In this talk we revise a recently established
Hardy inequality in twisted tubes
on the background of transience of the Brownian motion.
We begin by recalling the classical Hardy inequality
and its relation to geometric, spectral, stochastic
and other properties of the underlying Euclidean space.
After discussing the complexity of the problem
when reformulated for quasi-cylindrical subdomains,
we focus on the prominent class of tubes.
As the main result, we give a new proof of the Hardy inequality
due to a twist of three-dimensional tubes of uniform cross-section.