  Nitrogen-vacancy centers are spatially resolved probes of current noise. So
far, current noise sensing with NV centers has primarily been used as a way to
probe equilibrium transport coefficients. We develop a framework for computing
the spatiotemporal correlations of nonequilibrium current noise in the
Boltzmann regime, and apply it to two-dimensional metals in current-biased
steady states. We argue that the spatial structure of the noise reveals the
nonequilibrium nature of the electron distribution function, and more generally
reveals the nature and lifetimes of the excitations responsible for transport.
We estimate the visibility of these signatures in near-term experiments.
