  Terahertz (THz)-band communications are celebrated as a key enabling
technology for next-generation wireless systems that promises to integrate a
wide range of data-demanding and delay-sensitive applications. Following recent
advancements in optical, electronic, and plasmonic transceiver design,
integrated, adaptive, and efficient THz systems are no longer far-fetched. In
this paper, we present a progressive vision of how the traditional "THz gap"
will transform into a "THz rush" over the next few years. We posit that the
breakthrough that the THz band will introduce will not be solely driven by
achievable high data rates, but more profoundly by the interaction between THz
sensing, imaging, and localization applications. We first detail the
peculiarities of each of these applications at the THz band. Then, we
illustrate how their coalescence results in enhanced environment-aware system
performance in beyond-5G use cases. We further discuss the implementation
aspects of this merging of applications in the context of shared and dedicated
resource allocation, highlighting the role of machine learning.
