A quark is the collapse of two or more bosons having the higher (A) value of mass-energy.

The generations are counts of oscillators collapsed at the fermion.

Flavor

The up/down type changes with the weak interaction, from every fermion.

Baryon singlet

When fermions are interdependent within a very small volume, we call them 'composite particles'. Their bosons are confined: emitted and re-absorbed within the structure of the composite. Such composites are detectable by their residual or vacuum interactions.

Baryons feature an ongoing sequence of three nominal quark states; a QCD singlet {A, B, C}, fig.4.

Although all interactions are fundamentally identical, there are three notable modes of interaction:

1. The short {R, G, B} gluons;
2. The longer {anti-R, anti-G, anti-B} gluons that interact with vacuum; and
3. The vacuum bosons that couple with the anti-colours.

Constitution of a quark

Each quark has a colour and an anti-colour, both before, and after their fermion event. e.g. the gluon constituents of quark A are:

• ‘blue + anti-red’ immediately before its fermion event; and
• ‘red + anti-blue’ immediately after, entangled.

Gluon path lengths

In terms of path lengths, red + green = yellow, i.e. quark A links to quark C in two ways:

1. Directly to quark B (red gluon), then from quark B to quark C (green gluon);
2. Via vacuum interaction (shown grey), (anti-blue / yellow gluon). The anti-colour gluons interact with vacuum, radiating as pions or similar.

Three-phase abstraction of the singlet

Quarks B and C have similar constructions, and we can find other equivalent formulations of the gluon octet, including flux tubes for added concurrency and complexity.

Baryon propagation

Supposing there were no vacuum interactions in the anti-colours, then red + green would be the same length as a one-step yellow without vacuum (imposing a triangle shape, flattened into a straight line). The geometric consequence is that the hadron would travel at the speed of light, with all positional solutions on the same directional vector.

Conversely, with vacuum interactions, the anti-colours (yellow, magenta, cyan) have opportunity to split their journey into 'away' and 'return' segments, allowing its length to equal the corresponding pairs of colours (two from: red, green, or blue), and therefore enabling the baryon to have an aggregated velocity of between zero and light-speed (noting that a full positional cycle for the baryon spans two singlet cycles). This also allows change in the classical directional velocity vector, vacuum interaction, boson substitution, and charge currents, all dependent on the ratio of red+green : yellow (and likewise for the other combinations).

Fig.4 is simplified, and there are other variations that result in working QCD singlets. If, for example, A, B, C, or the vacuum events, were shifted a little, symmetry breaking would occur as shown in fig.3.