  The growth of correlation lengths in equilibrium glass-forming liquids near
the glass transition is considered a critical finding in the quest to
understand the physics of glass formation. These understandings helped us
understand various dynamical phenomena observed in supercooled liquids. It is
known that at least two different length scales exist - one is of thermodynamic
origin, while the other is dynamical in nature. Recent observations of glassy
dynamics in biological and synthetic systems where the external or internal
driving source controls the dynamics, apart from the usual thermal noise, led
to the emergence of the field of active matter. A question of whether the
physics of glass formation in these active systems is also accompanied by
growing dynamic and static lengths is indeed timely. In this article, we probe
the growth of dynamic and static lengths in a model active glass system using
rod-like elongated probe particles, an experimentally viable method. We show
that the dynamic and static lengths in these non-equilibrium systems grow much
more rapidly than their passive counterparts. We then offer an understanding of
the violation of the Stokes-Einstein relation and Stokes-Einstein-Debye
relation using these lengths via a scaling theory.
