Kind of the opposite of what you're asking for, but you might enjoy an earnest exploration of why it didn't happen: https://acoup.blog/2022/08/26/collections-why-no-roman-indus...

Cool

One important thing that I feel this article left out was how technological innovation was driven by military endeavors. From antiquity to Europe getting comfortable with gun powder was a very long time. Prior to gun powder, the focus was on siege warfare - how to destroy walled defenses in a timely fashion before supply chains before untenable. With the rise of gunpowder, innovation followed. Alot of industrial success came out of America, and with a giant ocean between itself and any potential invaders, they were able to focus that innovation for industry as opposed to militarily.

That isn’t left out - everything rested on the three centuries European countries had spent perfecting the cannon.

You do realise that "america" didn't happen for more than a thousand of years since the roman empire right?

The Byzantine empire fell in 1453 and you can argue that the Vatican maintained some institutional power of western Europe through the middle ages

Told in Stone has a good video series on this too.

https://youtu.be/5uqPlOAH85o

Sometime ago I stumbled upon Kingdom of the Wicked by Helen Dale. Haven't read it myself though.

Stretching it a little bit, but: "Ultima" from Stephen Baxter. But you should read "Proxima" first to understand the context.

If you think of the West/US as the inheritor of the Roman Empire, they technically did !!

Why would I think that?

This has been the #1 meme of Western Europe since Clovis

Lest Darkness Fall by L. Sprague de Camp would be a classic answer (though it is also scifi so maybe not quite what you are asking for).