  We formulate the Boltzmann kinetic equations for interacting tilted Dirac
fermions in two space dimensions characterized by a tilt parameter
$0\le\zeta<1$. Solving the linearized Boltzmann equation, we find that the
broadening of the Drude pole is enhanced by
$\kappa(\zeta)\times(1-\zeta^2)^{-1/2}$, where the $\kappa$ is
interaction-induced enhancement factor. The intensity of the Drude pole is also
anisotropically enhanced by $(1-\zeta^2)^{-1}$. The ubiquitous "redshift"
factors $(1-\zeta^2)^{1/2}$ can be regarded as a manifestation of an underlying
spacetime structure in such solids. The additional broadening $\kappa$
indicates that interaction effects are more pronounced for electrons in a
$\zeta$-deformed Minkowski spacetime of tilted Dirac fermions.
