I don’t want to be rude but this isn’t correct as far as my understanding. I’m no expert, so I’m not confident in my ability to describe exactly how… But the phrase “you may travel ~9 light years to Sirius in a matter of months from your perspective, but 10 years pass for everyone else.” I don’t think that is correct exactly.
Again not trying to be rude and I am very happy to be corrected but I want to understand it.
The time dilation effect is pretty well known and comes naturally from the equations of the General Relativity Theory.
It’s also been proven experimentally in particle accelerators (like CERN) when particles with at rest very short and well known half-lives (i.e. they natural break down into other particles some time after being created) lasted a lot longer (from our point of view) when travelling at near light speed.
However that effect only really starts getting noticeable without special equipment when the speed something is travelling at is getting near the speed of light (something like 90% or more of light speed).
This works correctly for the example of the previous poster because the distance to Sirius is given in light-years, which is literally the number of years that takes light (which by definition travels at the speed of light) to travel that distance.
(By the way, from the same equations from were you get time dilation comes that from the point of view light the trip is instantaneous)
So yeah, travelling a distance of that takes light 9 years to travel would be theoretically possible to do so fast (near light speed) that it would seem for those doing the trip to only take a few months (even though for those outside it would still seem to take longer than 9 years - as it takes light 9 years to get there so something at sublight speeds would take longer than the 9 years that takes for light).
Yeah, this is highly counter intutive so it “feels” wrong. If fact, the whole General Theory Of Relativity is highly counter intuitive. Yet, quite independently of what intuition (which is just a destilation of our personal experience) tells us, all that we’ve been able to observe so far in applicable situations is things happenning as predicted by that theory, not “intuition”.
I’ll put it another way then: any information you intended to send back after you arrive in Sirius would take ~9 years to arrive back home. Due to causality, this means that you cannot interact with Earth in any way for – at minimum – 9 years. However, from your perspective, you accelerated at let’s say 10 Gs (speed increased by 98 meters per second every second), until you were half-way to Sirius, which will take about 5 months. Then you decelerated at -10 Gs to arrive with 0 speed, another 5 months. You perceive only 10 months of travel, but you are now 9 light-years from home.
The math is not the part which is difficult, and requires only a basic understanding of relativistic physics. The issue is maintaining 10 Gs of constant acceleration for 10 months.
Yeesh I’m just not good at that kind of stuff. Time dialation is what is making this hard for me to wrap my head around, but basically the big issue with this method of travel is you need infinite energy (which might be something these ships somehow do) and its like fast forwarding into the future, so even if you go back immediately it will be like you were gone ~18 years but only experience less than 2.
It is certainly an interesting thing to think about, but sounds depressing in practice. If this is the practical way that some beings have traveled here, I feel like we are missing a piece of the puzzle for long distance space travel. Maybe they have a way to do something about time dilation. Or maybe they just don’t ever die…
@Stoneykins @DaughterOfMars Some don’t. Some use manufactured bodies.
The energy necessary to accelerate a bit more increases as the speed that object is travelling gets closer to the speed of light and indeed mathematically as the speed of the object gets closer to the actual speed of light the energy necessary to accelerate it gets closer to infinity.
If I remember it correctly it’s because in the General Relativity Theory in the acceleration equation (not sure anymore if it was the one that relates Force to Acceleration or the Acceleration and Velocity one) the mass of the object isn’t actually a constant amount but depends on its current velocity (it’s as if the mass became larger with velocity). Just like for the whole time dilation stuff, this effect comes from the main equations and only really becomes noticeable closer to lightspeed (i.e. at relativistic speeds, called that because that’s when you notice the effects of the Theory of Relativity, such as time dilation).
So the energy necessary to get to speeds below lightspeed yet close enough to have relatistic effects is not at all infinite, hence it is possible to reach relativistic speeds with the whole time dilation, redshift of light and other such effects, maybe even with current technology (I think we already have the tech to accelerate a ship to near lightspeed by having ground-based lasers pointed at a mirror on the back of it (so the light gets reflected - though that stuff has incredibly low acceleration as you’re literally pushing that ship with photons plus ground-based lasers inside the Earth’s athmosphere would was tons of energy due to the athmosphere).
In fact the very same experiments with subatomic particles that showed time dilation effects in their decay (which I mentioned in another comment) also showed it is possible to accelerate something to the point of having time dilation effects without infinite energy (if it happenned then it was possible to make it happen :))
You don’t need infinite energy, to be clear. Mathematically, you would need infinite energy to cross the light-speed barrier, which is why we don’t believe that it is possible. You would simply need a LOT of energy. How much would depend on the mass of the craft. Actually the bigger problem may be negating the internal G forces, as humans cannot survive 10 Gs for long (or at all), but again it seems that these UAPs are capable of that.