Implications of the Tentative Association between GW150914 and a {\it
  Fermi}-GBM Transient
  The merger-driven Gamma-ray Bursts (GRBs) and their associated gravitational
wave (GW) radiation, if both successfully detected, have some far-reaching
implications, including for instance: (i) The statistical comparison of the
physical properties of the short/long-short GRBs with and without GW detection
can test the general origin model; (ii) Revealing the physical processes taking
place at the central engine; (iii) Measuring the velocity of the Gravitational
wave directly/accurately. In this work we discuss these implications in the
case of possible association of GW150914/ GBM transient 150914. We compared GBM
transient 150914 with other SGRBs and found that such an event {may be} a
distinct outlier in some statistical diagrams, possibly due to its specific
binary-black-hole merger origin. However, the presence of a "new" group of
SGRBs with "unusual" physical parameters is also possible. If the outflow of
GBM transient 150914 was launched by the accretion onto the nascent black hole,
the magnetic activity rather than the neutrino process is likely responsible
for the energy extraction and the accretion disk mass is estimated to be $\sim
10^{-5}~M_\odot$. The GW150914/GBM transient 150914 association, {if confirmed,
would} provide the first opportunity to directly measure the GW velocity and
its departure from the speed of the light {should be within} a factor of $\sim
10^{-17}$.
