everywhere i’ve looked states this as a fact but never actually explains why
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Two errant fields interacting do not produce a force. A force has to act on some object, and for a simple explanation fields are not objects and do not feel force. Now multiple magnetic fields do interact with each other, but it is in an additive sense where the strength of the net field is what matters at any given point. When a magnetized object is placed in the field it then feels a force that is proportinal to the field strength and direction at that location. Forces on their own really mean nothing, they are just useful ways of describing interactions between objects (classically).
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