Editing Psionics (section)

== New Psi Equations Relating to Consciousness ==

==== '''Psi-Consciousness Interaction Equation''': ====
<math>\nabla \cdot (\Psi \vec{E}) - \nabla \cdot (\Psi \vec{B}) = -\frac{{\partial \Psi}}{{\partial t}} + \nabla^2 \Psi + \kappa \cdot C</math>
* This equation builds upon the concept of the psi energy density scalar field (<math>\Psi</math>) interacting with electromagnetic-like fields (<math>\vec{E}</math> and <math>\vec{B}</math>), as well as with consciousness (<math>C</math>).
** <math>\nabla \cdot (\Psi \vec{E})</math> and <math>\nabla \cdot (\Psi \vec{B})</math> describe the divergence of psi-induced electric and magnetic fields, respectively.
** <math>\frac{{\partial \Psi}}{{\partial t}}</math> represents the temporal evolution of the psi energy density scalar field.
** <math>\nabla^2 \Psi</math> represents the spatial distribution of psi energy density.
** <math>\kappa</math> is a constant representing the strength of interaction between psi phenomena and consciousness.
** <math>C</math> represents a measure of consciousness, which could be derived from neural activity patterns, information processing metrics, or other indicators of conscious awareness.

==== '''Psi Information Integration Equation''': ====
<math>\Phi = \int \left( \Phi^{\mathrm{max}}_{\mathrm{unc}} - \Phi^{\mathrm{max}} \right) P_O(o) \, do + \gamma \cdot I</math>
* This equation extends Integrated Information Theory (IIT) to incorporate psi-related information integration, where <math>\Phi</math> represents integrated information as in IIT.
** <math>\Phi^{\mathrm{max}}_{\mathrm{unc}}</math> and <math>\Phi^{\mathrm{max}}</math> represent the maximum integrated information in the absence of constraints and in the actual system, respectively.
** <math>P_O(o)</math> represents the probability distribution of system states, as in IIT.
** <math>\gamma</math> is a constant representing the degree to which psi-related information integration contributes to overall integrated information.
** <math>I</math> represents a measure of psi-related information integration, potentially derived from experimental data on psi phenomena or subjective reports of psi experiences.

==== '''Psi Neural Activation Equation''': ====
<math>\frac{\partial u(x, t)}{\partial t} = -u(x, t) + \int W(x - x') \, f(u(x', t)) \, dx' + \delta \cdot P</math>
* This equation extends neural field theory to incorporate the influence of psi phenomena on neural activation patterns.
** <math>u(x, t)</math> represents the activity of neural populations at position <math>x</math> and time <math>t</math>, as in the Wilson-Cowan model.
** <math>W(x - x')</math> represents the synaptic connectivity between neurons, as in the Wilson-Cowan model.
** <math>f(u(x', t))</math> represents the neural activation function, as in the Wilson-Cowan model.
** <math>\delta</math> is a constant representing the influence of psi phenomena on neural activation.
** <math>P</math> represents a measure of psi-related neural activation, potentially derived from neuroimaging data during psi tasks or experiments.