HomeQuantum PhysicsVacuum Fluctuation

Quantum Foam 3D: Time-Energy Uncertainty

Fly through a 3D field of virtual particle-antiparticle pairs winking in and out of the vacuum, each lifetime set by Heisenberg's time-energy uncertainty relation ΔE·Δt ≥ ħ/2 — the same quantum foam behind the Casimir effect and Hawking radiation.

Quantum Physics3DEasy60 FPS📱 Mobile-adapted⇄ 2D version
3d-temporal-energy ↗ Open standalone

Zoom out from a single virtual pair to the whole vacuum: this 3D scene fills a volume with dozens of simultaneous electron-positron fluctuations, each one borrowing an energy ΔE and repaying it within a lifetime Δt = ħ/(2ΔE), exactly as Heisenberg's time-energy uncertainty relation requires. Two InstancedMeshes carry the entire population — hundreds of independently timed pairs rendered in two draw calls — while the camera drifts through the foam or orbits under your control. Raise the energy scale and watch the whole field flicker faster; raise the density and watch the vacuum's constant energy turnover become visible, the same physics behind the Casimir effect and Hawking radiation.

⚙ Under the hood

Dive into a 3D quantum foam simulation with multiple virtual particle pairs, experiencing their fleeting existence through a flythrough camera.

Quantum MechanicsVacuum FluctuationHeisenberg Uncertainty

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

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