Oh-My-God particle
en.wikipedia.org
en.wikipedia.org
The reason it's called the Oh-My-God particle is because it kind of smashed through the GZK limit ( http://en.wikipedia.org/wiki/Greisen%E2%80%93Zatsepin%E2%80%... )
There's a few particles near this energy hitting the earth every day, the flux is just very, very low. This is why the follow up experiments to HiRes and AGASA, the Auger and Telescope Array experiments, are very, very large.
Most research has started to gravitate towards the lower energy cosmic rays, near 10^17 eV.
I can talk more about this but I got to go for now.
Experiments involved in UHECR research:
http://en.wikipedia.org/wiki/Telescope_Array_Project
http://en.wikipedia.org/wiki/High_Resolution_Fly%27s_Eye_Cos...
http://en.wikipedia.org/wiki/Pierre_Auger_Observatory
http://en.wikipedia.org/wiki/Akeno_Giant_Air_Shower_Array
Fun facts about Dugway, home of Fly's Eye and HiRes:
Some jets at Dugway once bombed a prototype detector.
One of the HiRes detectors was just past some German Village buildings, which was a mock-up of a German village in the Utah desert used for weapons research in WWII.
please do...
Either it will. Or it won't.
The best part is around 3:00 in. http://thedailyshow.cc.com/videos/hzqmb9/large-hadron-collid...
One way that the LHC collisions differ from cosmic ray impacts is that the center of mass velocity is much lower. If high energy collisions created small black holes, cosmic rays could make ones that simply zip past at escape velocity (because (lots+0)/2 is still lots) while the LHC ones are captured (because (lots+-lots)/2 can be tiny).
The same logic applies to the argument that any black-holes or otherwise dangerous particles would simply zip by the Earth (stated in a sibling comment to yours). Particles of slightly lower momenta come in higher numbers, so these would produce the dangerous particle, but not retain enough momentum to escape. Since the Earth has not been destroyed, there are no particles produced at low enough energies for us to destroy ourselves.
See, for example: http://www2.astro.psu.edu/users/nnp/cr.html.
http://phys.org/news/2011-06-oh-my-god-particles.html
"They propose that extragalactic cosmic rays are spun up in supermassive black hole accretion disks, which are the basis of active galactic nuclei. Furthermore, they estimate that nearly all extragalactic cosmic rays that reach Earth come from Centaurus A. So, no huge mystery – indeed a rich area for further research. Particles from an active supermassive black hole accretion disk in another galaxy are being delivered to our doorstep."
There are candidates for what would give rise to such a particle, but observations are sparse so we haven't had much chance to test any theories.
EDIT: calculation error
They state that the particle differs from light by 1 cm every 220,000 years. Considering the age of the universe is about 14 billion years, that works out to 63636 cm. It takes light 2210 nanoseconds to cover that distance.
https://www.wolframalpha.com/input/?i=light+over+%2814+billi...
"It’s difficult to determine their exact source as the magnetic fields of the galaxy and the solar system alter their trajectories so that they end up having a uniform distribution in the sky – as though they come from everywhere."
That seems like the more interesting point not touched by the article.
Probably wouldn't notice a thing. You're mostly empty space (on a subatomic level), odds are it wouldn't hit anything, and would just release no more energy than getting hit by a baseball if it did. Sure it's a stunning amount of energy for such a small object, but not much on a human scale. Compare getting hit with a bullet: penetration is damaging only because of what it tears up in the process, when the energy involved (demonstrated by getting shot while wearing a bulletproof vest) is little more than a solid kick. A "hole" of subatomic width doesn't do much damage.
As you note, odds of it interacting with some bit of you are relatively low. I disagree with your baseball comparison, as the result of the collision would be a cascade of secondary particles. Each of which would likely have only a small chance of interacting with yet another bit of you before exiting your body.
The net result would be something like firing a cannonball (or bullet) at a series of bead curtains. Most of the time, the bullet would miss. Occasionally it might strike one or more beads. Those then would also mostly miss the other beads within the curtain, though some might strike and cause secondary effects. Most of the energy would simply transit the curtain system as a whole. Or maybe even at sheets of laced (punched-out) tissue paper. The target simply doesn't have the capability to absorb the energy of the particle.
A more accurate answer would require some subatomic particle modeling, past my pay grade.
Similarly, if you drop a hard drive on carpet it's probably okay, but if you drop it on concrete, you're likely to have damaged it and even deformed the case, even though in both cases the total energy to stop the drive is the same.
http://boingboing.net/2011/02/22/what-happens-when-yo-6.html
"The radiation absorbed by his head was in the region of 1000 gray. 5 gray worth of X-rays is generally considered fatal, but Bugorski survived and went on to complete his PhD (a proton beam moving near the speed of light has different characteristics from an X-ray!). The side of his face that was burned by the beam's exit has not visibly aged in the years since the accident. "
Note that such a beam contains millions (or a few orders of magnitude more?) of protons. I can't say whether millions of protons with a millionth of the energy as this particle do more or less damage.
Wolfram Alpha also gives the helpful comparison "0.06 times the mechanical work done pressing a key on a keyboard" so if that helps?
http://www.wolframalpha.com/input/?i=7.5%C3%9710%5E14+eV+to+...
Deleted comment
http://en.wikipedia.org/wiki/Anatoli_Bugorski
He put is head in a proton beam of a particle accelerator and survived. It wasn't pretty but he got hit by a lot more than one proton.
This principle is how some radiation therapies work to treat cancer. Because the stopping power curve for protons is well understood, a proton beam can be tuned to deposit all of its energy is a fairly small area.
Aside/Rant: this question clearly can be answered by someone with expertise in the field. So why did people feel the need to speculate about it instead of just waiting for someone who knows how to answer it?