Quantum Electrodynamics & Zero-Point Energy
Casimir Effect
Simulate Hendrik Casimir's 1948 prediction: Two uncharged parallel conducting plates experience an attractive quantum force per unit area $F/A = \frac{\hbar c \pi^2}{240 d^4}$ caused by the restriction of virtual vacuum photon modes between the plates.
Casimir Force F/A
1.30 mPa
Plate Separation d
100.0 nm
Allowed Modes Inside
Restricted Cutoff
Plate Gap Setup
Visual Overlay
Controls
Casimir Force & Vacuum Energy Equations
Casimir Pressure: F / A = (ℏ c π²) / (240 d⁴)
Vacuum Mode Energy Density: E_0 = ∑ (½ ℏ ω_k)
Attractive Force Scaling: F ∝ 1 / d⁴ (Dominant force below 100 nm!)
Vacuum Mode Energy Density: E_0 = ∑ (½ ℏ ω_k)
Attractive Force Scaling: F ∝ 1 / d⁴ (Dominant force below 100 nm!)
Developer Reference
Core Algorithm & Standalone Script
// Casimir quantum vacuum zero-point pressure solver
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
// F / A = (hbar * c * pi^2) / (240 * d^4)