Okay, here is what has been bugging me:
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You may see here, where the solution to the nonparity between matter and antimatter lies.
The Higgs Boson does not exist as an independent particle, as its existence would imply the existence of the AntiHiggs in an observed matter-antimatter symmetry.
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This is totally cool, I totally love it, and at least a few, and perhaps LARGE steps beyond what I've been thinking here.

In your follow up, you zeroed-in on the double-neutron, and double-anti- neutron, which to me is an odd choice starting from ( go all the way back to principles of electro-weak unification )

You'd think first there'd be "electron" in some similar mechanics as you are describing, and arrive into neutron / atom space a little later on down the line.

What am I missing about electrons-first ?

 
Simple; the electron is charge polarised, whilst the neutron is not.
So the Higgs derivative/precurso r must be charge-neutral and define a 'particle' which decays into opposite charges (charge positive of the proton with anticharge negative of the electron in the conventional labeling).
 
Btw, the 'Double-Lambda' would decay into a Neutron-pair with gamma photons or a proton-pair with negative pion meson pairings.
 
But the neutron as a particle is also just a label.
Remember that the dineutron is BOSONIC and MASSLESS (as a YLEM String-photon say) in my description. It is not the baryonic nucleon of the textbooks.
It is more of a SUPERSTRING; massless and of an energy 1000 trillion times greater than the neutros in your body. But its template BECOMES manifested in Higgs MassInduction AS a pair of neutrons, one righthanded and the other lefthanded.
It is precisely the mass induction which transforms the huge string energy down to the level of the nucleon physics (by a factor of so 10^13).
Only the lefthanded one partakes in the weak interaction; showing from first principles why the cosmic antimatter is suppressed in gauge coupling.
 
You should realise, that the weak interaction is the only fundamental interaction which occurred AFTER Inflation and is so THE fundamental interaction defining the nature of Inertia in the nature of the weakon gauges.; as well as the energy transductions from bosonic strings to fermionic 'particles'.
 
The weakons are massless as leptonic bosons (coupling electrons, muons and tauons to their antineutrinos for the Wminus's and also antineutrinos to each other [for the Zo's]) BUT become massive via the massless Higgs precursor (itself the 0-spin ancestor the RestMassPhoton or RMP(-1)) transforming the GRAVITA into the measured INERTIA (as the masses of the elementary particles).
 
John Shadow