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The second term in the radiation formula, Eq.(69), is new. Under what circumstance does it dominate? Consider
the circumstance where the magnetic dipole oscillates with proper
frequency
. By averaging the emitted
radiation over one cycle, one finds
Thus the criterion for ``violent'' acceleration is that its inverse,
the FermiWalker length of the accelerated point object be small compared to the emitted wavelength,
or equivalently

(71) 
Recall that (proper acceleration) is the time it takes for the
oscillator to acquire a relativistic velocity relative to an inertial
frame. Also recall that is the time for one oscillation cycle.
Consequently, the criterion for ``violence'' is that

(72) 
When this condition is fulfilled, the Larmor contribution to the
radiation is eclipsed by the Rindler contribution.
Ulrich Gerlach
20011009