Roman administration is far ahead of its time. They already have a 19th century Prussian military staff in the 1600s. But B444 stated that Rome will not be the first to industrialize.One thing I'm wondering is, how does Rhomania avoid falling behind their western rivals? IOTL, it happened to the Ottomans, I'm wondering how Rhomania avoids it, though the Ottomans' stagnation had a lot of factors, and even by the late 17th century, during the Great Turkish War, they were still a formidable force and put up a great fight considering they were fighting a war a multi front war with them getting assailed o almost every angle.
Physics, administration I expect Romans will always have the lead. European Printing Press in TTL started in Trebizond not in Germany.
The Ottomans, besides Anatolia population stagnation similar to TTL Romans, in OTL were mostly agriculture country compared to Romans were urbanized/manufacturing/trade focused. The Romans also got a very high literacy rate compared to the OTL Ottomans.
B444 I believe stated that TTL Romans will have the OTL British financial acumen and OTL German administrative efficiency.