While originally many scientists supported the Many-Worlds Interpretation, it was discovered that alternate timelines cannot physically exist. There is only one timeline, and it CAN be altered. That is why time travel is dangerous. However, it is also inevitable.
Paradoxes, however, do not traditionally exist. Time Loops do not exist either, unless a pilot repeatedly returns to the same moment in time of their own will. Time Travelling to the same moment results in the destruction of the physical matter occupying the space of the chosen time, as it is forcefully dispersed during the Time Landing. The destroyed matter is simply broken down into it's base elements. It is still possible to meet yourself if you travel to the same time in a different region of space. This is because space and time are bound together by a force most easily compared to quantum entanglement. What happens to space happens to time, and vice versa. It is also possible to kill your Grandfather, yourself, or whatever family member you choose. It will not erase your existence, because once the human body has time travelled, the universe has already cemented your existence in the new region of time. If, however, you returned to your future after doing so, nobody would know you. There would be no record of you, but you would still exist. There is no such thing as Fate, and in 4283 nobody openly believes in religion. Everyone left contributes to the growth of humanity through science. Before I left, I was even informed that soon a machine sturdy enough to observe the Big Bang would be completed and ready for full-scale testing. Currently, we believe that the Big Bang was the implosion of a primordial supermassive black hole that could have been larger than the Lanikea Supercluster. Furthermore, it is believed that there was more than one "Big Bang". It would explain why many regions of space seem to expand faster or slower than others, likely due to the size or strength of the exploding black hole in that region. In this time you call them "White Holes" but they are believed to emit several different colors of light due to other forms of electromagnetic radiation being consumed throughout time as well. I wish that I could return to participate in the mission, but I believe I will be spending the next several decades in this time in order to observe and document events.