Experiments - Binary Unified Theory

Real runs of the Binary Unified Theory simulation engine - each one a short clip of what actually happened, the parameters it ran with, and a link to the full data and analysis behind it. See also Observations for findings grouped by what was learned rather than by run.

Scatter plot showing every tested particle-count and starting-diameter combination marked unstable - no stable configurations found across a 35-trial sweep

Stability vs. Particle Count and Starting Diameter

A 35-trial sweep across n=200-3,200 and starting diameter=20-150 found zero stable configurations - confirmed by a resolution convergence check, not a single pass.

200-3,200 particles/species · 35-trial sweep · convergence-checked

Log-log plot comparing three source configurations, with the translational dipole tracking the reference 1/R-squared line exactly

A Neutral Configuration That Recovers 1/R² Exactly

A positionally-displaced dipole fits an exponent of exactly -2.00, matching observed Coulomb and gravity - robust across displacement scale, cross-validated independently.

numerical verification · force-law exponent · independently cross-checked

Log-log plot showing resonant velocity-matched particle pairs reaching 46x the coupling of generic pairs at close range

Velocity-Matched Pairs Reach 46x the Coupling

Particles whose velocities are matched to 1 part in 10,000 experience up to 46x the time-averaged force of generic, uncorrelated pairs - a sharp resonance.

time-domain integration · binding mechanism · general to any power law

$Two line charts showing no large-scale charge segregation but a real decline in same-charge nearest-neighbor fraction over a 200,000-particle run$

Over 93% of Nearest-Neighbor Pairs End Up Opposite-Charge

A 200,000-particle false-positive audit found the engine's stability signals were unreliable - but a real local charge-pairing signal alongside them.

200,000 particles · false-positive diagnosis · dipole pairing

Clip of a 100,000-particle Binary Unified Theory simulation under hyperbolic rapidity integration, showing a 24,521-particle connected structure highlighted in teal growing into a shell spanning the whole expanded swarm

A Percolating Cluster Network at n=100,000 (Rapidity)

24,521 particles - 24.5% of the swarm - connected in one structure spanning the entire expanded volume as a shell, still growing when the run ended.

100,000 particles · hyperbolic rapidity · exact cluster tracking

Clip of a 100,000-particle Binary Unified Theory simulation with a 14,385-particle bound cluster highlighted in teal, spanning much of the swarm

Large-Scale Cluster Formation at n=100,000

A single bound structure of 14,385 particles - over 14% of the whole swarm - tracked with exact particle IDs from start to finish.

100,000 particles · brute force · exact cluster tracking

Clip of a 250,000-particle Binary Unified Theory simulation with a 12,472-particle bound cluster highlighted in teal

Large-Scale Cluster Formation at n=250,000

A single bound structure of 12,472 particles - about 5% of the whole swarm - emerged mid-run.

250,000 particles · brute force · cluster tracking

More experiments are added as runs complete - check back, or follow the development log for updates.