⏳ 时间膨胀计算器Time Dilation Calculator

使用说明与常见问题How-to & FAQ

「时间膨胀计算器」是什么？What is the Time Dilation Calculator tool?

按狭义相对论计算高速运动时的时间膨胀：洛伦兹因子 γ、静止参考系经过的时间和长度收缩。Special-relativity time dilation: Lorentz factor γ, elapsed time for the stationary observer and length contraction.

如何使用「时间膨胀计算器」？How do I use the Time Dilation Calculator tool?

在「时间膨胀计算器」中，填写「速度」、「速度单位」、「固有时间（运动者经历）」、「时间单位」等参数，结果会随输入实时计算并显示在下方。In the Time Dilation Calculator: Fill in "Speed", "Speed unit", "Proper time (traveler)", "Time unit"; results are recalculated instantly as you type.

日常速度下有影响吗？Does it matter at everyday speeds?

几乎没有：客机速度（约 900 km/h）下 γ − 1 约为 3×10⁻¹³；但 GPS 卫星需要同时修正狭义和广义相对论效应（本工具只计算狭义相对论部分）。Barely: at airliner speed (about 900 km/h) γ − 1 is about 3×10⁻¹³. GPS satellites must correct for both special and general relativity; this tool only covers special relativity.

计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?

「时间膨胀计算器」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Time Dilation Calculator uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.

「时间膨胀计算器」免费吗？需要注册吗？Is the Time Dilation Calculator free? Do I need an account?

「时间膨胀计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Time Dilation Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.