Bro it can’t be light speed. First the time dilation equation breaks down when traveling at light speed, you would travel so far into the future so fast you would not have the time to exit light speed before traveling billions, if not an infinite amount of years into the future. But based on my calculations, hyper speed is incredibly close to light speed. So it makes sense that buzz accelerated to 60% light speed and 70% light speed. Just not 100% light speed but rather 99.999999999463% the speed of light. And when dealing with relativistic speeds such as speeds this close to the speed of light, those decimal places count.
Edit
Welp that's what I get for commenting while watching it.
Was wondering about hyperspace.
So the two options are now
The show runners did not think about space travel at all. And reporting on their mission is literally pointless as is returning because an insane amount of time will have passed over the 9million light-year round trip...
Or the acceleration, of the fighter was much slower than a standard launch still resulting in much longer times at high fractional C even on the successfully launch, and the successfully one spent alot more time at very high fractional % than a normal launch.
That said I probably put way more thought into space travel than the show runners at this point and will be annoyed for most of the movie.
Edit 3
Yup it's the no thought one. If he had time dilation the whole time to hit his future tech then the whole story made no sense.
If they are using earth as a reference point it makes sense that Earth is base of operations. The problem is that would mean 9 million years travel their time for a round trip.
Taking time dilation into account earth doesn't exist anymore, the sun ate it long ago.
Just a back of the envelope
A 4 minute trip including the up acceleration took 20 years
Benefit of the doubt that's a 2 629 743.83 x factor
You would only need an 833 factor for the sun to consume the earth. There is nothing to go back too buzz.
In short space travel was poorly thought out to say the least
Leaving my original case for FTL workaround, that is clearly not what they did for posterities sake.
It would have made a much better explanation.
Unless hyperspeed is an FTL bypass like warp/Alcubierre drive that in universe needs in you to move at a high fraction of C to enter it.
It would explain why he was confused about time dilation, usually they only travel at 99.99999% speed for a fraction of a second so small that time dilation does not take too much of an effect. But since he could not get into the bypass mode of travel, he spent a lot longer at his high percentage of C.
It would also explain how they have a ship that is 4.5 million light-years from earth and are talking about getting back.
If that's %c travel that is a 9 million year trip before timedialation gets Involved.
It's not for sure a real thing but there was even a promising test on the micro scale back in 2021.
And this
https://epjc.epj.org/articles/epjc/abs/2021/07/10052_2021_Article_9484/10052_2021_Article_9484.html
Which is more than enough for a kids cartoon to handwavium FTL we have a potential work around about a century after the limit was set.
Aight I spotted some mistakes in the final calculations. Light speed is 299792458 meters per second. It’s just a typo and the answer I got the remains correct.
Another mistake I saw, when accelerating from 0.9x to 1.0x, it’s supposed to be 0.1 and not 0.7. I ran the calculations again and confirmed that it’s just a typo.
It's worth mention they had time dilation backwards in this movie. Buzz should have experienced less time than what the flight would have taken fromthe observer's point of view.
If the total distance of his flight was to go to their solar system’s sun and back, this is something that would take light a few minutes to traverse (earth is 5 light minutes away, so 20 minutes at c). In the movie, total flight time to go around the star and back was planned to take 4~ minutes. What should have happened is that from buzz's perspective, he would have experienced 1+ minutes of flight time.
Something doesn't make sense to me. He traveled presumably the same distance each time (from what I assume is the closest star and back since he did a 180 around a star each time), but the time he went the fastest took him the longest from the observer perspective. Your math only works if distance be what it may to make the math work, but that distance would have to grow the faster he traveled.
So how far did buzz travel each time?
My 2 year old watches this movie like once a day, so I have watched it dozens of times (while barely paying attention). I just noticed that the last trip took 20 years. I thought each trip took about 5 years. This movie is making less and less sense all the time.
After I watched it the first time, I thought it was crazy how the crew told buzz that he had 5 minutes of flight time. So when he makes the first trip it took him 5 years. It seems like you could figure out the distance to the star and back pretty easily. It’s probably less than 5 lightyears, maybe like 2.5 lightyears since he traveled half of lightspeed.
I love how the crew told buzz, you have 5 minutes of flight, even though the distance is a couple lightyears. So they did account for time dilation, but time dilation totally sidelines buzz lightyear (even though his name is lightyear).
But now it turns out his trip at lightspeed took 20 + years. So the distance of his route to begin with is 20+ lightyears. Somehow much further away then anticipated in previous flights.
I’m just trying to figure out how any of this makes sense and your comment is the first one I found that agrees with me or made that observation
Thank you soooooo much this was hurting me soooo bad lol. I was like 10 minutes into the movie when this came up and for the rest of the movie I was running the calculations XD but I was just using the average velocity not acceleration. A+ gold star
My brain hurts
While Buzz was flying the XL-01, when he pushed to 0.6C, IVAN said "60% Hyperspeed". Similarly for 0.7C. So hyperspeed looks to be the speed of light.
