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Special Relativity Calculator
x402
Special Relativity Calculator is a paid API for AI agents from physics-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Computes Lorentz factor, time dilation, length contraction, relativistic energy, and momentum for a given speed
Price / call$0.02
Success—
StatusUnknown
How this service works
Special relativity: Lorentz factor, time dilation, length contraction, total and kinetic energy and momentum at a given speed.
Output
Returns a JSON object with: lorentzFactor, speedMS, beta, dilatedTimeS, timeDifferenceS, contractedLengthM, lengthContractionFactor, restEnergyJ, restEnergyMeV, kineticEnergyJ, totalEnergyJ, totalEnergyMeV, momentumKgMS, relativisticKineticMinusClassical, plus a summary string and disclaimer. Fields are null when their required input was not supplied.
Example use cases
Twin paradox time dilation check
“If a twin travels at 0.99c and 5 years pass on their clock, how much time passes on Earth? Give me the Lorentz factor and the time difference.”
Particle accelerator energy calculation
“Calculate the total relativistic energy and momentum in both joules and MeV for a proton with rest mass 1.67e-27 kg traveling at 0.999c.”
Spaceship length contraction
“A spaceship is 500 metres long at rest. How long does it appear to an observer when it flies past at 270,000,000 m/s? Also give me the Lorentz factor.”
Technical details
Endpoint
GEThttps://physics-calc.x402tookit.com/relativity?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need precise relativistic physics calculations — Lorentz factor, time dilation, length contraction, or relativistic energy/momentum — especially for education, science homework, particle physics, or astrophysics scenarios. It accepts either beta (fraction of c) or speed in m/s, making it flexible for both physics-native and engineering inputs. Prefer this over classical mechanics endpoints when velocities exceed ~10% of the speed of light where relativistic effects become non-negligible.
Side effects
- beta >= 1 or < 0 causes an error (speed must be 0 to 0.999999999 as fraction of c)
- speedMS exceeding or equal to speed of light returns an error
- Neither beta nor speedMS provided results in missing lorentzFactor and dependent fields
- restMassKg not provided means energy and momentum fields return null
- Very high beta values (e.g. 0.9999999999) may hit floating-point precision limits
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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