
Gridwalker
Ministry of War Amarr Empire
1
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Posted - 2011.12.21 11:43:00 -
[1] - Quote
Isabelle Evotori wrote:Thx for the info. Not that i was planing on doing such a thing. because the distances are huge. and time is short. And time dilation should prevent warping to a noter solar-system in the first place. because everybody will be 500 years dead by the time you'd get there. So it is kind of logical that the system is empty then.
Hmmmm kind of imersive when you think of it that way.
The formula to calculate this, if you're interested, is called the Lorentz Transformation:
g = 1 / SQRT( 1 - ( v^2 / c^2 ) )
Let's use that 52,000 m/s figure from Zercodo's ultra-fast interceptor... (The space shuttle travels at around 7,778 m/s in orbit, depending on altitude, if you're curious.)
g = 1 / SQRT( 1 - ( 52000^2 / 299792458^2 ) ) g = 1.00000002
In other words, for every day you traveled, your "time dilation" would be about 0.0017 seconds (1.7 milliseconds).
I'm not convinced that the time dilation would be particularly significant for even the fastest ship.
We have a bigger physics problem with ship travel in EVE. An AU is 149,598,000,000 meters. Let's take the slowest ship in warp, the freighter, at 0.75 au/s. That gives us 112,198,500,000 m/s while in warp. Now light "only" goes 299,792,458 m/s. In other words, even in a freighter, you're warping at over 374.25 times the speed of light.
What happens to our Lorentz Transformation at that speed? Ugly, ugly things. :)
g = 1 / SQRT( 1 - ( 112198500000^2 / 299792458^2) ) g = 1 / SQRT( -140065 )
Uh oh, square root of a negative number!
g = -0.0026719923 i
Notice that "i" at the end? That indicates an "imaginary" number. That's what a mathematician would say given that equation. A physicist, on the other hand, would say "you're violating the laws of physics!" (Actually, they would probably mumble about a "Lorentz symmetry violation", and then wander off shaking their heads.)
The implication could be that, if the freighter travels for a day, it will arrive around 231 seconds before it left. Or it could be that the laws of the universe simply won't let it happen, because it would take infinite energy to accelerate a spaceship to the speed of light, which is why you can never actually go faster than light in the first place.
Of course, there IS a bit of a way around this in the EVE lore. I believe in EVE, ships use a variation on the "Alcubierre drive", which creates a bubble of space-time. The ship itself doesn't move; space-time does. It's a real theory. You can look it up. There are a few engineering difficulties with it, but the theory does allow us to stay within Einstein's laws while traveling faster than light and without arriving at your destination with everyone you know already dead, or arriving before you left. Which are two things I always check for before booking a flight. ;-) |