This simulator models the Byrd information-density warp drive hypothesis. It implements the complete physics chain from experimental apparatus to warp field generation, based on Jacobson's 1995 thermodynamic derivation of General Relativity and the Bekenstein entropy bound.
The left panel shows five stages that feed into each other, top to bottom. Each stage adds a physical mechanism. The central canvas shows the resulting warp field in real time. The right panel shows live numerical readouts.
Stage 1 — Apparatus (Byrd Track 2)
Choose between a REBCO superconducting toroid or a resonant helical electromagnet array. Set physical dimensions and field strength. This determines the stored electromagnetic energy and the bounding radius for the Bekenstein calculation.
Stage 2 — Bekenstein Drive (Jacobson 1995, Bekenstein 1981)
The key control. Slide the perturbation frequency lower to approach the Bekenstein bound. The critical insight: I/B = c·Δt/(2πR) — energy cancels entirely. Only timescale and radius matter. Watch the warp field change color as dilation increases: cyan (subcritical) → gold (moderate) → violet (strong).
Stage 3 — Warp Geometry (Alcubierre 1994, Golden Ratio Optimization)
The shape function f(r) distributes spacetime dilation spatially. σ/R controls wall thickness. The golden ratio σ/R = 1/φ = 0.618... is Pareto-optimal: no other ratio achieves both lower energy AND higher field effectiveness. Click the button to lock to 1/φ.
Stage 4 — KAM Stability (White 2011, KAM Theory)
Toggle phi-oscillation on and click START OSCILLATION. The bubble intensity modulates at golden ratio frequency coupling (ω2/ω1 = φ), which KAM theory proves is maximally resistant to resonance destruction. Rank #1 of 500 tested ratios.
Stage 5 — Nested Solitons (Lentz 2021, φ-Scaling)
Enable nesting to see concentric φ-scaled rings. Each layer's radius = R·φ^(-n). This distributes energy across spatial scales, reducing total integrated energy by 36.1% with 5 layers.
1. Slide the frequency in Stage 2 down toward 10^8. Watch the warp field intensify and the color shift from cyan to gold. The gamma readout on the right shows increasing spacetime dilation.
2. Click "Set sigma/R = 1/phi" in Stage 3 and compare to other values. The Pareto-optimal indicator on the right tells you when you're at the golden ratio.
3. Enable oscillation in Stage 4 and press START OSCILLATION. Watch the bubble breathe at the golden ratio frequency.
4. Toggle nested solitons in Stage 5 and watch the layered rings appear. Check the total energy readout — it drops.
5. Try the helical array in Stage 1 — its 15.7x superluminal demand produces higher I/B ratios than the toroid.
This simulation implements the Byrd information-density spacetime dilation hypothesis: if spacetime geometry is thermodynamically equivalent to information density (Jacobson 1995), then any system approaching the Bekenstein bound must produce geometric spacetime dilation.
The modified Lorentz factor γ̃ = 1/√(1 - I²/B²) governs the dilation magnitude. The Alcubierre shape function distributes it spatially. The golden ratio optimizes the geometry at every stage: wall thickness (σ/R = 1/φ), oscillation stability (ω2/ω1 = φ), and nested scaling (R_n = R·φ^-n).
The same mechanism proposed for hyperfast pulsar natal kicks (IGR J11014-6103, 2400-2900 km/s) predicts measurable bench-scale spacetime dilation in a REBCO toroid at accessible perturbation frequencies.