g. The Riemann dynamics possesses complex periodic orbits (instantons) whose periods are multiples of i*pi.
h. For the Riemann operator, leading-order semiclassical mechanics is exact: as in the case of the Selberg
trace formula , zeta(1/2 + it) is a product over classical periodic orbits, without corrections.
i. The Riemann dynamics is quasi-one-dimensional. There are two indications of this. First the number of zeros less
than t increases as t log t; for a D-dimensional scaling system, with energy parameter alpha(E)
proportional to 1/h-bar), the number of energy levels increases as alpha(E)D.
Second, the presence of the factor p-m/2 in the counting function fluctuation formula (2.6) rather
than the determinant in the more general Gutzwiller formula (2.9), suggests that there is a single expanding directon and no
j. The functional equation for zeta(s) resembles the corresponding relation - a
consequence of hermiticity - for the quantum spectral determinant.
We have speculated  that the conjectured Riemann operator H might be some quantization of the
following extraordinarily simple classical hamiltonian function H(X,P) of a single coordinate
and its conjugate momentum P:
Hcl(X,P) = XP.
The authors then go on to outline the reasons for this tentative association on XP with zeta(s).
 M.V. Berry and J.P. Keating, H = xp and the Riemann zeros, in Supersymmetry and Trace
Formulae: Chaos and Disorder, J. P. Keating, D.E. Khmelnitskii, and I.V. Lerner, eds., Plenum, New York, 1998, pp. 355-367.
 N.L. Balzas and A. Voros, Chaos on the pseudosphere, Phys. Rep., 143, (1986), pp. 109 - 240.
 J.M. Robbins , Maslov indices in the Gutzwiller trace formula,
Nonlinearity, 4, (1991), pp. 343-363.
 N. Katz and P.
Sarnak , Zeros of Zeta Functions, Their Spacings and Their Spectral Nature, preprint, 1997.
 P. Sarnak, Quantum Chaos, symmetry and zeta functions, Curr. Dev. Math. (1997), pp. 84 -115.
 A. Connes , Formule de trace en geometrie non-commutative et hypothese de Riemann,
C.R. Acad. Sci. Paris, 323 (1996), pp. 1231-1236.
[(2.6) and (2.9) are internal references]