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Classical electron radius
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== Discussion == The classical electron radius appears in the [[classical limit]] of modern theories as well, including non-relativistic [[Thomson scattering]] and the relativistic [[Klein–Nishina formula]]. Also, <math>r_\text{e}</math> is roughly the length scale at which [[renormalization]] becomes important in [[quantum electrodynamics]]. That is, at short-enough distances, quantum fluctuations within the vacuum of space surrounding an electron begin to have calculable effects that have measurable consequences in atomic and [[particle physics]]. Based on the assumption of a simple mechanical model, attempts to model the electron as a non-point particle have been described by some as ill-conceived and counter-pedagogic.<ref name="curtis74"> {{cite book | last = Curtis | first = L.J. | year = 2003 | title = Atomic Structure and Lifetimes: A Conceptual Approach | url = https://books.google.com/books?id=KmwCsuvxClAC&pg=PA74 | page = 74 | publisher = [[Cambridge University Press]] | isbn = 0-521-53635-9 }}</ref>
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