I've read all about different scenarios, and I've speculated on some myself, of what would happen if Rome survived; most timelines are set between the 400s and 1400s, and very few go beyond that. Most deal with the dark ages.
If Rome had survived well into contemporary times, existing much like Imperial China did centuries after Rome fell in real life, how do you think society and the world around would be shaped? When would an industrial revolution happen? What would contemporary times look like?