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Nov 2, 2022 at 5:33 comment added astronautgravity Responding to @John's edit. Classical electromagnetism is perfectly linear. Non-linearities appear only when one considers loop corrections in quantum electrodynamics, arxiv.org/abs/hep-th/0406216, or extensions of electromagnetism, arxiv.org/abs/hep-th/0309108. The quantum corrections are tiny, ~1% or less, and, for all practical intents and purposes, unseen. Certainly these non-linear effects are unmeasurable with a standard bar magnet interacting with Earth's magnetic field.
Oct 31, 2022 at 21:24 history edited John CC BY-SA 4.0
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Oct 31, 2022 at 17:06 comment added Anyone I agree with you that the magnetic field does influence the magnetic field of a bar magnet and will apply a torque to the bar magnet. I think that this influence will also change the magnetic field of the bar magnet. The change might be very slight but it would change the field and the way that it would be measured. Even if the bar magnet is aligned with the magnetic field of the earth and there isn't any torque applied to the bar magnet the earth's magnetic field will still have an impact.
Oct 31, 2022 at 13:49 history answered John CC BY-SA 4.0