For Researchers · Special Relativity
Special Relativity for a harmonic oscillator
Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a harmonic oscillator live below — adjust the inputs and watch it respond, right in your browser.
Special RelativityLive
time dilation & length contraction
Controls
Presets
Near the speed of light, space and time warp. The Lorentz factor γ = 1/√(1−v²/c²) governs it all: moving clocks run slow by γ (time dilation), moving objects shrink along their motion by 1/γ (length contraction), and energy grows without bound. At everyday speeds γ ≈ 1, so we never notice.
Data Inspector
Lorentz factor γ1.250
Time dilation×1.25
Length contraction×0.800
Speed180 Mm/s
Governing equation
Reading this result: Deep in the relativistic regime — moving clocks run visibly slow and rulers shrink markedly along the motion.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
More with Special Relativity
Special Relativity for a hydrogen atomSpecial Relativity for a quantum wellSpecial Relativity for a qubitSpecial Relativity for the double-slit experimentSpecial Relativity for a particle in a boxSpecial Relativity for a tunneling electronSpecial Relativity for a spin measurementSpecial Relativity for a laser cavity
Frequently asked questions
- Is this good for researchers?
- Yes — this version of "Special Relativity for a harmonic oscillator" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.