She rummaged through her stuff and pulled out a white board and a pen. She wrote on the board in Japanese and pointed to each of the things she wrote as she spoke. One said faster, one said equal and one said slower.
"The way I see it, there are three possibilities. Time in your world is moving faster than time here, in which case you've already been here long enough to worry people." She found a pointer and smacked the middle option. "Time moves the same in which case, yes, moving faster is idea." Then the third. "Or time moves slower there and you could spend all day here and not be missed there." She considered. "There are the extremes then, on the faster side, years could have already passed or more. On the slower side, the effect could be as if time has paused there. I can look it up opf course, but the calculations to do that are more than half the calculations to get you home, so we wouldn't really know soon enough to make any notable difference. And even if time moves the same, that is a one in three chance even of things were even thirds, that how long you stay here matters to your friends and family back home, in a practical way."
She then drew a long line from one end of the board to the other and drew a dot in the center. "The thing is though, it isn't a 33.3% chance because it isn't three options. The times being synchronous is a single point on the line. Off by even a second either way is to one of the sides. On the time moves slower there than here scale, we have a range from time being stopped there to time being a fraction of a millisecond slower there than here. Depending on how fine you want to get you can actually calculate all the total number of possibilities in about a minute to a minute and a half but that doesn't get us any closer to actually knowing where on the scale it falls, even of we knew it was this side. So for functional purposes the scale is practically infinite."
She tapped on the other side of the dot. "On this side, we have a scale that starts at a fraction of a millisecond faster than time here, however there is no end cap for the extreme end as we do not know the finite life span of your plane. So while the other was practically infinite on a functional level, this side is potentially infinite. In all that,. the chance that time is moving at a 1:1 ratio is so minimal that it doesn't much bear worrying about!" she gave him a bright smile. That was... oddly her version of a pep talk to cheer him up.
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"The way I see it, there are three possibilities. Time in your world is moving faster than time here, in which case you've already been here long enough to worry people." She found a pointer and smacked the middle option. "Time moves the same in which case, yes, moving faster is idea." Then the third. "Or time moves slower there and you could spend all day here and not be missed there." She considered. "There are the extremes then, on the faster side, years could have already passed or more. On the slower side, the effect could be as if time has paused there. I can look it up opf course, but the calculations to do that are more than half the calculations to get you home, so we wouldn't really know soon enough to make any notable difference. And even if time moves the same, that is a one in three chance even of things were even thirds, that how long you stay here matters to your friends and family back home, in a practical way."
She then drew a long line from one end of the board to the other and drew a dot in the center. "The thing is though, it isn't a 33.3% chance because it isn't three options. The times being synchronous is a single point on the line. Off by even a second either way is to one of the sides. On the time moves slower there than here scale, we have a range from time being stopped there to time being a fraction of a millisecond slower there than here. Depending on how fine you want to get you can actually calculate all the total number of possibilities in about a minute to a minute and a half but that doesn't get us any closer to actually knowing where on the scale it falls, even of we knew it was this side. So for functional purposes the scale is practically infinite."
She tapped on the other side of the dot. "On this side, we have a scale that starts at a fraction of a millisecond faster than time here, however there is no end cap for the extreme end as we do not know the finite life span of your plane. So while the other was practically infinite on a functional level, this side is potentially infinite. In all that,. the chance that time is moving at a 1:1 ratio is so minimal that it doesn't much bear worrying about!" she gave him a bright smile. That was... oddly her version of a pep talk to cheer him up.