Although the spectrum of the hydrogen atom has been known for over a century, atomic hydrogen's dispersion spectrum is not as well known and hydrogen's gravity spectrum has not yet been measured at all. This is because unlike the single photon exchanges of charge force, dispersion and gravity forces involve two photon exchanges and are much smaller and so their quantum energies and cross sections are therefore much more difficult to measure.
Dispersive or dielectric forces are the dipole-induced-dipole attraction of neutral matter and scale as the product of ionization energy, polarizabilty2
, and 1/r6
. Thus dispersion is the result of the complementary exchanges of two photons and not just one photon as in charge force and so dispersion is always attractive, just like gravity. The dispersion observer is just as excited as the dispersion source with dispersion photons. Similar to dispersion, gravity also represents the exchange of two photons, but now with the CMB creation wrapped photons, not local photons. As a result, gravity is then just the ultimate dipole-induced-dipole variant of dispersion.
Thus a gravity bond energy is GmH2
/r, which of course in aethertime is just scaled charge energy as q2
/ r, which is charge force scaled by the dimensionless size of the universe, tB
, the ratio of the Bohr orbit period to the orbit period of the universe. Note that the hydrogen atom mass no longer appears in the gravity energy of two hydrogens and instead, the gravity of two hydrogens is just the square of the product of charge and the speed of light. In other words, the amplitude of the dipole energy qc is what determines both charge and gravity forces as well as the in between dispersion force.
The dispersion radius of two hydrogens is where dispersion and gravity energies are equal and is at rd
= (3/4 EH a2
/ G / mH2
= 70 nm, where a
is the hydrogen atom polarizability. Two hydrogens in circular orbits do not radiate quadrupole gravity waves and so there needs to be other particle exchanges to further cool and condense atomic into solid molecular hydrogen. The gravity biphoton condensation of atomic hydrogen into stars is of course the basis of the single photon emission that lights the universe.
The dispersion limit is then where the dispersion radius exceeds the product of body radii as rd
> 1.44e5 (r1
which is roughly 144,000 times the body radius product to the 3/5th power. The moon Io of Jupiter has just 3e-5 of its gravity energy as dispersion while earth's moon has just 1.6e-4 of its gravity as dispersion energy. Dispersion energy is a small but significant part of most gravity orbits and the heat generated by dispersion energy is part of the radiant flux from each orbiting body as well.