  Spin-triplet topological superconductors should exhibit many unprecedented
electronic properties including fractionalized electronic states relevant to
quantum information processing. Although UTe$_2$ may embody such bulk
topological superconductivity, its superconductive order-parameter
$\Delta(\mathbf{k})$ remains unknown. Many diverse forms for
$\Delta(\mathbf{k})$ are physically possible in such heavy fermion materials.
Moreover, intertwined density waves of spin (SDW), charge (CDW) and pairs (PDW)
may interpose, with the latter state exhibiting spatially modulating
superconductive order-parameter $\Delta(\mathbf{r})$, electron pair density and
pairing energy-gap. Hence, the newly discovered CDW state in UTe$_2$ motivates
the prospect that a PDW state may exist in this material. To search for it, we
visualize the pairing energy-gap with $\mu$$eV$-scale energy-resolution using
superconductive STM tips. We detect three PDWs, each with peak-peak gap
modulations circa 10 $\mu$$eV$ and at incommensurate wavevectors
$\mathbf{P}_{i=1,2,3}$ that are indistinguishable from the wavevectors
$\mathbf{Q}_{i=1,2,3}$ of the prevenient CDW. Concurrent visualization of the
UTe$_2$ superconductive PDWs and the non-superconductive CDWs reveals that
every $\mathbf{P}_i$ : $\mathbf{Q}_i$ pair exhibits a relative phase
$\delta\phi \approx \pi$. From these observations, and given UTe$_2$ as a
spin-triplet superconductor, this PDW state should be a spin-triplet pair
density wave. While such states do exist in superfluid $^{3}$He, for
superconductors they are unprecedented.
