(Reprinted with permission)


Mathematical physicist Tony Bermanseder stated:

Allow me to add my understanding of basic geometric spin-properties. Zeus is describing an elementary association between quark-lepton constituents, which have significant application and are well understood in the experimental apparatuses. Rybo I wish I could draw pictures and the like but I do not have access to the appropriate software and display agencies.

Let us take two leptons, an electron and a positron, both with fermionic halfspin (s=1/2 in intrinsic angular momentum quantised as (1/2).(h/2Pi)=h/(4Pi).

If the spins are aligned or parallel, then the electron and positron can revolve about each other and form a shortlived system called ORTHOPOSITRONIUM, decaying in so 10^-7 seconds into THREE Photons (which are spin1 Bosons).

Orthopositronium has a combined BOSONIC SPIN of 1 and because of Maxwell's Equations a 1spin particle-state cannot decay into TWO photons, as the spins of 1 and 1 cannot conserve the 1 spin of the Orthopositronium.


If the spins are antiparallel or opposite, however, exactly this situation occurs and PARAPOSITRONIUM decays into TWO Photons with opposite spins, cancelling each other as 1-1=0 and the spinstate of Parapositronium.

Parapositronium decays in so 10^-10 seconds and is longer-lived in the factor Alpha (1/137) becaiuse this is the interaction probability between a photon and the matter/antimatter state.

Ok then. This process repeats itself in the 'Gluon-Jets' in the Standard Model.

The Charmonium (J/Psi-Meson) decays into THREE GLUON-JETS, each gluon jet partitioning into quark-hadron/meson particle-showers. The Charmonium-Meson has of course 1spin and is a high mass form of Orthopositronium.

This then is the parallel/antiparallel spin-resonance background, where pure energy transforms between radiative (photonic) and massive eigenstates.

We transfer this into the nucleus, found in the basis of the nucleons (proton and neutron).


Here then you find very stable Heluium-4 arrangements of nucleons as quark extensions, forming sausage-shaped or toroidal shapes (Ikeda Shapes I have posted this here and can resend it).

Particularly, the quark geometry becomes all spin-dependent. u.d.u.d.u.d.u.d.u.d.u.d=[proton][neutron][proton][neutron], the first up-quark closing the circle in linking with the last down- quark.

The importance is the symmetry between the ups and downs. In stability (the most stable Ikeda shape is the one above), the middle quark in either proton or neutron spins opposite the adjacent ones.

So you have +-+-+-+-....describing the superstability of quark geometry.

Ampere's Laws and Maxwell's Equations come into it, because this spinning occurs about a magnetoaxis, defining the spin-orientations.

I'll repost the uds-hyperon decay, for you to see the experimentally verified nature for this.

Well, I'll do this and then you can ask questions about it.

Tony Bermanseder.

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