability and Mathematics

3 Observability and Maxwell electrodynamic equations

Classical Maxwell electrodynamic equations generalize separate electrodynamic laws to the single system and are described in the book [10].

A derivation of Maxwell electrodynamic equations in Mathematics with Observers was done in the book [8].

These equations are shown below.

The electric field intensity is denoted here by E, the magnetic field intensity is denoted by H, the “charge density” is denoted by ρ, and the current density vector is denoted by j.

So, with an accuracy up to measurement units (where the speed of light c is equal to 1), we get the Maxwell equations in Mathematics with Observers:

(MOM1)

(Faraday law in Mathematics with Observers)

$\begin{array}{c}\mathbf{rot}\mathbf{E}{+}_{\mathit{n}}\partial \mathbf{H}\mathrm{/}\partial \mathit{t}={\mathit{\iota }}_1\end{array}$

where ${\mathit{\iota }}_1$ is ...