REL-05: Causality — Pulse Propagation
Causality — Pulse Propagation
productionTier 1: Relativisticwave-packet
Research validation test for relativistic tier. Causality — Pulse Propagation
Canonical Validation Status: All physics validation tests passing (105/105 executed; 100.0%). Skip-designated tests excluded by executed-only policy.
REL-05: Causality — Pulse Propagation
Visualization: E(x,t) field amplitude along 1D spatial lattice
■ E > 0
■ E < 0
Physics Test:
Research validation test for relativistic tier. Causality — Pulse Propagation
Pass criteria: Energy drift < 0.000001
Discretized Klein-Gordon
∂²E/∂t² = c²∇²E − χ²E
Numerical params:
N = 256 (lattice points)
Δt = 2.50e-3 (time step)
Δx = 8.00e-3 (spatial step)
χ = 0 (mass term, units c=1)
k/k_Nyquist = 0.05 (5% of max frequency)
Boundary: Periodic (wraps at edges)
Integrator: Verlet (2nd-order symplectic)
Boundary: Periodic (wraps at edges)
Integrator: Verlet (2nd-order symplectic)
Expected: Energy conservation < 10⁻⁶, symmetric ω(±k)
Key Observables
Energy conservation:
ΔE/E₀ should remain < 0.000001 (numerical stability check)
ΔE/E₀ should remain < 0.000001 (numerical stability check)
Interactive: Drag to rotate, scroll to zoom
Watch field oscillations (bars height = E(x,t))
Watch field oscillations (bars height = E(x,t))
Step: 0 / 6,000
Visualization Options
Test Configuration (Read-Only)
🔒 Parameters locked to validated test harness configuration
Configuration
Grid: 512³
dt: 2.50e-3
dx: 8.00e-3
Steps: 6,000
Metrics
No metrics available. Start simulation to see live data.
Validation Criteria
energyDrift< 0.000001
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Validation
Run validation to compare web simulation against test harness results.
Validation runs the test harness simulation and writes diagnostic results toworkspace/results/website_validation/REL-05/