It needs to be pointed out that on the outbound journey, the traveling twin and the earthbound twin each sees the other’s clock as running slower.
On the inbound journey, when the twin returns to earth, each sees the other’s clock running faster. When the traveling twin returns to earth and compares his clock with his twin’s clock, each will agree that less time elapsed for the traveling twin. There is a good Scientific American analysis of this which I will try to dig up.
It’s got nothing to do with “sees.”
If the traveler travels 299,792,458 meter sticks laid end to end, and his clock elapsed 2 seconds, then his velocity is .5c, according to his clock. Light takes 1 second to travel that distance, and he takes 2 seconds. He is traveling at 1/2 the speed of light!
No.
The earth bound twin, were he able to see the traveller’s clock would see it going slower, whilst the travellling twin would see the earth boud twin’s clock as going faster.
True
He is talking about the Doppler effect - which is a different issue. The light taking time to get to the observer has its own effects separate from Special relativity effects.
Except those 1 meter sticks measure differently to the traveler.
Except there are 299,792,458 of them, regardless of how long they are. Oh, and by the way, they are METER STICKS!
Oh, and by the way, the speed of light is 299,792,458 METERS PER SECOND!
The traveler, looking at HIS CLOCK notices that at t=1 second he has counted 149,896,229 sticks that he has traveled. He is halfway there at t=1.0 second, according to his watch. At t=2 seconds according to his watch he has traveled all 299,792,458 sticks. His speed at t=1 was .5c, and at t=2 it was .5c. He had a constant velocity of .5c the entire trip.
He waits 10 seconds and starts to return to his twin on Earth. He travels the same sticks on the way home, and it takes him 2 seconds to travel those sticks.
He traveled 2 seconds there, waited 10 seconds, and returned in 2 more seconds. Total time gone was 14 seconds.
He ask his brother what time it is on his watch on Earth. The brother agrees, 14 seconds has elapsed.
Gotcha!
If they only measure 1/2 meter to the traveler - 299,792,458 of them means he only traveled 1/2 a lightsecond.
They are meter sticks, and light takes 1 second to travel those sticks, by definition.
So you say the traveler thinks that 299,792,458 meter sticks is the distance of 1/2 light second?
How much time does the traveler think it takes for light to travel those sticks?
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Why would any traveller see/experience metre sticks as half-metre sticks?
The traveler has a meter stick with him - and he measures those sticks as only 1/2 meter. Down in one corner he sees it written - “Meter” but on the back side he sees - “Made in China” - so he understands.
Observed distance contracts when at extreme velocity (according to SP).
They each have “1 METER” printed on them in large letters for all to see! LOL
Only an Einstein traveler would say they are only 1/2 meter! LOL
How much time does he measure light to travel those 299,792,458 sticks?
“Made in China” - try to keep up.
Try to keep up - only 1/2 lightsecond.
You say the traveler measures light to travel 299,792,458 Meter sticks in .5 seconds???
To him - they are only 1/2 meter sticks that are labelled “1 meter”.
So to him, it takes light .5 seconds to travel 299,792,458 1/2 meter sticks.
So you’re saying the actual distance light travels is 149,896,229 Meters, and it takes light .5 seconds to travel that distance, so light is traveling at the rate of c, the speed of light, 299,792,458 m/s.
It took the traveler 2 seconds to travel those sticks, according to his watch, so his velocity is .25c.
He traveled 149,896,229 Meters in 2 seconds, which is .25c.
So he traveled 2 seconds, waited 10 seconds, and traveled 2 seconds back, total time of 14 seconds.
His twin at home agrees with him that it took him 14 seconds to return.
…that’s observed, not actual distance …first-person perspective, so of course one person’s line of sight will be a different perspective to another’s, and so creating two different fields of vision - Is perspective a factor in the equation? it’s not.
I have yet to read Pood’s Scientific American analysis link on the paradox, to get a fuller picture of the whole argument, and the distance/velocity theory.
Notice I said the twins AGREE that it was 14 seconds.
That’s not what Relativity claims, Relativity claims they DON’T agree on 14 seconds. But there is no way out for them! LOL
They are TRAPPED!!! LOL
They already factored their BS length contraction, and the time was according to their watch. The speed of light is c. Done deal! There’s nothing left.
They MUST agree that light travels those 299,792,458 meter sticks at the speed of light, by definition.
They don’t. To them the meter stick is perfectly normal, as is the tick rate of the clock — both are exactly the same as on earth.
If the traveler were to look back at the earth with a telescope, though, he would see clocks on earth ticking more slowly and meter sticks shortened,.
Right.