Editing Openai/67adcb50-c734-800d-a3f1-6f36af4a8d3a (section)

===== 5. Mathematical Representation =====

To model electricity as an etheric disturbance, we consider the interplay of vibratory frequencies and sympathetic resonance.

5.1. Sympathetic Vibration Equation

The transmission of sympathetic vibrations can be represented as:

F(t)=∑n=1NAncos⁡(ωnt+ϕn)F(t) = \sum_{n=1}^{N} A_n \cos(\omega_n t + \phi_n)F(t)=n=1∑NAncos(ωnt+ϕn)
Where:
* F(t)F(t)F(t): Resultant vibratory force at time ttt
* AnA_nAn: Amplitude of the nnn-th harmonic
* ωn\omega_nωn: Angular frequency of the nnn-th harmonic
* ϕn\phi_nϕn: Phase shift of the nnn-th harmonic

5.2. Etheric Strain and Electric Field

Considering Tesla's view of electricity as ether under strain, we can relate the electric field E\mathbf{E}E to the etheric strain S\mathbf{S}S:

E=−∇Φ−∂A∂t\mathbf{E} = -\nabla \Phi - \frac{\partial \mathbf{A}}{\partial t}E=−∇Φ−∂t∂A
Where:
* Φ\PhiΦ: Scalar potential representing etheric density
* A\mathbf{A}A: Vector potential representing etheric flow