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arnaldocan
arnaldocan
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Trying to grasp special relativity concepts, I thought in the following experiment.

Imagine Alice took a trip in a spaceship to another star. Now, she is returning close to light speed. When she passes by Pluto, she is no longer accelerating. In this exact moment, she starts her chronometer at 0:00:00.

Meanwhile, on Earth, Bob has a telescope pointing to Pluto. The moment he sees Alice's spaceship passing Pluto, he also starts his chronometer, but instead of starting at 0:00:00, he compensates for the time light took to travel from Pluto to Earth.

Alice isn't aiming exactly at Earth, so she is not slowing down. When she passes by Earth, she takes a Picture from Bob's chronometer, while Bob takes a picture from her chronometer.

Question: watchwhich chronometer will be late? The two observers should perceive each other's time running slow. Which one is correct?

Considerations:

  1. Suppose Earth and Pluto are aligned in relation to Alice path.

  2. Earth's and Sun's gravitational effects should be ignored to avoid general relativity issues. The same applies to Earth orbital translation.

Trying to grasp special relativity concepts, I thought in the following experiment.

Imagine Alice took a trip in a spaceship to another star. Now, she is returning close to light speed. When she passes by Pluto, she is no longer accelerating. In this exact moment, she starts her chronometer at 0:00:00.

Meanwhile, on Earth, Bob has a telescope pointing to Pluto. The moment he sees Alice's spaceship passing Pluto, he also starts his chronometer, but instead of starting at 0:00:00, he compensates for the time light took to travel from Pluto to Earth.

Alice isn't aiming exactly at Earth, so she is not slowing down. When she passes by Earth, she takes a Picture from Bob's chronometer, while Bob takes a picture from her chronometer.

Question: watch chronometer will be late? The two observers should perceive each other's time running slow. Which one is correct?

Considerations:

  1. Suppose Earth and Pluto are aligned in relation to Alice path.

  2. Earth's and Sun's gravitational effects should be ignored to avoid general relativity issues. The same applies to Earth orbital translation.

Trying to grasp special relativity concepts, I thought in the following experiment.

Imagine Alice took a trip in a spaceship to another star. Now, she is returning close to light speed. When she passes by Pluto, she is no longer accelerating. In this exact moment, she starts her chronometer at 0:00:00.

Meanwhile, on Earth, Bob has a telescope pointing to Pluto. The moment he sees Alice's spaceship passing Pluto, he also starts his chronometer, but instead of starting at 0:00:00, he compensates for the time light took to travel from Pluto to Earth.

Alice isn't aiming exactly at Earth, so she is not slowing down. When she passes by Earth, she takes a Picture from Bob's chronometer, while Bob takes a picture from her chronometer.

Question: which chronometer will be late? The two observers should perceive each other's time running slow. Which one is correct?

Considerations:

  1. Suppose Earth and Pluto are aligned in relation to Alice path.

  2. Earth's and Sun's gravitational effects should be ignored to avoid general relativity issues. The same applies to Earth orbital translation.

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arnaldocan
arnaldocan
  • 113
  • 3

Time dilation and symmetry in special relativity

Trying to grasp special relativity concepts, I thought in the following experiment.

Imagine Alice took a trip in a spaceship to another star. Now, she is returning close to light speed. When she passes by Pluto, she is no longer accelerating. In this exact moment, she starts her chronometer at 0:00:00.

Meanwhile, on Earth, Bob has a telescope pointing to Pluto. The moment he sees Alice's spaceship passing Pluto, he also starts his chronometer, but instead of starting at 0:00:00, he compensates for the time light took to travel from Pluto to Earth.

Alice isn't aiming exactly at Earth, so she is not slowing down. When she passes by Earth, she takes a Picture from Bob's chronometer, while Bob takes a picture from her chronometer.

Question: watch chronometer will be late? The two observers should perceive each other's time running slow. Which one is correct?

Considerations:

  1. Suppose Earth and Pluto are aligned in relation to Alice path.

  2. Earth's and Sun's gravitational effects should be ignored to avoid general relativity issues. The same applies to Earth orbital translation.