Jing Yi tries to use his time left to his own devices Productively. Achieving things. He successfully microwaves his first meal. He walks a loop around the apartment several times. He opens Google, tries to think of something Useful to Google, like 'Spider-man' or 'what is corn and where did it come from,' before giving in and researching something he would rather not look into, even though he has to.
It's been two days since he fell out of a window and into the future. It is too soon to consider it hopeless to go home. But.
He has no idea how he got here.
He has to be realistic about his chances of getting back.
Of ever seeing his family and friends again. And... even if he gets back, it doesn't change that for now, they have been dead for several centuries.
He has been avoiding the maths, and the maths has caught up. It has been thirteen centuries between where he was and where he is now.
He looks up Great Tang on Wikipedia, because surely it would be there. (And maybe he shouldn't look into his own hypothetical future, if he gets back, but haha, no, he is taking whatever information he can get.) The article is there. The article manages to be depressing in the first few paragraphs.
Apparently he worked for the last competent Emperor. Apparently in a few short decades, there will be a rebellion that would send everything spiralling into decline. Apparently he lived at the high point, just before the tumbling fall. Apparently Chang'an, his home city, the greatest city in the world with the best restaurants even if they do keep turning out to be run by murderers, fell. (The rebellion left 36 million dead at the highest estimate, but even the lower estimates are. Not Great.)
He listlessly does the maths on how likely his friends and family were to survive. He can try and comfort himself with the fact that the Jing family lands on its feet, that it went through rebellions and regime changes and survived. His friends are competent and savvy and would hopefully have the good sense to run. But that's also possibly unbridled optimism.
...and they're all dead anyway.
He does ineffectual Google searches for them, to see if there is any scrap of documentation about any of them. He is looking for obscure people from thirteen centuries ago. It doesn't go well. (He keeps getting modern day actors, and he is sure they are lovely people but they are not who he is looking for.)
He goes to listlessly watching old Spider-man movies, on account of that being the only videos he really knows the existence of. Staring blankly at explosions and people in brightly coloured costumes is less depressing than Wikipedia.
(He definitely does not calculate how long it is till the one adult he knows is no longer working-- work caused by his own existance. He doesn't calculate whether to ask something cheery like 'how does one turn being from the past into a career' or what he really wants to know like 'how good are forecasters at predicting the past, can they predict how someone died?' Because that is just a little bit too depressing.)