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Time dilation is a phenomenon predicted by the theory of relativity, specifically by the theory of special relativity. It describes how time can appear to run differently for objects that are in relative motion to each other.

According to special relativity, time dilation occurs when an object is moving relative to an observer at a significant fraction of the speed of light. In this scenario, time appears to slow down for the moving object as observed by the stationary observer.

To understand this concept, let's consider an example: Imagine two observers, one stationary and one moving in a spacecraft. From the perspective of the stationary observer, time appears to be passing at a normal rate. However, from the perspective of the observer in the spacecraft, time appears to be running slower.

This means that if the two observers were to compare their clocks after some period of relative motion, they would find that the clock of the moving observer has ticked fewer times compared to the clock of the stationary observer. This effect is known as time dilation.

The time dilation effect becomes more pronounced as the relative velocity between the two objects increases. As an object approaches the speed of light, time dilation becomes more significant, and time appears to slow down even more for the moving object as observed by the stationary observer.

This phenomenon has been experimentally confirmed in various ways. For example, in particle accelerators, where subatomic particles are accelerated to high speeds, their decay rates are observed to be slower compared to particles at rest. Additionally, precise atomic clocks have been used in experiments involving high-speed travel, such as the aforementioned Hafele-Keating experiment, which confirmed the time dilation effect.

Time dilation is a fundamental aspect of relativistic physics and has important implications for our understanding of space, time, and motion. It has practical applications in fields such as satellite-based navigation systems (e.g., GPS) that need to account for the effects of time dilation in order to provide accurate results.

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