Suggestion:
It is physically impossible to travel faster than the speed of light, it's not even that atomic bonds rip apart or anything like that, it just can't happen period. The speed of light is the upper limit to how fast anything can travel, and only things that have zero mass (like photons of light) can travel at the speed of light. There are some other particles that also have zero mass, like Gluons and W and Z bosons, which also travel at the speed of light.
Everything else has to travel less than it, and it would require an infinite amount of energy to accelerate an object with mass to the speed of light (the laws of physics show that its kinetic energy approaches infinity as it approaches the speed of light, unless it has zero mass). Massless particles like photons are the only objects that can travel at the speed of light. In fact, according to the laws of physics, they have no choice.
The foundation of these principles was developed by Einstein himself in his work on Special Relativity, which revolutionized modern physics, and has since been experimentally proven and observed. Even the seemingly science-fictiony idea of time traveling slower for objects moving at near light-speed has been proven to be true (note, this is not traveling FASTER than the speed of light). In fact, according to Special Relativity, time travels slower for ANY moving object as opposed to a stationary object, so an astronaut that travels very far away at near-light-speed and returns at near-light-speed will in fact find that Earth will have aged some years more than they have.
In fact, GPS systems have to make corrections to their calculations based on Special Relativity, taking into account their fast motion in orbit and the resulting time delay (there are also General Relativity corrections taking into account the effect of gravity on time as well, another of Einsteins brilliant discoveries). The only reason GPS systems are accurate to within a meter or so is because of these corrections, otherwise they would be severely less accurate.
In regards to tachyons, they are purely hypothetical at the moment, and there are lots of theoretical arguments against their existence. Physicists generally agree (there are always exceptions) that tachyons cannot exist, or that if they do they cannot interact with normal matter. You can read more about them on their wikipedia page. The same goes for Einstein's theories on Special and General Relativity, and general speed of light stuff, the pages are actually quite informative and accurate.
