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  2. time dilation, in the theory of special relativity, theslowing downof a clock as determined by an observer who is in relative motion with respect to that clock. In special relativity, an observer in inertial (i.e., nonaccelerating) motion has a well-defined means of determining which events occur simultaneously with a given event.

    • Twin Paradox

      twin paradox, an apparent anomaly that arises from the...

    • Simultaneity

      time dilation. In time dilation …merely reflects the fact...

  3. Time dilation is the difference in elapsed time as measured by two clocks, either because of a relative velocity between them (special relativity), or a difference in gravitational potential between their locations (general relativity). When unspecified, "time dilation" usually refers to the effect due to velocity.

    • Time Dilation Defined
    • Time Dilation and The Speed of Light
    • Time Dilation and Gravity
    • Time Dilation Equation
    • Time Dilation in Space
    • The Twin Paradox
    • Additional Time Dilation Resources

    Time dilation is the slowing of timeas perceived by one observer compared with another, depending on their relative motion or positions in a gravitational field. It's a consequence of Einsteinian relativity, in which time is not as absolute as it might appear; the rate at which it passes is different for observers in different frames of reference. ...

    The theory of relativity has two parts — special relativity and general relativity — and time dilation features in both. The principle that the speed of light is the same for all observers plays a key role in special relativity. One of its consequences, according to Boston University physicist Andrew Duffy, is that two observers moving at a constan...

    Ten years after he postulated special relativity, Einstein expanded his theory to include gravitational effects in general relativity. But time dilation in this theory depends not on the speed of travel but the strength of the local gravitational field. We already live in a moderate gravitational field on Earth's surface, so it turns out, we're sub...

    Einstein's original time dilation equation is based on special relativity. As daunting as the equation looks at first glance, it's not that difficult if we have a scientific calculator and work through the formula step by step. First, take the speed v of the moving object and divide it by c, the speed of light, and square the result. This should gi...

    Time dilation is of double relevance to spacecraft, due both to their high speeds and the changing gravitational fields they experience. In 2020, a group of students at the University of Leicesterin the U.K. computed the time dilation effects on NASA's Voyager 1 probe in the 43 years following its launch in 1977. Special relativity predicted that V...

    One of the most mind-bending consequences of time dilation is the so-called twin paradox. In this thought experiment, one identical twin lives on Earth while their twin takes a round trip to a distant star at velocities approaching the speed of light. When they meet up again, the traveling twin — thanks to time dilation of the special relativistic ...

    See this video from NASA: Why clocks in motion slow down according to relativity theory
    Read more about the twin paradox, from the Max Planck Institute for Gravitational Physics.
    Learn more about how relativity is essential for a working universe in "The Reality Frame" (Icon Books, 2017).
  4. Sep 12, 2022 · Definition: Time Dilation. Time dilation is the lengthening of the time interval between two events for an observer in an inertial frame that is moving with respect to the rest frame of the events (in which the events occur at the same location).

  5. The time measured in the frame in which the clock is at rest is called the "proper time". For v = c, T = T 0 For small velocities at which the relativity factor is very close to 1, then the time dilation can be expanded in a binomial expansion to get the approximate expression:

  6. The “dilated time”, \(\Delta t'\), is measured in a frame of reference that is moving relative to the clock. The factor by which time is dilated comes up often in Special Relativity, and is called the gamma factor: \[\gamma=\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}\]

  7. We'll start thinking about time dilation in special relativity and how a Loedel diagram can help up appreciate symmetry between inertial frames.

    • 9 min
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