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arXiv · 1601.01797

The Riemann zeros as spectrum and the Riemann hypothesis

Germán Sierra
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Abstract

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.

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Germán Sierra. 2016-01-08. The Riemann zeros as spectrum and the Riemann hypothesis. https://doi.org/10.3390/sym11040494

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