  This paper presents a stochastic geometry model for the investigation of
fundamental information theoretic limitations in wireless networks. We derive a
new unified multi-parameter cut-set bound on the capacity of networks of
arbitrary Poisson node density, size, power and bandwidth, under fast fading in
a rich scattering environment. In other words, we upper-bound the optimal
performance in terms of total communication rate, under any scheme, that can be
achieved between a subset of network nodes (defined by the cut) with all the
remaining nodes. Additionally, we identify four different operating regimes,
depending on the magnitude of the long-range and short-range signal to noise
ratios. Thus, we confirm previously known scaling laws (e.g., in bandwidth
and/or power limited wireless networks), and we extend them with specific
bounds. Finally, we use our results to provide specific numerical examples.
