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時間の遅れ計算機

高速度における相対論的な時間の遅れを求めます。

はじめに

Time Dilation Calculator — Relativistic time dilation at high velocity. Enter Proper time (s), Velocity (m/s) to get an instant, accurate result.

計算式

Special relativity predicts time dilation using the Lorentz factor: t' = t / √(1 − v²/c²), where t is the proper time measured in the moving frame, v is relative velocity, and c is the speed of light.

ステップごとの説明

  1. Enter the Proper time (s).
  2. Enter the Velocity (m/s).
  3. Click Calculate to see your result instantly.

実例

Example: With Proper time (s) = 10, Velocity (m/s) = 10000000, the Time Dilation Calculator gives Dilated Time S: 10.0056.

よくある質問

What is time dilation?
Time dilation, a consequence of Albert Einstein's special theory of relativity, describes how time passes more slowly for an object moving at high speed relative to a stationary observer.
At what speeds does time dilation become noticeable?
Time dilation is negligible at everyday speeds but becomes significant as velocity approaches the speed of light (c ≈ 299,792,458 m/s) — it is measurable in GPS satellites and particle accelerators.
What is the Lorentz factor?
The Lorentz factor, γ = 1/√(1−v²/c²), quantifies how much time, length, and relativistic mass change for an object in motion relative to an observer; it approaches infinity as v approaches c.
What inputs does the Time Dilation Calculator need?
You'll need to provide: Proper time (s), Velocity (m/s). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Time Dilation Calculator?
The Time Dilation Calculator applies the formula exactly as calculated — Special relativity predicts time dilation using the Lorentz factor: t' = t / √(1 − v²/c²), where t is the proper time measured in the moving frame, v is relative velocity, and c is the speed of light. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Time Dilation Calculator free to use?
Yes, the Time Dilation Calculator is completely free, requires no signup, and runs instantly in your browser.

時間の遅れ計算機について

The Time Dilation Calculator uses a real, verifiable formula — Special relativity predicts time dilation using the Lorentz factor: t' = t / √(1 − v²/c²), where t is the proper time measured in the moving frame, v is relative velocity, and c is the speed of light. — so results are accurate every time, not an approximation.