The "Baryon Axis" indicates the baryon number composition of the particles, minus one for the bottom group, zero for the middle group, and plus one for the top group.
The "Charge Axis" indicates the electrical charge composition of the particles, minus one for the left group, zero for the middle group, and plus one for the right group.
The "Weakness Axis" indicates what I call the "neutrino number" composition of the particles, minus one for the bottom cell, zero for the middle cell, and plus one for the top cell, in each group.
Note that the photon is at the center of the chart, and that the chart could be extended to include atoms and molecules. For example, the atom hydrogen could be plotted as the summation of the properties of a proton and an electron. If the chart were extended to include atoms and molecules, it would extend up and to the right. The shape of the extended chart, and the lifetimes of the particles it contains provides a great insight into the stability of various combinations of the quantum properties that make up our part of the universe.
Charge is the property of sub-atomic particles associated with electro-magnetic interactions. Like charges repel and unlike charges attract. All electric, magnetic and chemical phenomenon originates with charge. Thales of Miletus (640-547 BC) was the first to note that amber, when rubbed with wool, attracted small objects.
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