where each cycle can be parsed into eight sub-orbital components
so that there is one component for each combination of the phase , the magnetic polarity and the electric polarity as shown in the accompanying table. This arrangement ensures that P has a fixed relationship with the electric, magnetic and polar axes. It provides a logically sufficient array of sensation to make an account of events that is fully three-dimensional. We can assign , a well-defined position, and , the time of occurrence to these events without making further assumptions. Compound events like are called space-time events. Chains of space-time events like are called trajectories. Particle trajectories are generically written as to emphasize that their events have space-time coordinates.
This image shows the relationship between spatial axes and P’s sub-orbital components. The eight components may be composed from some miscellaneous collection of quarks beyond the bare minimum required to establish a spatial orientation. So sub-orbital events are shown as different pie-shaped wedges. Events through are out-of-phase with events through so they are depicted in a lower tier on the polar axis. Click here for a movie showing all eight sub-orbital events in an atomic-cycle.
Consider some generic particles , and that are objectified from space-time events like the ones defined above. And let these particles interact with each other as . If this process preserves relationships between sub-orbital events such that
then we say that the interaction is coherent. That is, relationships that determine the phase and orientation do not get mixed-up when a particle is formed or decomposed. Alternatively, we say that an interaction is incoherent if information about phase and orientation gets scrambled during the process.