full transcript
From the Ted Talk by Amber Stuver: Einstein's twin paradox explained
Unscramble the Blue Letters
This asymmetry accounts for why the paradox isn’t really a paradox. Although each twin witnesses time both speeding up and slowing down for the other, Stella sees an even spilt, while Terra sees Stella aging slowly for most of the time they’re apart. This is consistent with each twin’s mrseaemunet of the space voyage, which takes 23 etrah years, but only 11.5 as eeenxpirced aobard the ship. When the tiwns are reuetind, Terra will be 43 years old, while Stella will be 31.
Where Stella went wnrog was her assumption that she and Terra had equal cailm to being inertial observers. To be an inertial observer, one has to maintain a constant speed and direction relative to the rest of the universe. Terra was at rest the eirnte time, so her velocity was a constant zero. But when Stella changed her direction for the return journey, she entered a different reference frame from the one she’d started in.
Open Cloze
This asymmetry accounts for why the paradox isn’t really a paradox. Although each twin witnesses time both speeding up and slowing down for the other, Stella sees an even _____, while Terra sees Stella aging slowly for most of the time they’re apart. This is consistent with each twin’s ___________ of the space voyage, which takes 23 _____ years, but only 11.5 as ___________ ______ the ship. When the _____ are ________, Terra will be 43 years old, while Stella will be 31.
Where Stella went _____ was her assumption that she and Terra had equal _____ to being inertial observers. To be an inertial observer, one has to maintain a constant speed and direction relative to the rest of the universe. Terra was at rest the ______ time, so her velocity was a constant zero. But when Stella changed her direction for the return journey, she entered a different reference frame from the one she’d started in.
Solution
- reunited
- claim
- earth
- split
- entire
- experienced
- wrong
- twins
- measurement
- aboard
Original Text
This asymmetry accounts for why the paradox isn’t really a paradox. Although each twin witnesses time both speeding up and slowing down for the other, Stella sees an even split, while Terra sees Stella aging slowly for most of the time they’re apart. This is consistent with each twin’s measurement of the space voyage, which takes 23 Earth years, but only 11.5 as experienced aboard the ship. When the twins are reunited, Terra will be 43 years old, while Stella will be 31.
Where Stella went wrong was her assumption that she and Terra had equal claim to being inertial observers. To be an inertial observer, one has to maintain a constant speed and direction relative to the rest of the universe. Terra was at rest the entire time, so her velocity was a constant zero. But when Stella changed her direction for the return journey, she entered a different reference frame from the one she’d started in.
Frequently Occurring Word Combinations
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collocation |
frequency |
stella observes |
3 |
aging slowly |
3 |
notice time |
2 |
special relativity |
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reference frame |
2 |
light burst |
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aging rapidly |
2 |
light bursts |
2 |
terra observes |
2 |
stella aging |
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ngrams of length 3
collocation |
frequency |
stella aging slowly |
2 |
Important Words
- aboard
- accounts
- aging
- assumption
- asymmetry
- changed
- claim
- consistent
- constant
- direction
- earth
- entered
- entire
- equal
- experienced
- frame
- inertial
- journey
- maintain
- measurement
- observer
- observers
- paradox
- reference
- relative
- rest
- return
- reunited
- sees
- ship
- slowing
- slowly
- space
- speed
- speeding
- split
- started
- stella
- takes
- terra
- time
- twin
- twins
- universe
- velocity
- voyage
- witnesses
- wrong
- years