Sorry, it is not true
Once the time machine is invented and used, the world will collaspe.
i.e. doomsday
First it is impossible to go back to past, for the time of the matters are different. There is no standardized and unified time for all matters. Also it is not possible to attain a speed of -c (speed of light)
Secondly, it is POSSIBLE to go to the future. But you may need to go through worm hole. Worm hole needs a huge amount of energy to stabilize. The energy, either used to stable or released by the stabilized wormhole, will cause the dark energy to proliferate. i.e. big freeze