Maxwell's system of equations
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Corresponding Wikipedia article: Maxwell's equations
The alternating electric field is not a source of the magnetic solenoidal (vortical) field. Although this property follows from the symmetry considerations, it is contrary to the magnetic field nature. For example, a constant heterogeneous electric field is variable and different for the observers, which are moving in the different ways. Consequently, each observer have its own vortical magnetic field, what is contrary to its nature.
The consequence from the magnetic and electric fields asymmetry is, that the electromagnetic waves do not exist in a form, which follows from the Maxwell's equations, which contain a mistake.
| Maxwell's electrodynamics |
Aetheric electrodynamics |
Physical meaning of equations |
|---|---|---|
| \[\mathbf{\overrightarrow{B}}=\mu_0\mu\mathbf{\overrightarrow{H}}\] \[\mathbf{\overrightarrow{D}}=\varepsilon_0\varepsilon\mathbf{\overrightarrow{E}}\] |
The material equations. | |
| \[w_B=\frac{\mathbf{\overrightarrow{B}}\mathbf{\overrightarrow{H}}}{2}=\frac{|\mathbf{\overrightarrow{B}}|^2}{2\mu_0 \mu}\] \[w_E=\frac{\mathbf{\overrightarrow{D}}\mathbf{\overrightarrow{E}}}{2}=\frac{\varepsilon_0\varepsilon|\mathbf{\overrightarrow{E}}|^2}{2}\] |
The volumetric density of the field energy, as a cause of the electrostatic and magnetic forces. | |
| \[\oint{\mathbf{\overrightarrow{B}}\mathrm{d}\mathbf{\overrightarrow{S}}}=div\mathbf{\overrightarrow{B}}=0\] | The magnetic flux is closed. The magnetic charges or the monopoles do not exist. | |
| \[Q=\oint{\mathbf{\overrightarrow{D}}\mathrm{d}\mathbf{\overrightarrow{S}}}\] \[\frac{\mathrm{d}Q}{\mathrm{d}V}=div\mathbf{\overrightarrow{D}}\] |
The electric charge definition, and the consequent laws of Coulomb and Biot-Savart. | |
| \[–\] | \[\mathbf{\overrightarrow{E}}=\mathbf{\overrightarrow{v}}\times\mathbf{\overrightarrow{B}}\] | The electrostatic field. The Lorentz and Ampere’s forces. |
| \[curl\mathbf{\overrightarrow{E}}=-\frac{\partial\mathbf{\overrightarrow{B}}}{\partial t}\] \[\oint{\mathbf{\overrightarrow{E}}\mathrm{d}\mathbf{\overrightarrow{l}}}=-\frac{\partial}{\partial t}\int{\mathbf{\overrightarrow{B}}\mathrm{d}\mathbf{\overrightarrow{S}}}\] |
The electrodynamic or vortical electrical field. The Faraday’s law. | |
| \[curl\mathbf{\overrightarrow{H}}=\mathbf{\overrightarrow{j}}\] | The magnetic effect of current. The Ampere's circuital and Biot-Savart laws. | |
| \[curl\mathbf{\overrightarrow{H}}=\frac{\mathrm{d}\mathbf{\overrightarrow{D}}}{\mathrm{d}t}\] | \[\mathbf{\overrightarrow{S}}=\mathbf{\overrightarrow{E}}\times\mathbf{\overrightarrow{H}}\] | The wrong Maxwell's law, which results in the electromagnetic waves. The Umov-Poynting vector as the direction and measure of the electromagnetic radiation. |
The Maxwell's law, or so-called "displacement current", has no an experimental proof. The proof (disproof) requires to measure the magnetic field around the capacitor plates with the AC voltage, excluding the field produced by a current in the plates and other conductors. The simple experiment shows, that a small magnetic field and an inductance are produced only by these plates and wires.
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