  We show that geodesics in the directed landscape have $3/2$-variation and
that weight functions along the geodesics have cubic variation.
  We show that the geodesic and its landscape environment around an interior
point has a small-scale limit. This limit is given in terms of the directed
landscape with Brownian-Bessel boundary conditions. The environments around
different interior points are asymptotically independent.
  We give tail bounds with optimal exponents for geodesic and weight function
increments.
  As an application of our results, we show that geodesics are not
H\"older-$2/3$ and that weight functions are not H\"older-$1/3$, although these
objects are known to be H\"older with all lower exponents.
