— How exactly is a singularity (and electrons) a point with no volume? Space is in 3 dimensions, so everything has to has some thickness, right?
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Singularities are not technically proven to exist yet. We don’t actually know what’s going on inside a black hole. It may not be a true singularity. E.g., it may have volume, even if it’s the minimum possible volume (planck sized).
The true nature of point particles is also complicated, and how we interpret them depends on which view of the physics you’re taking. Right now, quantum field theories are the thing. So point particles aren’t classical balls or points. They’re excitations of an underlying electron field or photons are excitations of the electromagnetic field, etc.
The point-like properties manifest as the location of maximum energy and in how they interact with other fields and objects. The wavelike properties are viewable when the conditions don’t force the excitation to behave like a point.
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