REL-08: Superposition Principle Test
Superposition Principle Test
productionTier 1: Relativisticwave-packet
Research validation test for relativistic tier. Superposition Principle Test
Canonical Validation Status: All physics validation tests passing (105/105 executed; 100.0%). Skip-designated tests excluded by executed-only policy.
REL-08: Superposition Principle Test
Visualization: E(x,t) field amplitude along 1D spatial lattice
■ E > 0
■ E < 0
Physics Test:
Research validation test for relativistic tier. Superposition Principle Test
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
🔬
Validation Coming Soon
Cryptographic validation with exact Python code reproduction will be available in the next update.
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-08/