  The ubiquity of turbulent flows in nature and technology makes it of utmost
importance to fundamentally understand turbulence. Kolmogorov's 1941 paradigm
suggests that for strongly turbulent flows with many degrees of freedom and its
large fluctuations, there would only be \emph{one} turbulent state as the large
fluctuations would explore the entire higher-dimensional phase space. Here we
report the first conclusive evidence of multiple turbulent states for large
Reynolds number $\text{Re}=\mathcal{O}(10^6)$ (Taylor number
$\text{Ta}=\mathcal{O}(10^{12})$) Taylor-Couette flow in the regime of ultimate
turbulence, by probing the phase space spanned by the rotation rates of the
inner and outer cylinder. The manifestation of multiple turbulent states is
exemplified by providing combined global torque and local velocity
measurements. This result verifies the notion that bifurcations can occur in
high-dimensional flows i.e. very large $\text{Re}$) and questions Kolmogorov's
paradigm.
