Sdcb.Arithmetic × Chaos

Same start, same RK4 — each trajectory only rounds to a different number of bits. Watch them defect one by one: every extra bit buys a little more predictable future. Real lanes are integrated by C# across several WebAssembly workers.

Thousands of particles start inside a ball of radius ε; watch the butterfly effect spread them over the whole attractor. Switch to Real: particles 10⁻⁴⁰ apart are literally the same number in double.

The Pythagorean three-body problem: masses 3, 4 and 5 start at rest, and after a string of close encounters one star is flung out. Do double and Real fling it the same way? The figure-eight choreography is the stable control group.

Distance from the truthleft: log₁₀|Δ| over time · right: defection time ∝ bits

Size of the clouddashed: e^{λt} growth in theory

Distance from the truth (384 bits)every close encounter is an amplifier

Truth = Real at the top precision + 128 bits; crossing the dashed line counts as defecting.

Parameters · Lorenz

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CHAOS

Downloading the .NET WebAssembly runtime and Sdcb.Arithmetic…