Thanks, joseff, for your support. I had no idea Eta Carina explosion will be so violent. You've probably have heard also about
gamma bursts. It's the same idea.
Tom wrote:So there is no possible way of producing enough energy to move an object at the speed of light? Is this a fact or a probability?
Well, "Scotty", maybe you'll like to read this, if your workload allows you. I wrote an article on "The engineering of interstellar travel" in spanish. Here is the sum up:
As everybody knows, the closest star is Proxima Centauri. It's close to Alpha Centauri, also known as Rigel Kent. I can see it from my backyard in clear nights, tempting me
(I live almost at the Equator, so I can see the entire sky).
Rigel is at 3.6 light-years. That's something like 34 millions of millions of kilometers, or 34.100.000'000.000 km.
So, what kind of engine do we need to travel there?
First, this is a miserable distance compared with the size of our Universe. Scotty and Kirk traveled, in the famous Enterprise, only in our galaxy, which is roughly 20.000 times the size of a travel to Rigel. In "Star Trek" they never traveled to other galaxies (that I know), but the visible Universe is roughly 250.000 times larger than our galaxy. I said that only to post this photo, that I love: a picture of the Universe.
Hubble Deep Field photo. Every speck of light in it is a whole galaxy (except for the lonely blue-withish star, left from center, which is in our own galaxy)
Compared with those distances, the moon and the Earth are one. This is another photo I love: the Earth and Moon together, taken by Voyager.
Earth and Moon in the same frame: Voyager, 1974. They are really close.
So, let's put some numbers behind the travel to Rigel. First, some of you may know that:
Kinetic energy: mass x velocity squared / 2
Potency : Energy / time
Let's assume we want to travel at half the speed of light: 150.000 km/second. It's not 150.000 km per hour, but per second. That's like five hundred thousand times faster than Juan Pablo Montoya. The puny 750 hundred HP of an F1 are not good even for a start.
At that speed, the kinetic energy formula is affected by relativistic effects. The corrected formula is simple:
Kinetic energy = change in mass x light speed squared
Some can ask how the mass can change. It's not like our ship gets bigger, simply it's harder to accelerate. If a piece of our ship weighs 1 kilo, at half the speed of light its mass is:
M = 1 kg /(1-(150.000 km/seg/300.000 km/seg)^2)^1/2
M = 1,154 kg
Every kilo of the ship weighs 154 grams more. So the energy of that kilo is:
Kinetic energy = 1,154 kg * 9.8 m/s2 * (300.000 km/seg)^2
Ke = 136.000.000.000.000.000 jules
That's a large number. Let's convert it to something that makes sense (somebody might not know what a jule is, btw). If we reach that speed in one year, the potency we need is:
Potency = 136.000.000.000.000.000 jules/ (86.400 sec / day x 365 days / year x 1 year)
Potency = 4.300 million watts
That's 4.300 Megawatts. Not much: that's like 4 times the potency of Colombia's larger hydroelectric dam, San Carlos. Of course, the dam weighs more than a kilo...
If we convert that potency to horsepower, we reach finally, something understandable:
6 million horsepower.
Remember, that's to accelerate one kilo in one year to half the speed of light.
Saturn V had 500.000 hp, so we "only" need 12 engines like that, of an ultralight alloy that makes them weigh only a kilo, and presto!
Now, Saturn V also weighed more than a kilo and it could not work for an entire year: more like a few minutes. Saturn V reached 11 km/sec and we need 150.000 km/sec.
I conclude chemical rockets are unusable for our proposed trip.
If we used antimatter, that's a different proposition: when matter and antimatter come together, they annihilate and transform themselves into pure energy.
How much antimatter do we need to push our ship to Rigel?
Following Einsten's know formula (E = mc2), if we put together one kilo of matter and antimatter together we get:
Energy from matter-antimatter anhilation: 1 kg * (300.000 km/sec)^2
Energy = 89.870.000.000.000.000 jules.
So, how much antimatter-matter do we need to use? Rounding...
Amount of antimatter – matter we need =
= 136.000.000.000.000.000 jules / 90.000.000.000.000.000 jules / kg - force
= 1.51 kg – force
= 0.154 kg
Not much. If our ship weighs, I don't know, 1.000 tons, we need "only" 250 kilos per day.
That could fit in a truck gasoline tank. Of course, antimatter has been produced on Earth, but much less than a gram.
At the end of a year we've converted only about 15% of the mass of our ship. We need another 15% to brake it when reaching Rigel (I would love to see Brembo taking THAT task!).
The problem here is that our vehicle is extremely expensive to operate. I pay 1.3 dollars per kilowatt at my home. Let's see:
Potency = 4.300 Megawatts = 4.300.000 kilowatts
Energy = 4.300.000 kilowatts x 365 days x 24 hours = 37.700 million kwatts-hour
Cost = 37.700 million kilowatts – hour x 1.3 dollars/kilowatt – hour
Cost = 49.000 million dollars
That's only for a kilo. We would spend the whole US army yearly budget to push 6 kilos to half the speed of light in one year.
My advice: if you see an alien, ask for money. (is the least they can do after the "probe" and those guys are rich!). Besides, now you understand why there are no fat aliens: every kilo cost a fortune to move among stars...
Second conclusion:
we need cheaper energy to travel to Rigel. A travel with our 1.000 tons ship would cost 49.000 billion (european billion, that is, a million of millions) dollars, that is 3.000.000 times what costed the entire Apolo project.
Now, we have the thermodinamic laws problem: 100% energy efficiency is not in the engineer budget. If we only have 30% efficiency in impulsion, we couldn't even brake when we finish our journey!
So, the ony rational solution is to "catch" matter on the way. There are some proposals for ships that can take gas from the very tenous clouds in the way.
I won't bore the few readers (thank, guys) that have reached this point with more calculations, but if everything goes as planned, our trip would take 8 years.
Those who have followed the longest post in the history of the forum, could have realized that the increase in mass per kilo is 154 grams, and that the amount of matter-antimatter we need to accelerate it is the same: 154 grams.
Third and last conclusion:
to reach the speed of light we need to convert the whole ship into energy! That's a beautiful (for me) simmetry between the speed of light and light itself. To reach the speed of light we need to transform our whole ship into... light.
So, to reach the speed of light, we can't use rockets: we must convert ourselves into energy.
Remember the transportation chamber in the Enterprise? That's the most fantastic thing in that ship, not its dilithium engines, because that's what the teletransporter did. That's (for me) the Holy Grial of transportation engineering...
The small defect of this system is that it requires almost infinite energy, but, hey, are we going to dismay by that? So, now you can understand why the damn teletransporter failed so many times: it was the fuses...