Questions about the Speed of Light


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Turanil said:
Isn't it also the definition of a black hole properties? Size = 0, mass not infinite but horribly massive nontheless, time as we know it much altered. Another clue to something of utmost importance?

Even scarier thought: If Black Holes have near-infinite mass, and are a singularity, and act the same way that a vessel travelling near lightspeed would act, then what if Black Holes we discover through indirect observation in the universe are actually extraterrestrial spacefaring beings, who are simply travelling from point A to point B at or near the speed of light? :D


If they're travelling to see us, then our planet will be long gone before they get here. :)
 

Henry said:
if Black Holes we discover through indirect observation in the universe are actually extraterrestrial spacefaring beings, who are simply travelling from point A to point B at or near the speed of light? :D

I may have to use that. Cool idea!

Or, eventually every civilization gets around to discovering the way to 'get around' the speed of light and builds an FTL engine. A black hole is what happens when the researcher turns the working model on for the first time :) This would also solve our Fermi Paradox.
 

As an aside Mr. Hawking postulates that due to the Heisenberg Uncertainty Principle it is possible for subatomic particles, which have mass, to travel faster than the speed of light within the swartchchilde(sp?) radius of a black hole.
 

Henry said:
Even scarier thought: If Black Holes have near-infinite mass, and are a singularity, and act the same way that a vessel travelling near lightspeed would act, then what if Black Holes we discover through indirect observation in the universe are actually extraterrestrial spacefaring beings, who are simply travelling from point A to point B at or near the speed of light? :D


If they're travelling to see us, then our planet will be long gone before they get here. :)
And now I want to run a d20 Future game. Curse you, Henry, I'm running far more games than I need to already.
 

RE: what happens to photons that we observe.

It's a good question, with a rather mundane answer. The photon delivers its energy to the substance that it impacts (a retinal cell or the active portion of a photodetector) and ceases to exist. Or in other words, it is translated into physical motion.

In other, other words: You know that nice, warm feeling of sunlight on your skin? That's photons dying you jerk! How can you be happy about that?

/would someone just think of the photons?
 

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. ;)
 
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IAAPhysicist:

An additional item to consider -

Light can be described as both particle and wave. The trick is to choose which description makes sense in a given situation.

A photon is not a "thing" in the normal sense, as it is different from most other "things" in the universe. In this case, it is far more sensible to consider it as a wave - merely the propagation of energy through a field in space. If it isn't an object, you don't consider it's subjective clock. Of course time doesn't pass for a thing when the thing does not exist :)

As for a couple of other items -

Black holes do or don't have size, depending upon what you are talking about. The "event horizon", the volume from which light cannot escape, has a definite size. The singularity at the center, however, does not have size in the conventional sense.

An object may be able to move faster than lightspeed within the Schwartzchilde Radius, but the point is rather moot. The Universe at large recieves no information about what is going on inside the black hole. If it does move faster than light, we'd never hear about it. Tree falling in a forest when nobody can hear it, and all that....
 

One thing to consider about i: The discoverers were NOT looking for solutions to x^2+1=0. They were looking for solutions to x^3+a*x+b=0, in cases where there's a real solution, and two imaginary solutions.

Would it make it any easier to know that i^i is not only defined, but if I recall correctly, it's a real number? :p

They were looking for solutions to x^3+a*x+b=0 with three real solutions. There are formulae for solving these equations, but in certain cases it requires taking the root of a negative number. In those cases the formula failed, yet it was known that there were real solutions.

So some guy just kept churning thru the computations, but left this little placeholder (i) where the negative roots were, until they cancelled each other out later in the computations.

PS

p.s.- I think the italic i inside parentheses is the weirdest looking construction...
 

You know, it would be an interesting day if we came to learn that the core concepts and ideas of physics we cling to end up being wrong and that the universe really isn't logical or rational at all...with Cthulhu and the Elder Gods out there waiting on us. ;)
 

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