Travelling to the Nearest Star and Time Dilationby SteveyR Tags: dilation, nearest, star, time, travelling 

#1
Apr1208, 04:25 PM

P: 1

I was reading some articles on the internet, about scientists being able create space ships capable of nearing the speed of light, some time in the future. So say they did do this and managed to reach around 0.9999999% of the speed of light and wanted to travel to the nearest star which, to keep it simple, is 1 light year away. Meaning it would take one year to reach the star. But my question is; is this one earth year, or one year from the crews point of view. Because at such speeds time dilation would mean that 1 day for the crew would be nearly 20,000 years on earth. Hence, if it is one earth year then surely the journey time for the crew, to get to the nearest star, would be only 4.32seconds. Assuming that one day is 86,400 seconds and that lasts 20,000 years, then proportionatly one year lasts 4.32 seconds. Obviously, if the journey was a year from the crews perspective then 7.3 million years would have passed by the time they reached the star which would be very impractical.
So if you could travel one light year to the nearest star would the journey last a year in earth time or a year from the space ships view? 



#2
Apr1208, 05:08 PM

P: 287

In earth time.




#3
Apr1208, 05:10 PM

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First off. 0.9999999c gets you a time dilation factor of 2236, not 20,000.
Secondly the 1 year would be Earth time. For the crew it would take 3.91 hrs. 



#4
Apr1208, 06:27 PM

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Travelling to the Nearest Star and Time Dilation 



#5
Apr1208, 06:56 PM

P: 411

If so, then what physical forces/effects accomplish this, and do it nearly instantaneously? 



#6
Apr1208, 07:04 PM

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Remember Minkowski's catchy statement: "Henceforth, space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality." 



#7
Apr1308, 05:05 AM

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Yes, the distance shrinks instantaneously, yet another reason to not consider distance as something "real", but rather something contingent. It's more like, if you are driving a car to your Aunt Tillie's house, and you have 30 miles to go at a speed of 30 mph (apologies to the metric folks), you are looking at a 1 hour drive. If you decide you need to get there in 1/2 hour, you accelerate to 60 mph. When you do that, the time you are looking at instantaneously changes from 1 hour to 1/2 hour and we now see that distance is not so very different from that.
Indeed, what is particularly "cute" is that at low speeds, the distance stays fixed and you get there sooner by covering that distance faster, but at speeds close to c, you basically shorten your trip by reducing the distance moreso than by covering it faster. So when someone says "shorten your commute by taking a faster road", if you are nearing c, they mean it quite literally! 



#8
Apr1308, 05:24 AM

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You can say that if the distance between two objects A and B at relative rest with each other is X then a traveler going from A to B travels always less than X. Gives a different spin on Zeno's paradox doesn't it 



#9
Apr1308, 10:58 AM

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Attach a rectangular coordinate system to your head, such that the xaxis is pointing straight ahead out of your nose, the yaxis is pointing out your left ear, and the zaxis is pointing upward out of the top of your head. Go outside at night and look up at a bright star. Now turn your head quickly through 30 degrees, or 45 degrees, or whatever. In the coordinate system that is fixed to your head, that star moves thousands of lightyears in the blink of an eye. What physical forces accomplished this? Did the inhabitants of a planet orbiting that star notice any effects from this? 



#10
Apr1308, 07:12 PM

P: 411

MeJennifer:
Ken G jtbell That's the point being made. If a traveler is affected by time dilation, destinations arrive earlier than expected, and it's a subjective choice to interpret this as space contraction. 



#11
Apr1308, 10:05 PM

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#12
Apr1308, 11:03 PM

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#13
Apr1508, 09:30 AM

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Science explains the physical world and the illusory world.
If space contracts for a traveler leaving the earth, why doesn't anyone else perceive it? This is the difference. The choice of longer time intervals or shorter spatial intervals is with the traveler only and no one else, i.e. it's subjective. SR is a theory of transformations of one subjective observer to another ('relativity') as a result of their motion. 



#14
Apr1508, 09:37 AM

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Hello phyti.
How does the traveller choose. The only choice he has is whether to travel or not. Matheinste 



#15
Apr1508, 09:13 PM

P: 411

good evening matheinste;
Art leaves earth in a spacecan, circles back to fly along a path parallel to the earth and moon centers which are 1.2 light seconds apart. The earth and moon send continuous signals perpendicular to his path. At .6c, his clock records .8 of earth time (time dilation). He records a time interval of (1.2/.6)*.8=1.6 secs between signals. He calculates the time should be 1.2/.6=2.0 secs. SR says he can assume he is not moving, so he chooses this option and explains the time difference as a shortening of the earthmoon separation, or so the popular opinion would have it. This is the tradeoff, if he cannot determine his state of motion, or chooses to ignore it (the earth is moving), he must accept the anomaly of length contraction. To show it's fictional, he knowing SR, and knowing the earthmoon separation from previous measurements, divides his clock time by .8, and the anomaly is gone! He would also have at least one other clue, events ahead of him would be occurring faster, and events behind occurring slower, other than dopplershifted light. 



#16
Apr1508, 10:27 PM

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#17
Apr1608, 01:09 AM

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#18
Apr1608, 04:22 AM

P: 1,060

Hello phyti.
I have nothing to add to what Jessem has written. Matheinste. 


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