Editing Nexus World (section)

== Nexus Energy Field Theory ==

=== Energy Density Tensor ===
The distribution of energy within Nexus Worlds is described by an energy density tensor that extends the traditional energy-momentum tensor to account for Nexus-specific contributions:

<math>T^{\mu\nu}_{\text{Nexus}} = \rho u^\mu u^\nu + p\left(g^{\mu\nu} + \frac{\delta N^{\mu\nu}_{\text{Nexus}}}{c^2}\right)</math>

Where:
* <math>\rho</math> is the energy density.
* <math>u^\mu</math> is the four-velocity of the energy flow.
* <math>p</math> is the pressure.
* <math>\delta N^{\mu\nu}_{\text{Nexus}}</math> is the Nexus Energy Field contribution to the stress-energy tensor.

This tensor provides a comprehensive description of how energy is distributed and flows within a Nexus World, accounting for both conventional and Nexus-specific effects.

=== Interdimensional Energy Flux ===
Energy exchange between Nexus Worlds is facilitated by interdimensional energy flux, which can be quantified using the following flux equation:

<math>\Phi_{\text{Nexus}} = \int_S \mathbf{E}_{\text{Nexus}} \cdot d\mathbf{A} + \int_V \frac{\partial \mathbf{B}_{\text{Nexus}}}{\partial t} dV</math>

Where:
* <math>\Phi_{\text{Nexus}}</math> is the Nexus energy flux.
* <math>\mathbf{E}_{\text{Nexus}}</math> and <math>\mathbf{B}_{\text{Nexus}}</math> are the Nexus-specific electric and magnetic fields.
* <math>S</math> is the surface area through which the flux passes.
* <math>V</math> is the volume under consideration.

This equation highlights how Nexus Energy Fields interact with electromagnetic fields to facilitate the transfer of energy across dimensions.