SuperFast Guide to Time Dilation

Fact box… The Twin Paradox states that a twin who travels in space at high speeds and returns to Earth will be younger than the twin who stayed on Earth. They will have aged at different speeds.
Quick and easy summaries of relativity and related subjects
Time dilation is a concept that arises from Einstein’s theory of relativity. It refers to the difference in elapsed time as measured by two observers due to their relative motion (Special Relativity) or relative positions in a gravitational field (General Relativity). In a nutshell, time dilation is the slowing of time as perceived by one observer compared with another. Einstein’s theory of relativity introduced the idea that time is not absolute, but relative, and can pass at different rates for different observers. This might sound counterintuitive, but it’s a consequence of the fact that light always has the same measured speed regardless of the observer’s own motion. This leads to the conclusion that “moving clocks run slowly,” often used as a concise description of time dilation.
Time Dilation - A more detailed examination, and worked examples Time Dilation Calculator - A quick, easy and fascinating calculator
As noted above, time dilation can occur due to two factors:
Relative velocity (Special Relativity): In this case, an observer will observe a moving clock as ticking slower than a clock that is at rest in their own reference frame. The faster the relative velocity, the greater the time dilation, with time slowing almost to a stop as one nears the speed of light. Gravitational potential (General Relativity), i.e. the distance from a mass (such as a planet or star) of one observer relative to another. In this case, a clock that is close to a massive body (and therefore at lower gravitational potential) will record less elapsed time than a clock situated farther from the said massive body (and which is at a higher gravitational potential).
Both of these effects are of practical concern, for instance, in the operation of satellite navigation systems such as GPS (Sat Nav), which needs to take into account both Special and General Relativity in order to maintain accuracy. The predictions of time dilation have been repeatedly confirmed by experiment. However, the effect becomes detectable only under certain conditions, such as at very high speeds or involving very large masses, although we’re subject to it all the time, but just at such very small levels that it's not noticeable. In conclusion, time dilation is a fundamental aspect of our universe, deeply intertwined with the fabric of space and time. It challenges our everyday perception of time, revealing it to be far more complex and intriguing than it might appear at first glance. Suggested further reading:
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SuperFast Guide to
Time Dilation
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Quick and easy summaries of relativity and related subjects

SuperFast Guide to Time Dilation

Time dilation is a concept that arises from Einstein’s theory of relativity. It refers to the difference in elapsed time as measured by two observers due to their relative motion (Special Relativity) or relative positions in a gravitational field (General Relativity). In a nutshell, time dilation is the slowing of time as perceived by one observer compared with another. Einstein’s theory of relativity introduced the idea that time is not absolute, but relative, and can pass at different rates for different observers. This might sound counterintuitive, but it’s a consequence of the fact that light always has the same measured speed regardless of the observer’s own motion. This leads to the conclusion that “moving clocks run slowly,” often used as a concise description of time dilation.
As noted above, time dilation can occur due to two factors:
Relative velocity (Special Relativity): In this case, an observer will observe a moving clock as ticking slower than a clock that is at rest in their own reference frame. The faster the relative velocity, the greater the time dilation, with time slowing almost to a stop as one nears the speed of light. Gravitational potential (General Relativity), i.e. the distance from a mass (such as a planet or star) of one observer relative to another. In this case, a clock that is close to a massive body (and therefore at lower gravitational potential) will record less elapsed time than a clock situated farther from the said massive body (and which is at a higher gravitational potential).
Both of these effects are of practical concern, for instance, in the operation of satellite navigation systems such as GPS (Sat Nav), which needs to take into account both Special and General Relativity in order to maintain accuracy. The predictions of time dilation have been repeatedly confirmed by experiment. However, the effect becomes detectable only under certain conditions, such as at very high speeds or involving very large masses, although we’re subject to it all the time, but just at such very small levels that it's not noticeable. In conclusion, time dilation is a fundamental aspect of our universe, deeply intertwined with the fabric of space and time. It challenges our everyday perception of time, revealing it to be far more complex and intriguing than it might appear at first glance. Suggested further reading:
Time Dilation - A more detailed examination, and worked examples Time Dilation Calculator - A quick, easy and fascinating calculator