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== Mathematical Representation of Nexus Forces == === Nexus Forces and Their Equations === Nexus Worlds exert unique forces within the multiverse, influencing other realities and stabilizing the multiversal structure. '''''Nexus Gravitational Force:''''' Nexus Worlds generate a modified gravitational force, influenced by the interdimensional connections. The force can be expressed as: <math>F_{\text{Nexus}} = G \frac{m_1 m_2}{r^2} \left(1 + \frac{\kappa}{r^3}\right)</math> Where: * <math>G</math> is the gravitational constant, * <math>m_1</math> and <math>m_2</math> are the masses, * <math>r</math> is the distance between the objects, * <math>\kappa</math> is the Nexus coupling constant. '''''Nexus Electromagnetic Fields:''''' Nexus Worlds also influence electromagnetic fields, particularly at Nexus Points where interdimensional currents converge. The Nexus-modified Maxwell equations are: <math>\nabla \cdot \mathbf{E} = \frac{\rho_{\text{charge}}}{\epsilon_0} + \sigma_{\text{Nexus}}</math> <math>\nabla \times \mathbf{B} - \frac{1}{c^2} \frac{\partial \mathbf{E}}{\partial t} = \mu_0 \mathbf{J} + \gamma_{\text{Nexus}} \mathbf{E}</math> Where: * <math>\mathbf{E}</math> and <math>\mathbf{B}</math> are the electric and magnetic fields, * <math>\epsilon_0</math> and <math>\mu_0</math> are the permittivity and permeability of free space, * <math>\sigma_{\text{Nexus}}</math> and <math>\gamma_{\text{Nexus}}</math> are Nexus-specific field parameters.
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