IAAParticle Accelerator Technician...
Turanil said:
As most people in our western society, and probably everyone on these boards, I know that if a starship could travel at a speed close to that of light, time would pass much slower for it that it would pass for things immobile (or very slow). So, the starship for instance would travel a distance of two light years in three months of its own time, while two years passed on the planet it left (and the one it reaches).
More or less right. If a ship traveled at an average of about 90% the speed of light, it would take about 4.5-5 years to reach Alpha Centauri, and a little over 2 years of apparent time would have passed for the passengers on the ship.
Turanil said:
1) If a thing would travel at exactly 100% the speed of light (despite it is theoretically impossible and would require infinite energy expenditure), would time slow so much as to stop altogether, meaning the starship ceases to age if even for only one nanosecond? Or does time still pass at the speed of light. (I hope my question is comprehensible)
Problem #1: Anything that travels at the speed of light cannot have mass.
Problem #2: Anything that travels at the speed of light only travels at the speed of light; there's no slowing down or speeding up.
Setting those aside, we delve into Sci-fi speculation. As you approach the speed of light, time slows down to the passengers. The limit of that equation, as Michael Morris said, approaches, but never quite reaches, zero. The assuption would be, therefore, that time stands still for whatever object is travelling at the SoL (an appropriate acronym, as we will find out shortly).
So, the SoL drive gets activated, the ship travels to its destination, and slows back down to 'normal' speeds. From the viewpoint of the SoL passengers, as soon as the ship reaches the SoL, time stops and resumes, once it begins slowing down. The entire journey at SoL does not exist for the passengers; to them, it is as if the ship itself instantly jumped from one point in space to another.
Sounds a lot like sci-fi 'hyperdrive/jumpgate/warp drive' type stuff, doesn't it? The main difference, is that during that instant transport moment, time is still passing for the rest of the universe... The passengers not only instantly arrive 4 light years distant, but 4 irreversable years into the future.
Now, here's the tricky part... When you travel anywhere, you have to know when to turn off the engines and stop. But, if you are travelling at the SoL, time is frozen. Not only can you not percieve the appropriate time to stop the SoL engine, but you simply couldn't act to turn off, even if you wanted to. What would be need would be some sort of relativistic 'net' at the end of your journey to 'catch' the SoL ship, turn its SoL engine off, and slow it down to 'normal' speeds. Of course, given the astronomical distances traveled at the SoL, you'd need a 'net' that was AUs across to even have a slight chance of hitting it from parsecs away. Remember, once you are SoL, you also can't adjust your course.
This is why, intentional or not, Science Fiction appropriately uses Jump Gates, Wormholes, Hyperspace, Warp Drives and other means of making extradimensional shortcuts through which you travel at normal speeds, rather than actually travelling as fast or faster than light.
Conceptually, it's 'easier'... and universally legal... to bring the mountain to Mohammed, so to speak.
The closest thing to the SoL travel you suggest would actually be Star trek transporters, with the exception that you'd
need a recieving transporter to arrive at your estination.
Turanil said:
2) Supposing time still pass when at 100% the speed of light. Inside the starship that travels at 100% light speed, someone has to go from the back of the starship to the front. So, with regard to things immobile outside of the starship, he is moving slightly faster than the speed of light; so would it be impossible to walk forward in the starship?
In regards to the non-SoL point of view, he would be frozen in mid-step, and would finish the step as soon as the ship slows down.
From the SoL point of view, he lifts his foot as the ship leaves Sirius and in less than an instant, the ship is approaching Betelgeuse as he puts his foot down.
Turanil said:
3) Now, suppose time ceases to pass at exactly 100% of the speed of light. Fact is, a photon begins its travel from a star instantaneously at the speed of light; and then reaches a distant planet still at 100% of the speed of light. Between the moment when the photon was emited by the star, and the moment it reaches a planet, says that 5 years of local time have passed on said planet. However, since the photon travels at 100% light speed, no time at all passed for the photon. If indeed that is the case, at time 0 the photon is both at its point of departure and point of arrival 5 light-years-distance away. So the photon is simulateously at the same moment everywhere on the trajectory. Therefore, it could be said that subjectively the photon doesn't move at all, it exists in all places at the same moment.
Yup... From the point of view of the photon itself, that sounds about right.
Turanil said:
My question is that if I interpret things rightly, I wonder if there is not something extremely important lying there. Something about the nature of reality, of space and time itself, etc.
Undoubtedly there is. Figure it out, and they'll give you a Nobel Prize.
