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When Fields Are Not Degrees of Freedom, Mario Hubert (Columbia)
4:30 pm
When Fields Are Not Degrees of Freedom, Mario Hubert (Columbia)
@ CUNY Grad Center, 5307
Nov 28 @ 4:30 pm – 6:30 pm
We show that in the Maxwell–Lorentz theory of classical electrodynamics most initial values for fields and particles lead to an ill-defined dynamics, as they exhibit singularities or discontinuities along light-cones. This phenomenon suggests that the Maxwell equations and the Lorentz force law ought rather to be read as a system of delay differential equations, that is, differential equations that relate a function and its derivatives at different times. This mathematical reformulation, however, leads to physical[...]
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