If someone says that square circles exist and they have the math to prove it, do I need to check their math?
If someone had a theory that made useful predictions about the behaviour of reality, and could be used to make cool technology like transistors, and the only way you could get it to work and give those predictions was to assume the existence of hypothetical, mathematical square circles, who are you to call that theory "wrong" or "false"? The universe isn't obligated to be easy for us to understand, any more than it's obligated to be easy to understand for a mouse.
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Theories don't explain- they predict. Consider gravity- Newton's law tells you the attraction between two masses, and it's mostly consistent with the mostly elliptical orbits that we observe the planets moving in.
But why does gravity exist? Why does it take that particular form? The theory is silent. It tells you how things will behave, but offers no further explanation.
So, electrons have mass, and charge, but as far as we can tell their radius is indistinguishable from zero. Does that count as 0 dimensions for you?
The gravitational equation is effectively just* a summary of the observed data, so it is no surprise that it predicts. I believe Monkeymind finds this unsatsifactory, but I'm still not sure exactly how. Perhaps he defines theory differently. I'm a little curious what actually causes the Earth to pull on me, rather than, say, push me away. At the time Newton said he had no hypothesis for that, but now the same equation constitutes a theory or explanation? I feel like these terms are used a little too loosely.
*Not to imply that finding the equation that fit the data wasn't an important achievement