Editing Psionics (section)

== Psi Field Equations ==



=== Psi Field Propagation Equation ===
<math>\nabla^2 \Psi - \frac{1}{c^2} \frac{\partial^2 \Psi}{\partial t^2} = k \rho_{\text{psi}}</math>
* Describes the propagation of psi energy or information through space.
* Represents spatial gradients of the Psi Field and its temporal evolution.
* <math>k</math> is a constant governing psi interactions, and <math>\rho_{\text{psi}}</math> represents the density of psi energy or information sources.

=== Psi Field-Matter Interaction Equation ===
<math>\nabla \cdot \mathbf{F}_{\text{psi}} = \rho_{\text{matter}}</math>
* Describes the interaction between the Psi Field (<math>\mathbf{F}_{\text{psi}}</math>) and conventional matter.
* Indicates that the divergence of the Psi Field flux is proportional to the density of matter sources (<math>\rho_{\text{matter}}</math>).

=== Psi Field Energy Density Equation ===
<math>\mathcal{E}_{\text{psi}} = \frac{1}{2} \Psi^2 + \frac{1}{2\mu_0} \mathbf{B}_{\text{psi}}^2</math>
* Calculates the energy density (<math>\mathcal{E}_{\text{psi}}</math>) of the Psi Field.
* <math>\Psi</math> represents the scalar psi field, and <math>\mathbf{B}_{\text{psi}}</math> represents the psi magnetic field.
* Accounts for both scalar psi energy and psi magnetic energy.

=== Psi Field Wave Equation ===
<math>\Box^2 \Psi - \frac{1}{c^2} \frac{\partial^2 \Psi}{\partial t^2} = 0</math>
* Describes the wave-like behavior of psi phenomena.
* <math>\Box^2</math> represents the d'Alembertian operator.
* Indicates that psi waves propagate at the speed of light (<math>c</math>).

=== Psi Field Entropy Equation ===
<math>S_{\text{psi}} = - k \sum_i P_i \log P_i</math>
* Calculates the entropy (<math>S_{\text{psi}}</math>) of the Psi Field.
* <math>P_i</math> represents the probability distribution of psi states.
* Quantifies the uncertainty or disorder in the Psi Field configuration, analogous to entropy in information theory.