Relativity of Simultaneity and the Perception of Time in Motion

In summary, the relativity of simultaneity states that when two people are at opposite ends of a moving train and sign a paper at the same time according to their reference frame, observers outside the train will see the person on the back of the train sign first. This is because the speed of light is constant, and the back of the train moves towards the light while the front of the train moves away from it. This also explains why the signing of the papers does not have to occur at the same time for outside observers, but the paper being signed and the light reaching the person signing the paper must occur simultaneously due to the invariance of the speed of light.
  • #1
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according to the relativity of simultaneity, when two people are at opposite ends of a moving train, and in their reference frame sign a paper at the same time when a beam of light emitted from the center of the train reaches them, observers on the outside of the train will say that the person on the back of the train signed first. The reason being that the speed of light is constant and the back of the train moves toward the light while the front of the train moves away from the light. Why is it that the signing of the papers does not have to occur at the same time for the observer on the outside of the train, but the paper being signed and the light reaching the person signing the paper must occur at the same time?
 
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  • #2
Why is it that the signing of the papers does not have to occur at the same time for the observer on the outside of the train, but the paper being signed and the light reaching the person signing the paper must occur at the same time?
Because the speed of light is invariant.
 
  • #3
If something happens six light-seconds away, the light from that event will reach your eyes six light-seconds after it happened. Therefore, the only sensible definition of when it happened is "six light-seconds before the light hit my eyes".

The point of the train thought experiment is that observers in motion relative to one another but applying this altogether sensible definition of when events happen will come to different conclusions about which events happened "at the same time".
 

Related to Relativity of Simultaneity and the Perception of Time in Motion

What is the concept of "relativity of simultaneity"?

The relativity of simultaneity is a concept in Albert Einstein's theory of special relativity that states that the perception of the simultaneity of two events is relative to the observer's frame of reference. This means that two events that are perceived as happening simultaneously by one observer may not be perceived as simultaneous by another observer in a different frame of reference.

How does the relativity of simultaneity affect our understanding of time?

The relativity of simultaneity challenges the traditional concept of absolute time, where all events are perceived to be simultaneous regardless of the observer's frame of reference. Instead, it suggests that time is a relative concept and can vary depending on the observer's perspective and relative motion.

Can you provide an example of the relativity of simultaneity?

Imagine two people, A and B, standing at opposite ends of a moving train. Person A drops a ball at the same time that person B claps their hands. To person A, the ball and the clap are perceived to be simultaneous. However, to person B, who is moving relative to person A, the ball may hit the ground before the clap is heard. This illustrates the relativity of simultaneity, where the perception of simultaneous events is relative to the observer's frame of reference.

How does the relativity of simultaneity impact our understanding of causality?

The relativity of simultaneity also challenges our understanding of causality, as it suggests that the perception of cause and effect may vary depending on the observer's frame of reference. In the example above, person A may perceive the ball hitting the ground as the cause of the clap, while person B may perceive the clap as the cause of the ball hitting the ground.

What implications does the relativity of simultaneity have for our daily lives?

The relativity of simultaneity has significant implications for our daily lives, as it challenges our traditional understanding of time and causality. It also has practical applications in fields such as GPS technology, where the accurate timing of events is crucial for navigation. It also highlights the importance of considering multiple perspectives and frames of reference in any scientific or real-world observation.

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