Moglo się os takiego zdarzyć. Bo czasoprzestrzen to zespol zdarzeń... Zapodaje zatem poniżej wiadomość w oryginale.
From Your Digest
If it were possible to travel at 99% of the speed of light for 4 years to reach our nearest stellar neighbor, Proxima Centauri, how many years will have passed on Earth for the interstellar traveler because of time dilation due to special relativity?
Jeffrey Naujok, Computer Programming Guru, Space Freak, and font of trivia
Answered May 9
A few assumptions: first, that Alpha Centauri is exactly 4.00 light years away. It’s not, but it’s good enough for doing the math. Second, that your ship doesn’t take time accelerating/decelerating — it just jumps up to 0.99C instantaneously, and jumps back down the same. There’s no known method of propulsion where this works, but it makes the math a whole lot simpler. Third, we’re ignoring gravitic time dilation effects. As you move out of the gravity well of the Earth, the Sun, etc. your clock will run slightly faster. But the difference over the period of years is probably measured in less than seconds, so I’m not going to deal with it. Finally, I’m assuming that your ship is equipped with a radio dish that can receive TV signals from Earth at 4 light years of distance, and the Earth has a telescope that can see your ship at a distance of 4 light years. These are great for the example, but are practically impossible — think very, very large.
Now, on to the question.
So, if you were moving at 99% of the speed of light then the time it would take for you to travel the 4 light years to Alpha Centauri would be seen from Earth as taking:
4 light years / 0.99 light years/year = 4.040404… years.
So, in Earth time, you will arrive about 4 years, two weeks, and 18 hours later. Of course, on Earth, you wouldn’t get to actually see the arrival until the light traveled back from Alpha Centauri, 4 years later.
So, from the point of view of an observer on Earth, they would see you race out of the solar system at about half the speed of light (for the same reason of propagation delay of light that adds the 4 years above) and arrive at Alpha Centauri 8 years, 2 weeks and 18 hours later.
On board the ship, however, time-dilation goes the other way. You would see yourself race out of the solar system at over 7 times the speed of light, and you would experience the trip taking only about 206 days, or a little shy of 7 months.
When you arrive at Alpha Centauri, the news broadcasts you receive from earth will be about the 2 week anniversary of your ship leaving the solar system.
Assuming you then turn around and race back to Earth, it gets really weird.
Your trip back, from your perspective, will take another 206 days, and you’ll arrive back at Earth only a little more than a year older than when you left.
But, as you race back to Earth, you’ll see all the TV broadcasts for the last 8 years zipping across your screen at high speed.
Meanwhile, back on Earth, looking through their massive telescopes, they will see your vessel turn around at Alpha Centauri and race back to Earth at insane speeds. Making the entire trip in just a little more than two weeks. Equivalent to over 100 times the speed of light and arriving just 8 years 4 weeks, 1 day and 12 hours after you left.
I’ll let you ponder on that one.
> To, że nadświetlna podróśż jest równoważna podróży w czasie*)
> wszycy więdzą od "zawsze" i jest to jeden z argumentów,
> tych poważniejszych niż "a energii by zabrakło", przz które twierdzimy,
> że STW nie dopuszcza, by materialne obiekty (a nawet informacja!)
> podróżowały szybciej niż światło.
>
> *)Jeśli popatrzymy na linie zdarzeń, która jest 'nadświetylna',
> to istnieje układ inercjalny, gdzie wszytkie te zdarzenia są równocesne,
> istneiją teą ukłądy, gdzie te zdarzenia są w odwrotnej kolejności.
> Nie dziwi sięc zupełnie, że nadświeltna podróż jest równoważna podróży
> w czasie.
> pzdr
> bartekltg
Nie chce mi się z Toba uzerac ale skoro zarzuciles mi, ze sam tego nie
przeanalizowałem to zapodaje, ze to nie jest takie proste. Gosciu, programista
komputerowi zapewne piszący miliony programów, mogl sobie obliczyć gamme, która
dla v = 0.99 c wynosci 7 i zinterpretowal ja jako predkosc 7 razy wieksza.
Już kiedyś tez o tym pisalem ze jak czas się zdylatuje czyli naciągnie
7-krotnie to predkosc powinna zmaleć a nie wzrosnąć bo w zaleznosci na
predkosc czas wystepuje w mianowniku.
No ale w tej naj.debilniejszej teorii wszystko jest możliwe. W końcu te
predkosc mierza obserwatorzy a nie sam pilot rakiety, ktoremu tej swojej
predkosci w próżni mierzyc nie wolno.
Pozdr
Tornad