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Oil on Linen   16 x 16 inches                                                      Featured in Diagram magazine

 

 

Notes

Geometric Abstract, a Landscape of the Imagination, or more precisely a technical diagram of my wildest dreams (puns intended).

Tadpole diagrams for single point correlations, but right now they’re goofing off on the canvas. Diagrams like these are used to solve complex problems in Physics where (for example) a particle can take many paths, but most of the possible paths cancel each other out. If these problems are written out using integral calculus for each path, solving them becomes almost impossible. However, there is a different branch of mathematics, topology, that deals with connectivity, loops, knots and other types of ideas that lend themselves to crunching groups of paths. Richard Feynman developed a mathematics of path diagrams to help Physicists move from crunching paths to integrating numbers, simplifying a number of problems in Particle Physics, Quantum Physics, Soft Matter Physics – and maybe a few other subfields that the artist is not aware of yet. The mathematical objects developed by Feynman are called “Feynman Diagrams”, and are often referred to by their general topology (one-loop diagram, two-loop diagram, sunset diagram, etc.)

This is of course an oversimplification. In some cases the paths are not completely independent – there may be interactions or correlations incorporated into a diagram. Correlation in physics is a mathematical and statistical way to describe dependency or inter-relatedness. For example “pair correlation” in a map of electron density provides a way to describe how likely you are to see another electron at some distance from any electron selected – and calculating a correlation function pairwise to get average distances and distributions of distances between pairs.

An single point diagram (e.g. Feynman Diagram or graph) – not a pair – looks like a little tadpole. Rather than crunching up the little tadpole diagrams, I’ve left them to party on the canvas. I’ve always imagined the secret lives of mathematical objects, ever since I was a very small child. I think these hard working diagrams deserve a little “me-time”, especially since they ARE single point correlations (yeah – OUCH!).

In Physics, they were invented and named by Sidney Coleman.

One of a series of paintings addressing scientific imagery as metaphorical visual information. Through a change of context, these paintings (and drawings) explore an communicate the experiential aspects of investigation and discovery. By providing an alternative abstracted depiction of worlds an ideas that cannot be directly seen, a connection is built to the everyday world of objects.


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