The Twin Paradox: Mike & Angela's Frame of Reference

In summary, the twin paradox is a problem that arises when two twins are separated and one of them travels close to the speed of light. If the twins are in different reference frames, then the twin who travels away from Earth will see their home planet as travelling at a slower speed, while the twin who stays on Earth will see their home planet as travelling at a faster speed.
  • #1
delve
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I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't Angela see Mike's frame of reference as accelerating and decelerating, just as Mike sees Angela's frame of reference as accelerating and deceleration? Thank you.
 
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  • #2
delve said:
I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't Angela see Mike's frame of reference as accelerating and decelerating, just as Mike sees Angela's frame of reference as accelerating and deceleration? Thank you.

Angela feels the force of acceleration twice on her journey. She knows she is not in an inertial frame of reference. That is what breaks the symmetry of the scenario.
 
  • #3
it is angela who is accelrating and hence is affected by it...angela's frame is not an inertial frame but an accelerated one...on the other hand...no force is acting on mike...so his frame is an inertial frame...so angela won't see mike's frame as accelerating or decelerating...becoz the force is acting on angela and not on mike...
 
  • #4
delve said:
I am confused about the twin paradox. Let's imagine Mike and Angela are twins. Mike stays on Earth, and Angela rockets off, away from Earth at close to the speed of light, with the intention of making a round trip back to Earth at the end of her voyage. My question is this: why wouldn't Angela see Mike's frame of reference as accelerating and decelerating, just as Mike sees Angela's frame of reference as accelerating and deceleration? Thank you.

That is what they see if they use accelerated reference systems; and nature doesn't care. A change of velocity (as defined with respect to inertial reference systems) breaks the symmetry. That was already elaborated in the first paper on this topic, here (p.47, and on from p.50):
http://en.wikisource.org/wiki/The_Evolution_of_Space_and_Time
 

Related to The Twin Paradox: Mike & Angela's Frame of Reference

1. What is the Twin Paradox and why is it important?

The Twin Paradox is a thought experiment in special relativity that involves two twins, Mike and Angela, where one twin (Mike) travels at high speeds while the other twin (Angela) stays on Earth. When Mike returns, he has aged less than Angela. This paradox highlights the concept of time dilation, where time moves slower for objects moving at high speeds. It is important because it challenges our understanding of time and space and has implications for space travel and the development of scientific theories.

2. How is the Twin Paradox resolved?

The Twin Paradox is resolved by understanding that both twins have different frames of reference. Mike, who is traveling at high speeds, experiences time dilation and therefore ages slower. Angela, who is stationary on Earth, experiences time normally. When Mike returns, he has traveled through space and time, while Angela has only experienced time on Earth. This difference in frames of reference explains why Mike has aged less than Angela.

3. Can the Twin Paradox be observed in real life?

Yes, the Twin Paradox has been observed in real life through experiments with atomic clocks on airplanes and satellites. These objects are moving at high speeds, which causes time dilation to occur. The clocks that are traveling at high speeds are shown to tick slightly slower compared to stationary clocks on Earth, which is in line with the predictions of the Twin Paradox.

4. What are the limitations of the Twin Paradox?

The Twin Paradox is limited to situations where one twin is traveling at high speeds close to the speed of light. This is because time dilation becomes noticeable at these speeds. Additionally, the Twin Paradox only applies to identical twins and does not account for other factors that may affect their aging process.

5. How does the Twin Paradox relate to Einstein's theory of relativity?

The Twin Paradox is an example of the concepts of time dilation and the relativity of simultaneity, which are key principles in Einstein's theory of relativity. It demonstrates how time and space are relative and can be perceived differently depending on one's frame of reference. It also supports the idea that the laws of physics are the same for all observers, regardless of their relative motion.

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