In my previous post, I discuss the Fermi Energy needed to allow enough neutrinos to
live inside ordinary substances, in order to balance out the effects of an axial force. Its clear, the values are just to high to be practically possible. This doesn't yet rule out the axial force, provided a scalar or vector particle with mass in the region 10meV to 1eV, exists, such a particle, would not be subject to Fermi repulsion, and could be present in whatever quantities needed to balance out the axial charges on nucleons. Scalar or Vector neutrino (normally scalar, but I find theories with fundamental scalars unattractive), are present in super-symmetric theories with unknown masses. So a super-symmetric theory might allow an axial force.
Such a particle would also help with another problem the axial force faces, Radiation
from the Sun and Stars. The hot gases in star is in thermodynamic equilibrium and as such we expect all degrees of freedom to have equal energy. Thus we would expect the Sun to radiate an equal amount of photons and axi-photons. The axi-photons would be absorbed in the Earth atmosphere, and we'd observe a Sun burning half as brightly as expected. Astronomers current calculations describe the brightness of the Sun up to a few percent either way, so a Sun radiating equal amounts of axi-photons is not credible.
Let us investigate a super-symmetric vector (spin-1) analog of a neutrino, also with +1 or -1 axial charge, with a mass in the 1 eV region ( 1eV ~13000 Kelvin). We'll call it a Vectrino. Vectrinos are more interesting to us, than sneutrinos because, an
axi-photon can easierly pair produce Vectrinos, spin 1 -> spin 1 + spin 1. Remember this is in three dimension of spin, the extra spin on the RHS of the equation, can occur if the Vectrino, anti-Vectrino pair is emitted near 45 degrees to the incoming axi-photon. The Vectrinos can further scatter producing more axi-photons. The result is that Vectrinos lead to a region, absorbing all the axi-photon and other axial energy converting it in to a region as dense in Vectrinos as pressure will allow. It will act as an opaque thermal conduction barrier, allow only standard light through.
This wouldn't happen with scalar neutrinos, where the spin 1 -> spin 0 + spin 0, is impossible, and pair production is strongly suppressed.
Our Vectrino dense region would occur in the suns chromosphere, absorbing up coming energy in a region containing little hydrogen. At the top of the chromosphere high temperature protons, attracted by the axially negative region, would supply the pressure necessary to keep the Vectrinos compressed and in place. Light would cross the region normally and find a lot few protons in the corona to be shared between. Thus we have a new explanation of solar coronal heating, which has needed one of a while, see this paper.
Our original paper, used right handed neutrinos with a mass of a around 30eV, to preform the same trick of stabilising matter against Fermi pressure, and heating the
solar corona. However I do not now believe such massive particles could exists without there decay energy, showing up, in for instance the boiling of water. Scalar or Vector particles on the other hand, would cap the Fermi energy at just below there mass. The balance of Fermi-energy, axial binding energy, and scalar mass energy, would be hidden in lab experiments.
We have saved the axial force, at the expense of adding a usually new particle. The particle belong to super-symmetry, but an unusually form of super-symmetry, and the axial force was already unknown to physics. Scientifically, our belief in the axial force must reduce accordingly. It would help if one experiment or observation definitively needed an axial force, but without that the axial force is reduced to the realm of possible but not likely or needed.