  We propose that the dynamics of Kerr black holes is strongly constrained by
the principle of gauge symmetry. We initiate the construction of EFTs for Kerr
black holes of any integer quantum spin s using Stueckelberg fields, and show
that the known three-point Kerr amplitudes are uniquely predicted using massive
higher-spin gauge symmetry. This symmetry is argued to be connected to an
enhanced range of validity for the Kerr EFTs. We consider the closely related
root-Kerr electromagnetic solution in parallel, for which the dynamical
interactions with photons are also constrained by massive higher-spin gauge
symmetry. Finally, the spin-s Compton amplitudes are analyzed, and we discuss
contact-term constraints at s=2 from Ward identities.
