DaveField

Itn5099 JS100 – Symmetry Breaking in a Propagating Field

This visualization shows an early example of a mature "field" propagation, generated by implanting a single point of "data" or "potential" at the origin — a kind of numerical "Big Bang." The field then evolves under simple, perfectly symmetric rules. After 5,099 iterations, we see something remarkable: although the underlying rules are fully symmetric, the global structure of the field has developed broken symmetries. This illustrates a profound lesson: when mathematical ideals meet the realities of computation — in this case, floating-point precision under the IEEE 754 standard — subtle numerical effects accumulate. At the boundaries between exact symmetry and finite representation, new patterns emerge. This is more than just an artifact of computation: it hints at how complexity, asymmetry, and structure can arise naturally from simple laws, once they interact with the constraints of their environment.

>Thermodynamic Surface of K Structure JS20

Here is a "thermodynamic" heat map of a twin prime field structure at "equilibrium". The couloured bands represent twin prime populations within the field. We can see clear vertical banding relating to allowed population densities with brighter colours showing the more densley populated classes. Hortizontal striations relate to the specific allowed twin fingerprint of this particular field surface.

JS15 12V Full Field - "Starscape" of Twin Primes

An Image here of symmetrical patterns of twin primes creating a "starcape" of points in our full sky Mollweide plot. Each point represents a twin prime pair and brighter colours indicate higher integer figures - thousands of twin prime pairs all the way into the hunderds of billions crystallising an irreducible lattice of numbers in a field propagation.

Overlapping Histogram of K Values JS20

This is an overlapping histogram of "K" values, which are field parameters specific to individual groups or classes of twin prime pairs. Here we can see a distinct Moire pattern form from the overlapping class histograms.

Martini Midpoints derived from twin prime pair (3,5)

A plot of "Martini" midpoints derived from the twin prime pair (3,5) - see the faces, columns and curves which emerge from the mathematically precise plot.