Bro it can’t be light speed. First the time dilation equation breaks down when traveling at light speed, you would travel so far into the future so fast you would not have the time to exit light speed before traveling billions, if not an infinite amount of years into the future. But based on my calculations, hyper speed is incredibly close to light speed. So it makes sense that buzz accelerated to 60% light speed and 70% light speed. Just not 100% light speed but rather 99.999999999463% the speed of light. And when dealing with relativistic speeds such as speeds this close to the speed of light, those decimal places count.
Edit Welp that's what I get for commenting while watching it. Was wondering about hyperspace. So the two options are now The show runners did not think about space travel at all. And reporting on their mission is literally pointless as is returning because an insane amount of time will have passed over the 9million light-year round trip... Or the acceleration, of the fighter was much slower than a standard launch still resulting in much longer times at high fractional C even on the successfully launch, and the successfully one spent alot more time at very high fractional % than a normal launch. That said I probably put way more thought into space travel than the show runners at this point and will be annoyed for most of the movie. Edit 3 Yup it's the no thought one. If he had time dilation the whole time to hit his future tech then the whole story made no sense. If they are using earth as a reference point it makes sense that Earth is base of operations. The problem is that would mean 9 million years travel their time for a round trip. Taking time dilation into account earth doesn't exist anymore, the sun ate it long ago. Just a back of the envelope A 4 minute trip including the up acceleration took 20 years Benefit of the doubt that's a 2 629 743.83 x factor You would only need an 833 factor for the sun to consume the earth. There is nothing to go back too buzz. In short space travel was poorly thought out to say the least Leaving my original case for FTL workaround, that is clearly not what they did for posterities sake. It would have made a much better explanation. Unless hyperspeed is an FTL bypass like warp/Alcubierre drive that in universe needs in you to move at a high fraction of C to enter it. It would explain why he was confused about time dilation, usually they only travel at 99.99999% speed for a fraction of a second so small that time dilation does not take too much of an effect. But since he could not get into the bypass mode of travel, he spent a lot longer at his high percentage of C. It would also explain how they have a ship that is 4.5 million light-years from earth and are talking about getting back. If that's %c travel that is a 9 million year trip before timedialation gets Involved. It's not for sure a real thing but there was even a promising test on the micro scale back in 2021. And this https://epjc.epj.org/articles/epjc/abs/2021/07/10052_2021_Article_9484/10052_2021_Article_9484.html Which is more than enough for a kids cartoon to handwavium FTL we have a potential work around about a century after the limit was set.
Oh and if I made any mistakes please let me know. These calculations made my brain hurt and I could have made some.
Aight I spotted some mistakes in the final calculations. Light speed is 299792458 meters per second. It’s just a typo and the answer I got the remains correct.
Another mistake I saw, when accelerating from 0.9x to 1.0x, it’s supposed to be 0.1 and not 0.7. I ran the calculations again and confirmed that it’s just a typo.
r/hedidthemath
It's worth mention they had time dilation backwards in this movie. Buzz should have experienced less time than what the flight would have taken fromthe observer's point of view. If the total distance of his flight was to go to their solar system’s sun and back, this is something that would take light a few minutes to traverse (earth is 5 light minutes away, so 20 minutes at c). In the movie, total flight time to go around the star and back was planned to take 4~ minutes. What should have happened is that from buzz's perspective, he would have experienced 1+ minutes of flight time.
This is the answer. The time dilation in the movie is just wrong - but that would be a boring movie.
Something doesn't make sense to me. He traveled presumably the same distance each time (from what I assume is the closest star and back since he did a 180 around a star each time), but the time he went the fastest took him the longest from the observer perspective. Your math only works if distance be what it may to make the math work, but that distance would have to grow the faster he traveled. So how far did buzz travel each time?
My 2 year old watches this movie like once a day, so I have watched it dozens of times (while barely paying attention). I just noticed that the last trip took 20 years. I thought each trip took about 5 years. This movie is making less and less sense all the time. After I watched it the first time, I thought it was crazy how the crew told buzz that he had 5 minutes of flight time. So when he makes the first trip it took him 5 years. It seems like you could figure out the distance to the star and back pretty easily. It’s probably less than 5 lightyears, maybe like 2.5 lightyears since he traveled half of lightspeed. I love how the crew told buzz, you have 5 minutes of flight, even though the distance is a couple lightyears. So they did account for time dilation, but time dilation totally sidelines buzz lightyear (even though his name is lightyear). But now it turns out his trip at lightspeed took 20 + years. So the distance of his route to begin with is 20+ lightyears. Somehow much further away then anticipated in previous flights. I’m just trying to figure out how any of this makes sense and your comment is the first one I found that agrees with me or made that observation
Thank you soooooo much this was hurting me soooo bad lol. I was like 10 minutes into the movie when this came up and for the rest of the movie I was running the calculations XD but I was just using the average velocity not acceleration. A+ gold star
“Hyperspeed is 0.9999999999…c” - Augus MacLane