Angular momentum and the twin paradox

This is known as gravitational time dilation.In summary, being on a merry-go-round approaching the speed of light would result in time dilation, and this analogy can be applied to Earth's position in our galaxy, with time passing slower the closer we are to the center due to gravitational time dilation.
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DARKSYDE
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If you were spinning on a marry-go-round approaching the speed of light, would you experience time dialation?
 
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DARKSYDE said:
If you were spinning on a marry-go-round approaching the speed of light, would you experience time dialation?

Yes, and (in contrast to the linear case), both you AND an observer at the center of the merry-go-round (or any observer fixed to the ground) would agree AT ALL TIMES that YOU are the one who is ageing more slowly.

Mike Fontenot
 
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Could this analogy be applied to Earth and our our solar system and its position on an outter arm of the milkyway? would the way we experience time be different if we were closer to the center of our spiral galaxy?
 
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DARKSYDE said:
Could this analogy be applied to Earth and our our solar system and its position on an outter arm of the milkyway? would the way we experience time be different if we were closer to the center of our spiral galaxy?

Yes. If we ignore everything except the black hole at the center for simplicity, being closer to the centre means that you are deeper in the gravitational well, so time passes slower, all other parameters kept constant.
 

FAQ: Angular momentum and the twin paradox

What is angular momentum?

Angular momentum is a measure of the rotation of an object around a fixed point. It is a vector quantity that depends on the mass, velocity, and distance from the axis of rotation.

How is angular momentum related to the twin paradox?

In the twin paradox, one twin travels at high speeds while the other stays on Earth. Due to the high speeds, the traveling twin experiences time dilation, causing them to age slower than the twin on Earth. Angular momentum is conserved in this scenario, meaning that the traveling twin's angular momentum will decrease as they age slower, while the Earth twin's angular momentum remains constant.

Can angular momentum be changed in the twin paradox?

No, angular momentum is a conserved quantity, meaning it cannot be created or destroyed. In the twin paradox, the traveling twin's angular momentum will decrease due to time dilation, but it cannot be changed by any external forces.

How does angular momentum affect the twin paradox experiment?

Angular momentum plays a crucial role in the twin paradox experiment. It helps to explain the time dilation and aging differences between the traveling twin and the Earth twin. Without considering angular momentum, the twin paradox would be difficult to understand and explain.

Is there a way to resolve the twin paradox using angular momentum?

Yes, by considering the conservation of angular momentum, the twin paradox can be resolved. It helps to explain the asymmetry in aging between the traveling twin and the Earth twin and provides a more comprehensive understanding of the paradox.

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