We are provided with data containing approximate time and position of detected particle passages through the detector. These space-time positions are called hits. A set of hits is contained in every detected collision event, recording the passage of the fragments of the broken proton. Our data set contains thousands of these events.
We are left alone with this material, a collection of points placed in a four dimensional space that is mostly void. To bridge the gaps and navigate through the emptiness, a rule of relationship is inferred; a rule of "causality" defining which points are interdependent with each other. This rule is an assertion, emerging from of the uncomfortable situation of not knowing where and when things are. It results in a function which joins points, interpolating between them, structuring a space: its reiterated application is a generating function that produces coherence and form.
The transposition constructs figures as well as finding them in the material to which it is applied. Therefore, even if it is an isomorphism, its action is not neutral: this characteristic —which affects all transformative functions — becomes evident when it departs from canonical i.e. accepted interpretations of what lies "behind" the data, or how it should be read.
Each hit is connected with a line to the nearest other along each of the 8 directions in the four dimensional space-time. The process is repeated for each event.
Eventually a series of thousands of figures are drawn which collect the traces of the application of this function of the data.
This is the projection of the x-t plane of the figure generated for the event 5252 in spill 198.