  It is shown that the structures in the universe can be interpreted to show a
closed wheel of time, rather than a straight arrow. An analysis in $f(R)$
gravity model has been carried out to show that due to local observations a
small arc at any given spacetime point would invariably indicate an arrow of
time from past to future, though on a quantum scale it is not a linear flow but
a closed loop, a fact that can be examined through future observations.
