Monkeymind comments on Configurations and Amplitude - Less Wrong
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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?