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A strong correlation is reported between gamma-ray burst (GRB) pulse lags andafterglow jet-break times for the set of bursts (seven) with known redshifts,luminosities, pulse lags, and jet-break times. This may be a valuable cluetoward understanding the connection between the burst and afterglow phases ofthese events. The relation is roughly linear (i.e. doubling the pulse lag inturn doubles the jet break time) and thus implies a simple relationship betweenthese quantities. We suggest that this correlation is due to variation amongbursts of emitter Doppler factor. Specifically, an increased speed or decreasedangle of velocity, with respect to the observed line-of-site, of burst ejectawill result in shorter perceived pulse lags in GRBs as well as quickerevolution of the external shock of the afterglow to the time when the jetbecomes obvious, i.e. the jet-break time. Thus this observed variation amongGRBs may result from a perspective effect due to different observer angles of amorphologically homogeneous populations of GRBs.  Also, a conjecture is made that peak luminosities not only vary inverselywith burst timescale, but also are directly proportional to the spectral breakenergy. If true, this could provide important information for explaining thesource of this break.Comment: 3 pages including 3 color figures, to appear in "Gamma-Ray Burst and  Afterglow Astronomy 2001", Woods Hole; 5-9 Nov, 200

Kinematics of Gamma-Ray Bursts and Their Relationship to Afterglows