I think you misunderstood. The article discusses a scientific observation of a pulse of light emerging from gas before it even entered. To simulate this observation, scientists created a chamber to further analyse/test their findings and discovered that the pulse of light was theoretically moving at 300 times the speed of light. The above user was simply claiming that if these observations where solidified and this field of research progressed further, we could at one point reach a point where we could send simple messages back in time.
To sum up the observation in the article: Einstein's research theorizes that nothing physical in the universe can be faster than the speed of light, and doing so would mean to be traveling back in time. Since this is assuming that light is the upper barrier of speed in this universe, to exceed it would mean you would have to be traveling back in time to do so.
This article is written about low level observations and only speculating upon possibilities. Moreover, the article was written in 2000, so I imagine it has not gained much traction in development since we would of heard more about it. You are correct in that actual time travel does not exist, however the above use was not claiming that it did.
Finally, it is in my belief that if at any point in time we do invent a form of time travel, it won't be to the past based upon Einsteins theories. If there is any potential for time travel, it will be to the future due to research in the theory of relativity and time space being more of a curved surface than a linear line. With the recent discoveries of black holes further providing proof into Einstein's theories, who knows where the future will take us in this field of research!(no pun intended)