You don't have to take my word for it, but...
Dear Paul and m3harri,
I wasn't entirely correct when I said that 33 TeV equals 33000 proton masses. The numbers figure out alright (since one proton comes in at 1000 MeV), but I was assuming that all mass could be converted to kinetic energy (just to keep it plain and simple, but it appears we have to go into more detail now
).
I want to set this straight by redoing a similar reasoning in a bit more detail:
a) The math:
First, let's do some math:
Now when particle physicists talk about "33 TeV" this means that within a beam of particles every particle has this energy on the average. Let's also assume that they can accelerate.. hrm..let's say a billion (10^9) of these particles to this energy (I don't know the finer details of particle accelerators, but just judging on my intuition I'd say that 10^9 particles is a lot at this energy). That would mean that the total (kinetic) energy of all particles is approximately:
52*10^(-7) Joules * 10^9 Particles = 5200 Joules.
b) The accident:
Imagine the worst possible scenario that could happen in a particle accelerator: this would probably be that the particles (going at 99,999999999999999999% of the speed of light) smash into something they shouldn't hit in the first place. Assuming, and this will almost certainly not happen, that ALL kinetic energy of the particles gets converted to heat (which is probably the most hazardous form of energy) this would mean that about 5200 Joules of heat is released in this horrible accident.
Let's compare this to the energy of a small nuclear device: I just happened to stumble across this page at NASA,
http://www.ksc.nasa.gov/facts/faq04.html, where they state that the energy released by a 1 megaton nuclear device is about 10^15 Joules of energy. Comparing this to the measly 5200 Joules of the particle beam I'd say we're at no risk at all.
Compared to a supernova - which I think is just a bit more powerful than a 1 Megaton nuclear device - the particles' energy is peanuts. Hence I would logically conclude that these kind of experiments pose no danger at all.
You could argue that there is another possible hazard: at these high energies, new particles are created upon collision (which is after all why scientists conduct these kind of experiments). Perhaps those particles are dangerous ? Well, I'd like to use the argument of "numbers" here: even if they are dangerous, there are just too few particles created in the accident to pose any danger. You should know that while you are reading this, your body is bombarded by billions of exotic particles from outer space every second (the so-called cosmic radiation). These cosmic ray particles are the very same particles that are created with accelerators, so even if something goes wrong during the experiment, it wouldn't matter anyway (the immediate environment would get the 10-fold dose of cosmic radiation during 1/1000 of a second or so), which is hardly dangerous (the chemical plant in your backyard exhausts a lot more dangerous stuff
).
c) Ethical arguments:
Furthermore, I would like to add that no sane scientist would even think about starting an experiment that could wipe out... ehr... everything in a 50 lightyear radius. I can assure you that the scientists at Fermilab are very sane
. To do this kind of experiments, you need like 100 or 200 people (if not more) and I can hardly imagine that they all agree on taking such risks.
I noticed Paul was talking about the beginning of the universe, and I think that this is where the confusion arised: you can indeed find in textbooks that at about 10^(-12) seconds after the Big Bang, energies where around 1 TeV, and this corresponds to temperatures of 10^16 Kelvin (which is about 10^15 degrees Fahrenheit). This seems like an awful lot, but you have to remember that for a person to feel these kind of temperatures, billions and billions of particles have to have this energy. That would mean that you would need total energies that are far beyond the capacity of human devices. Besides, I don't think that even if all of the mass on earth is converted to pure energy, that we could get to the energy levels of supernovae (I mean: that is an exploding star we're talking about, compared to a star the earth's mass is approximately 1/1000000 of it).
Bye!
Crisp