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This theoretical exploration finds two kinetic energy values for charges moving at velocity V, suggesting novel insights into particle-wave behavior.
Kinetic energy of a charge moving at the velocity of v has two different values: Kinetic energy of electron , (proton) Tkin id =mc2 [ln |1-v/c|+ (v/c) / (1-v/c) ] in direction of motion of electron, (proton) as particle, where v is velocity of electron, (proton). Kinetic energy of electron , (proton) Tkin ad = mc2 [ln |1+v/c|- (v/c) / (1+v/c) ] against direction of motion of electron, (proton) as wave, where v is velocity of electron, (proton).
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Lubomir Vlcek (2026) studied this question.
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