  We present a spectral realization of the Riemann zeros based on the
propagation of a massless Dirac fermion in a region of Rindler spacetime and
under the action of delta function potentials localized on the square free
integers. The corresponding Hamiltonian admits a self-adjoint extension that is
tuned to the phase of the zeta function, on the critical line, in order to
obtain the Riemann zeros as bound states. The model suggests a proof of the
Riemann hypothesis in the limit where the potentials vanish. Finally, we
propose an interferometer that may yield an experimental observation of the
Riemann zeros.
