Механизм электромагнитной гравитации и инерции

Last modified by Alexey Popov on 2020/01/10 16:22

$\mathbf a = - \frac{1}{\rho_n}\nabla w$

$\nabla w = \frac{1}{2}\varepsilon_0\nabla(\mathbf E \cdot \mathbf E) + \frac{1}{2}\frac{1}{\mu_0}\nabla(\mathbf B \cdot \mathbf B)$

$\mathbf a = -\frac{1}{\rho_n}\varepsilon_0\nabla (\mathbf E \cdot \mathbf E)$

$\mathbf E = -\frac{\partial \mathbf A}{\partial t}$

$\mathbf J = -\varepsilon_0\frac{\partial \mathbf E}{\partial t}$

$\mathbf J = -\frac{1}{\mu_0}\square \mathbf A$

$\mathbf a = -\frac{1}{\rho_n}\nabla (\mathbf J \cdot \mathbf A) = -\frac{1}{\rho_n}\frac{1}{\mu_0}\nabla (\square \mathbf A \cdot \mathbf A)$

$\mathbf B = \nabla \times \mathbf A$

$\square\mathbf B = -\mu_0 (\nabla \times \mathbf J)$

$\nabla (\mathbf {A} \cdot \mathbf {B} )&=(\mathbf {A} \cdot \nabla )\mathbf {B} +(\mathbf {B} \cdot \nabla )\mathbf {A} +\mathbf {A} \times (\nabla \times \mathbf {B} )+\mathbf {B} \times (\nabla \times \mathbf {A} )$

$\nabla (\mathbf {A} \cdot \square \mathbf A )&=(\mathbf {A} \cdot \nabla )\square \mathbf A +(\square \mathbf A \cdot \nabla )\mathbf {A} +\mathbf {A} \times (\nabla \times \mathbf J)-\mathbf J \times \mathbf B$

$\mathbf J \times \mathbf B = \square( (\mathbf r \times \mathbf J)\times(\mathbf r \times \mathbf B))$

$\mathbf a = \frac{1}{\rho_n}\square( (\mathbf r \times \mathbf J)\times(\mathbf r \times \mathbf B))$

$\mathbf r \times \mathbf J$

$\mathbf r \times \mathbf B$

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Created by Alexey Popov on 2020/01/10 15:39