Size Electron: Energy Increase, Size Unchanged?

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Increasing the energy of an electron does not change its size, which remains effectively point-like. The concept of a point-like particle implies that while it has no spatial extent, it can still interact through a potential that behaves like 1/r. This means that the electron can exert influence over a distance, akin to having "infinitely long hands." The idea of energy existing without a physical size raises intriguing questions about the nature of particles and their interactions. Ultimately, the electron's behavior is defined by its energy rather than any change in size.
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If the energy of an eletron is increased, is its size also increased? If not, how can it be that something (energy) can have the size of nothing?
 
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The electron has "infinitely long hands" to interact. It is very sticky. When they say it is "point-like", thay mean the interaction potential has a simple form like 1/r where there is a maximum at only one point.
 
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