REL-01: Isotropy — Coarse Grid

Validates wave propagation isotropy on coarse grid

productionTier 1: Relativisticwave-packet

Tests that wave propagation speed is identical in all directions (x, y, z) on coarse spatial grid. Validates Lorentz symmetry emergence from discrete lattice.

Canonical Validation Status: All physics validation tests passing (105/105 executed; 100.0%). Skip-designated tests excluded by executed-only policy.

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REL-01: Isotropy — Coarse Grid

Visualization: E(x,t) field amplitude along 1D spatial lattice

■ E > 0

■ E < 0

Physics Test:

Tests that wave propagation speed is identical in all directions (x, y, z) on coarse spatial grid. Validates Lorentz symmetry emergence from discrete lattice.

Pass criteria: Energy drift < 0.000001, Anisotropy < 0.01

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)

Expected: Energy conservation < 10⁻⁶, symmetric ω(±k)

Key Observables

Energy conservation:
ΔE/E₀ should remain < 0.000001 (numerical stability check)

Anisotropy:
|ω_right - ω_left| / ω_avg should be < 0.01

Interactive: Drag to rotate, scroll to zoom
Watch field oscillations (bars height = E(x,t))

Step: 0 / 6,000

Visualization Options

Chi Field (Heatmap)Lattice GridForce VectorsStars & Background

Test Configuration (Read-Only)

🔒 Parameters locked to validated test harness configuration

latticeSize5.12e+2

dt2.50e-3

dx8.00e-3

steps6.00e+3

chi0.00e+0

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

anisotropy< 0.01

🔬

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-01/

Documentation

→ Test Config JSON → Test Results → Discovery Entry