Electromagnetism in the aether

Here’s the explanation of electromagnetism in the aether lattice model in ASCII format:

ELECTROMAGNETISM IN THE AETHER LATTICE MODEL

1. COULOMB'S LAW (ELECTRIC FORCE)
Electric force arises from lattice tension gradients between charges:

F_e = k_a * (q1 * q2) / r^2

Where:

:F_e = Electric force
:q1, q2 = Electric charges (lattice distortions)
:r = Distance between charges
:k_a = Aether electrostatic constant (depends on lattice properties).

2. BIOT-SAVART LAW (MAGNETIC FIELD)
A moving charge creates a magnetic field by aligning distortions in the lattice:

B = (mu_a / 4pi) * (q * v * sin(theta)) / r^2

Where:

:B = Magnetic field strength
:q = Charge (distortion magnitude)
:v = Velocity of charge (rate of lattice distortion propagation)
:theta = Angle between velocity and observation point
:mu_a = Aether magnetic permeability.

3. FARADAY'S LAW (INDUCED ELECTRIC FIELD)
Changing magnetic fields induce electric fields:

curl(E) = - (dB / dt)

Where:

:E = Electric field (tension gradient in lattice)
:B = Magnetic field (alignment of distortions)
:t = Time.

4. AMPÈRE'S LAW WITH MAXWELL'S CORRECTION
Changing electric fields induce magnetic fields:

curl(B) = mu_a * J + mu_a * epsilon_a * (dE / dt)

Where:

:B = Magnetic field
:J = Current density (rate of charge motion through lattice)
:E = Electric field
:epsilon_a = Aether permittivity (related to lattice compressibility).

5. ELECTROMAGNETIC WAVE PROPAGATION
Electromagnetic waves propagate as coupled lattice oscillations:

laplacian(E) = mu_a * epsilon_a * (d^2E / dt^2)
laplacian(B) = mu_a * epsilon_a * (d^2B / dt^2)

Where the speed of light in the lattice is:

c = 1 / sqrt(mu_a * epsilon_a)

6. NOVEL PREDICTIONS

:Lattice Quantization:
:Electric and magnetic fields might show discrete changes at small scales if the lattice is quantized.
:Nonlinear Effects:
:Strong fields could modify local lattice properties, leading to deviations from classical predictions.
:Variable Constants:
:The values of mu_a and epsilon_a depend on lattice density and rigidity, which may vary in high-energy regions.