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The phenomenon of time dilation is a fundamental concept in Einstein's theory of special relativity. It predicts that time appears to pass differently for observers in relative motion. When an object moves near the speed of light, its time relative to a stationary observer will appear to slow down, a phenomenon known as time dilation. This effect has been experimentally verified and is a crucial aspect of modern physics.

One way to understand the concept of time dilation is through the famous thought experiment involving "muons." Muons are subatomic particles that are created in the upper atmosphere when cosmic rays collide with air molecules. These muons are unstable and decay quickly, with a typical lifetime of about 2.2 microseconds (2.2 × 10^-6 seconds).

According to special relativity, when these muons are created high in the atmosphere and travel at nearly the speed of light, their relative velocity with respect to an observer on the Earth's surface is significant. If time dilation didn't occur, most muons would decay before they could reach the Earth's surface. However, experimental observations show that a significant number of muons do reach the Earth's surface, which can only be explained by time dilation.

From the muons' perspective, their internal clocks (decay processes) appear to run normally because they are at rest with respect to themselves. But from the perspective of an observer on Earth, the muons' internal clocks appear to be running slower due to their high velocity relative to Earth.

This experimental evidence confirms that time dilation indeed occurs when objects move near the speed of light. The faster the object moves, the more pronounced the time dilation effect becomes. This phenomenon has been verified through numerous experiments involving high-speed particles and is an essential aspect of modern physics, especially in understanding the behavior of objects moving at relativistic speeds.

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