How can your mind, or anything else for that matter, work faster or slower without time? There can be no speed or acceleration without time. Without time everything is still. I would say "eternally still," but it's not really eternity when it is just a single moment. Without time there will only ever be one moment.
On the time dilation page you might want to scroll down to the heading entitled "experimental confirmation". We're hardly dealing with what time "seems" like when two identical synchronised atomic clocks emerge from their respective journeys telling different times.
Long ago we came to the point in science where the world stopped making sense. Common sense is worthless on the front lines of science these days. And why should the universe make sense to us? We only ever needed to think in terms of very slow speeds and scales perfectly between the very small and very large, the middleworld where classical physics is applicable. But at the extremes the universe behaves very differently, in a way that we never had to deal with in our evolutionary history. It's made and it's insane. We can observe what happens when a particle meets itself coming the other way, because they can do that. And it doesn't matter how irritating, annoying or confusing it is, we just do the maths and they predict our experiments and observations correctly, to an obscene degree of accuracy.
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