Observations

What the simulations have actually shown, reported the way this project's own notebooks are - warts and all. Each observation links back to the real experiment it came from. See Experiments for the full run-by-run catalog.

A 24,521-particle connected structure highlighted in teal, spread as a shell across a 100,000-particle swarm under hyperbolic rapidity integration

Bound Structure Formation

Under a different integration mode, a connected network spans nearly the whole swarm

Switching to hyperbolic rapidity integration and running 56,000 steps (over 11x longer than the earlier n=100,000 run) produced the largest connected structure found in this project so far: 24,521 particles, 24.5% of the entire swarm - but not as a compact blob. The swarm itself expanded enormously over the run, and this structure's members are spread almost isotropically across that whole expanded volume, linked end-to-end by a continuous chain of local bonds rather than gathered in one place. It was also still growing when the run ended, so this number is a floor, not a settled result. A genuinely different kind of finding from the two runs below - read honestly as a percolating network, not a cluster in the everyday sense of the word.

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A bound 14,385-particle cluster highlighted in teal, spanning much of a 100,000-particle swarm

Bound Structure Formation

Over 14% of a swarm bound into one structure - and this time, exactly

A follow-up 100,000-particle run produced an even larger proportional finding: 14,385 particles - over 14% of the entire swarm - bound into a single structure, more than double the population share of the earlier 250,000-particle result. This run used the engine's new cluster event capture feature, so every particle ID here is exact, tracked live by the engine itself, not reconstructed after the fact. The structure's character is also different: large and diffuse rather than small and tight - a real, open question about why, not yet answered.

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A bound 12,472-particle cluster highlighted in teal at the center of a 250,000-particle swarm

Bound Structure Formation

A quarter-million particles, and one structure held together

In a real 250,000-particle run, a single cluster of 12,472 particles - about 5% of the entire swarm - formed and persisted, tracked back to when its members were still scattered throughout the diffuse cloud. It's the largest bound structure found in any run so far at the time, and a concrete example of the kind of spontaneous binding this project's stability signals were built to catch.

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More observations are added as they're found - this page grows with the experiments.

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