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8/13/2019 R.P. Feynman - A relativistic cut-off for classical electrodynamics
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the Ao-quanta . What results is that light goes
by retarded waves, A0-quanta by advancedwaves, and the rad iation resistance of both
contribute posit ively . Thus an accelerat ing
charge wil l emit light, but it is predestined that
negative energy Ao-quanta were coming toward
it to be absorbed , st ill further increas ing theradiat ion resistance . This avoids the divergent
solutions only to predict observable advancede fects .
For these reasons it is better to restrict one-
' This may be understood in that , as indicated above,the energy-absorbing walls of the box absorb retardedlight waves , but cannot be presumed to absorb retardedXo-quanta. Instead , in fact, they spontaneously emit suchwaves (warming up in the process) and non-divergentsolutions result only if they emit just exactly the Xo-quanta which can later be absorbed by the accelerating harge at the center .
self to the case of a decaying /-function (dis-
tribut ion of A) for which a consistent theorycan be made. Then the mod iica tions of classica l
electrodynamics will only appear at very small
distances from a charge . On the other hand,
these distances are well within the Compton
wave-length so that modiicat ions caused byquantum mechanics would in any case appear
before the ones here discussed . There is, there-
fore , litt le reason to believe that the ideas used
here to solve the divergences of classical electro-
dynamics wil l prove fruitful for quantum elec-
trodynamics. Nevertheless, the corresponding
modiica tions were attempted with quantum
electrodynamics and appear to solve some of
the divergence dif iculties of that theory . This
will be discussed in a future paper .