  We propose an architecture of a conjecture concerning the Riemann Hypothesis
in the form of an "alternative" to the P\'olya strategy: we construct a
Hamiltonian H_Polya whose spectrum coincides exactly with that of the Harmonic
Oscillator Hamiltonian H_osc if and only if the Riemann Hypothesis holds true.
In other words, it can be said that we formulate the Riemann Hypothesis by
means of a non-commutative structure on the real axis, viz., that of the
Harmonic Oscillator, by an equation of the type H_Polya(H_osc) = H_osc: the
Harmonic Oscillator operator, if viewed as an argument of H_Polya, reproduces
itself.
