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=== Psi Field Equation Analogous to Electromagnetism === <math> \begin{align} \nabla \cdot \mathbf{E}_{\text{psi}} &= \frac{\rho_{\text{psi}}}{\varepsilon_0} \\ \nabla \cdot \mathbf{B}_{\text{psi}} &= 0 \\ \nabla \times \mathbf{E}_{\text{psi}} &= -\frac{\partial \mathbf{B}_{\text{psi}}}{\partial t} \\ \nabla \times \mathbf{B}_{\text{psi}} &= \mu_0 \mathbf{J}_{\text{psi}} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}_{\text{psi}}}{\partial t} \end{align} </math> * Description: These equations are analogous to Maxwell's equations for electromagnetism but describe the behavior of the Psi Field ( <math> \mathbf{E}_{\text{psi}}</math> and <math>\mathbf{B}_{\text{psi}} </math> ). The first equation represents Gauss's law for the Psi Field, stating that the divergence of the Psi electric field (<math>\mathbf{E}_{\text{psi}}</math>) is equal to the psi charge density (<math>\rho_{\text{psi}}</math>) divided by the vacuum permittivity (<math>\varepsilon_0</math>). The second equation states that the divergence of the Psi magnetic field (<math>\mathbf{B}_{\text{psi}}</math>) is zero, indicating no psi magnetic monopoles. The third equation represents Faraday's law of electromagnetic induction, stating that the curl of the Psi electric field is equal to the negative time rate of change of the Psi magnetic field. The fourth equation represents Ampère's law with Maxwell's addition, stating that the curl of the Psi magnetic field is equal to the sum of the Psi current density (<math>\mathbf{J}_{\text{psi}}</math>) and the time rate of change of the Psi electric field, scaled by the vacuum permeability (<math>\mu_0</math>) and vacuum permittivity (<math>\varepsilon_0</math>). * <math>\nabla</math>: Nabla operator representing the gradient of a scalar field or the divergence of a vector field. * <math>\mathbf{E}_{\text{psi}}</math>: Psi electric field vector. * <math>\mathbf{B}_{\text{psi}}</math>: Psi magnetic field vector. * <math>\rho_{\text{psi}}</math>: Psi charge density. * <math>\varepsilon_0</math>: Vacuum permittivity. * <math>\mu_0</math>: Vacuum permeability. * <math>\mathbf{J}_{\text{psi}}</math>: Psi current density vector.
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