How atomic clocks are influenced by Earth's magnetic field. Lorentz-Zeeman effect
Contrary to what relative scientists claim, the change in tick rate for atomic clocks in space is almost entirely caused by the Earth's magnetic field due to the Zeeman effect. This is an effect that influences the enrgy levels of atoms in magnetic fields, and therefore their absorbtion and emmsion frequency. This is because of the magnetic force (Lorentz force) which acts on charges in a magnetic field which depends on the speed of the charges and on the intensity of the magnetic field:
F=q(vxB).
This force effectively acts on electrons in atoms and changes their energy levels and thus their absorbtion and emmision frequencies, which is known as the Zeeman-Lorentz effect (both got a Nobel prize for this discovery in 1902).
Because the intensity of the earth's magnetic field is not the same on ground level as in the sky or space, and because the speed of the charges is also not the same, the atomic clocks will tick at different rates depending on their position (altitude) and speed relative to the magnetic field.

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