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MachPrincipe
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A yes answer can cause conceptual problems. What is your opinion?
I think that "the" reason is too strong of a claim, but certainly understanding the relativity of simultaneity is important for understanding time dilation. Failure to understand the relativity of simultaneity is the key conceptual problem faced by students of SR:MachPrincipe said:A yes answer can cause conceptual problems. What is your opinion?
Metaphorically you could say length contraction and time dilation are two sides of the same coin. That coin is the relativity of simultaneity.MachPrincipe said:A yes answer can cause conceptual problems. What is your opinion?
That the question is poorly formulated.MachPrincipe said:What is your opinion?
MachPrincipe said:A yes answer can cause conceptual problems. What is your opinion?
MachPrincipe said:A yes answer can cause conceptual problems. What is your opinion?
The bad wording of the question is intentional. I wanted to see some reference to the mutual time dilation. Basically, one observer can say that it is the other obserrver who sees her moving and time dilated because of relativity of simultaneity, so, in this sense, relativity of simult. can be seen as a «reason» for time dilation. From this case you extrapolate to every single inertial frame, forget that in your calculations you first introduce some time dilation too, and you are done: simultaneity has to do, entirely, with time dilation.Perhaps there is some way to justify the argument in the other direction, but I'm not aware of it offhand.
That is not acceptable.MachPrincipe said:The bad wording of the question is intentional.
The relativity of simultaneity is a fundamental principle of Einstein's theory of relativity, which states that the concept of "simultaneity" is relative and depends on the observer's frame of reference. In other words, what is considered simultaneous for one observer may not be simultaneous for another observer moving at a different velocity.
The relativity of simultaneity is one of the key factors that leads to time dilation. As time is relative and depends on the observer's frame of reference, an observer in relative motion will experience time passing at a different rate than an observer at rest. This is known as time dilation.
Imagine two spaceships, A and B, moving in opposite directions at high speeds. From the perspective of an observer on spaceship A, time on spaceship B would appear to be passing slower due to the relativity of simultaneity. Similarly, from the perspective of an observer on spaceship B, time on spaceship A would appear to be passing slower. This is known as the twin paradox, where one twin ages slower than the other due to differences in their relative velocities.
No, the relativity of simultaneity is one of the factors that contribute to time dilation, but there are other factors such as gravitational time dilation, which occurs due to the influence of gravity on the passage of time. Additionally, the relative velocity between two observers is also a contributing factor to time dilation.
The concept of relativity of simultaneity and time dilation challenges our traditional understanding of time as a universal constant. It shows that time is relative and can be affected by different factors such as velocity and gravity. This has significant implications for our understanding of the universe and how we measure the passage of time.