Electromagnetism in the aether: Difference between revisions

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Where:
Where:


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


2. BIOT-SAVART LAW (MAGNETIC FIELD)
2. BIOT-SAVART LAW (MAGNETIC FIELD)
Line 22: Line 22:
Where:
Where:


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


3. FARADAY'S LAW (INDUCED ELECTRIC FIELD)
3. FARADAY'S LAW (INDUCED ELECTRIC FIELD)
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Where:
Where:


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


4. AMPÈRE'S LAW WITH MAXWELL'S CORRECTION
4. AMPÈRE'S LAW WITH MAXWELL'S CORRECTION
Line 46: Line 46:
Where:
Where:


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


5. ELECTROMAGNETIC WAVE PROPAGATION
5. ELECTROMAGNETIC WAVE PROPAGATION
Line 63: Line 63:
6. NOVEL PREDICTIONS
6. NOVEL PREDICTIONS


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


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