The Riemann Zeros as Spectrum and the Riemann Hypothesis

  title={The Riemann Zeros as Spectrum and the Riemann Hypothesis},
  author={Germ{\'a}n Sierra},
  • G. Sierra
  • Published 8 January 2016
  • Mathematics
  • Symmetry
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… 
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