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> kicked off the industrial revolution early.

Short answer: no. Longer answer: read https://acoup.blog/2022/08/26/collections-why-no-roman-indus... (which covers it better than I could, from an actual historian).

I meant technologically not economically.

Technologically, probably not. The first invention of the Industrial Revolution isn't a steam engine, it's the flying shuttle, and the Romans are using far more primitive looms than 18th century Europe is, and I'm not sure their looms could have taken advantage of the flying shuttle.

Maybe the Romans invented both of those but just didn't tell you.

First, they’d need spinning wheels. Even with the primitive looms the Romans were using, far more labor went into producing the yarn (processing flax, cleaning wool, spinning with hand spindles)

The Antikythera mechanism was likely within Archimedes' lifetime or not long after his death, so he certainly knew what gears were.

He might have a "cameo". At some point I will need the Romans to make screws and nuts!