A Complexity-Brightness Correlation in Gamma Ray Bursts
  We observe strong correlations between the temporal properties of gamma ray
bursts (GRBs) and their apparent peak brightness. The strongest effect (with a
significance level of 10^{-6}) is the difference between the brightness
distributions of simple bursts (dominated by a single smooth pulse) and complex
bursts (consisting of overlapping pulses). The latter has a break at a peak
flux of 1.5 ph/cm^2/s, while the distribution of simple bursts is smooth down
to the BATSE threshold. We also observe brightness dependent variations in the
shape of the average peak aligned time profile (ATP) of GRBs. The decaying
slope of the ATP shows time dilation when comparing bright and dim bursts while
the rising slope hardly changes. Both slopes of the ATP are deformed for weak
bursts as compared to strong bursts. The interpretation of these effects is
simple: a complex burst where a number of independent pulses overlap in time
appears intrinsically stronger than a simple burst. Then the BATSE sample of
complex bursts covers larger redshifts where some cosmological factor causes
the break in the peak brightness distribution. This break could correspond to
the peak in the star formation rate that was recently shown to occur at a
redshift of z~1.5.
