  Unconventional superconductivity and in particular triplet superconductivity
have been front and center of topological materials and quantum technology
research. Here we report our observation of triplet superconductivity in
nonmagnetic CoSi$_2$/TiSi$_2$ heterostructures on silicon. CoSi$_2$ undergoes a
sharp superconducting transition at a critical temperature $T_c \approx$ 1.5 K,
while TiSi$_2$ is a normal metal. We investigate conductance spectra of both
two-terminal CoSi$_2$/TiSi$_2$ tunnel junctions and three-terminal T-shaped
CoSi$_2$/TiSi$_2$ superconducting proximity structures. We report an
unexpectedly large spin-orbit coupling in CoSi$_2$ heterostructures. Below
$T_c$, we observe (1) a narrow zero-bias conductance peak on top of a broad
hump, accompanied by two symmetric side dips in the tunnel junctions, (2) a
narrow zero-bias conductance peak in T-shaped structures, and (3) hysteresis in
the junction magnetoresistance. These three independent and complementary
observations are indicative of chiral $p$-wave pairing in CoSi$_2$/TiSi$_2$
heterostructures. This chiral triplet superconductivity and the excellent
fabrication compatibility of CoSi$_2$ and TiSi$_2$ with present-day silicon
integrated-circuit technology facilitate full scalability for potential use in
quantum-computing devices.
