The math works, but that doesn't mean I have actual, physical negative frequencies.
Exactly. Two more simple examples:
1st: Pythagoras
a^2 + b^2 = c^2. Let a = 3 and b = 4.
Which leads to c^2 = 25, result is +5... Not quite: (and congrats to those who could follow without a calculator
There are two results, +5 and -5 mathematically, however, only one, +5, makes sense in a physical world, since there is no negative length.
2nd: Give me a few (hundred?) years and I'll come up with a mathematical model where the sun, planets and the rest of the universe is circling around the earth.
It wouldn't make sense whatsoever, but mathematically it still would be true.
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