Whenever you make a decision, you are only aware of the outcome of the one choice you make. It's been theorized that there's also a split where you make the other choice, and followed through by the other "you". Sliders is based on alternate realities, though it's a bit simplistic to think we'd all be trapped in the same reality. Of the infinite combinations and possibilities, it is theoretically possible to have two separate realities where all but one person is the same.
How does this affect time travel, you ask? Well, not only do you have to zero in on the correct alternate plane in which you want to make an impact, entering into that plane also creates a divergence where you are there and where you are not. I wonder what it would be like if a time traveler actually entered THIS particular reality. There are so many others to choose from, all based on what events may or may not have transpired.
To think that time itself is linear is incorrect, it is more like a mesh, where each decision kind of branches out, and there may be decision clusters, or decision cascades. You could very well go back in time and find Hitler never came to power, or that the United States is part of the Commonwealth and/or the UK's largest colony, by which it wouldn't be called the United States in that instance. The mere fact that we can dream up alternate outcomes to war means there is a reality out there where it actually did happen.
I just find it hilarious that time travel covered in TV and movies is so simplistic as to only have a single timeline that can be "fixed". This is not the case. With so many variants, it's easy to have huge divergences, and once you leave, you can almost never go back to the exact same time-strand which you left. Some relatives may be dead, or may have avoided death. Relationships may have been affected, etc. It may be cool to go back in time, but if you think about it, even THOSE possibilities have been covered, accounted for, cataloged, saved, are being experienced and even causing havoc in some instances, all on different timelines as we speak.
Time travel IS possible, in another timeline.