For example, in a cyclotron, where the jerk points opposite to the velocity, the radiation reaction is directed opposite to the velocity of the particle, providing a braking action.
12.
Nathan Rosen continued to argue as late as the 1970s, on the basis of a supposed paradox involving the radiation reaction, that gravitational radiation is not in fact predicted by general relativity.
13.
Classically, a dipole in the vacuum is not acted upon by any " external " field : if there are no sources other than the dipole itself, then the only field acting on the dipole is its own radiation reaction field.
14.
The spectral density of the vacuum field is fixed by the form of the radiation reaction field, or vice versa : because the radiation reaction field varies with the third derivative of, the spectral energy density of the vacuum field must be proportional to the third power of in order for to hold.
15.
The spectral density of the vacuum field is fixed by the form of the radiation reaction field, or vice versa : because the radiation reaction field varies with the third derivative of, the spectral energy density of the vacuum field must be proportional to the third power of in order for to hold.
16.
In the current example the coupling of a dipole oscillator to the electromagnetic field has a dissipative component, in the form of the zero-point ( vacuum ) field; given the existence of radiation reaction, the vacuum field must also exist in order to preserve the canonical commutation rule and all it entails.
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