Eli5: why do we incorporate imaginary numbers in various physics equations.

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Eli5: why do we incorporate imaginary numbers in various physics equations.

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Imaginary/complex numbers are used a lot to represent time. For instance with waves (say electrical/magnetic waves for less theoretical) you alter the phase to adjust position, and phase equations use imaginary/complex numbers.

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When you listen to recorded music for instance, the speaker you play it thru needs amplification and besides just the impedance of the the speaker it also has phase, so 2 speakers with the same frequency response and impedance could still sound different based on their phase (though newer tech like class-D amps seem to mostly be phase-independent).

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