  The field of high energy nuclear collisions has witnessed a surge of interest
in the role played by hydrodynamic fluctuations. Hydrodynamic fluctuations may
have significant effects on matter created in heavy-ion accelerators whose
trajectories in the plane of temperature versus chemical potential pass near a
possible critical endpoint. We extend previous studies to explore the impact of
these fluctuations on Hanbury Brown-Twiss interferometry of identical hadrons.
With an appropriately defined correlation function we find that the
fluctuations increase substantially when the trajectory passes near a critical
endpoint, and also displays a damped oscillatory behavior in the rapidity
distance $\Delta y$ unlike that originating from initial-state fluctuations.
