  I consider a pair of harmonic, electromagnetically coupled oscillators. Their
dynamic coupling is allowed in the near field, that is, for frequencies roughly
below ~c/r for virtual exchanges between two elementary entities. It is also
valid for tunneling photons from very distant and red-shifted matter in the
radiation gauge. In this case, the near magnetic field can be safely ignored. I
treat the problem using Planck's and Post's ensemble description of harmonic
oscillators. It is found that the correlated interacting modes have lower eigen
frequencies and positive zero-modes, their anticorrelating counterparts having
higher eigenfrequencies and negative zero-modes. While the former tend to
induce coherent states over large ensembles, the latter cannot. This applies to
all the modes of the near field, as well as to the transverse radiant modes. As
a result, an attractive -1/r long-range potential is found in all the
zero-modes of the near field, with a cosmological constant depending on the
disorder in the system, provided that the interacting modes be most strongly
cohered from the far infrared. This occurs naturally in Yilmaz's cosmology,
where the Zitterbewegung of very distant matter is felt in the far infrared by
the Zitterbewegung of local matter, in proportion to the frequencies of both,
which agrees with the principle of equivalence. The Machian inertia appears on
cosmic scales from bound coherent states through this tunneling electromagnetic
radiation. In an elliptic Universe, the very low frequency modes of the coupled
oscillators can be identified with those of their radiative antipodal image. As
a result, far infrared coherent modes are expected to arise in the Universe
that lies within their realm, in which the local oscillators intrinsically
partake, inducing gravity.
