  We systematically investigate the variability of polarized X-rays on a
timescale of a few seconds in the low/hard state of the black hole binary
Cygnus X-1. The correlation between polarization degrees and angles with X-Ray
intensity was analyzed using data collected by the Imaging X-ray Polarimetry
Explorer (IXPE) in June 2022. Given that X-Ray variability in the low/hard
state of Cygnus X-1 is non-periodic, flux peaks were aggregated to suppress
statistical fluctuations. We divided the temporal profiles of these aggregated
flux peaks into seven time segments and evaluated the polarization for each
segment. The results reveal that the polarization degree was 4.6\%$\pm$1.2 and
5.3\%$\pm$1.2 before and after the peak, respectively, but decreased to
3.4\%$\pm$1.1 and 2.7\%$\pm$1.1 in the segments including and immediately
following the peak. Furthermore, the polarization angle exhibited a slight
shift from approximately 30$^{\circ}$ to $\sim$40$^{\circ}$ before and after
the peak. These findings suggest that the accretion disk contracts with
increasing X-Ray luminosity, and the closer proximity of the X-Ray emitting gas
to the black hole may lead to reduced polarization.
