Well, it was a conquest, from different peoples, with different civilization, and different religion, and different laws and government structures.
That's pretty much the definition of the end of an empire.
>If you were a Greek living in the Byzantine Empire – or as they described themselves, a Roman living in the Roman Empire – the Ottomans were just the new Roman Emperors.
Not really. There are countless laments for the fall of the empire from the "Greeks living in the Byzantine Empire" at the era, all the way from folk sayings and stories, to scholars, and tons of insurrection against the invaders after the fall of Constantinople.
This idea of the "random masses" that have no sense of belonging and identity, and just change a rule after a different people conquer their lands and impose their rule is dehumanizing and ludicrous, doubly so for an empire and a civilization that last for a millenium...
Except that the Greek-speaking part was as Roman as the Latin-speaking part in culture, heritage, bureaucracy, governance, and self-identity. The later Western European historians' designation of the East as "Byzantine" (read: not "real" Romans) is much motivated by the West Europe's desire to see themselves as intellectual descendants of the Roman Empire (n.b. Italian Renaissance and Classicism).
Not that much. It was roman in leadership and had the roman legal structures, but it was always the area of prior Greece and the Hellenistic kindgoms, which had millenia of history and culture all of its own (to the point of the Roman's saying that when they conquered it millitarily, it conquered them culturally).
Completing the conquest of the Mediterranean basin and being left bordering only states against whom the Romans never had any particular success, the Sahara, (Parthians/Sassanids) or holding the line against rotating groups of peoples pushed further west in the Balkans and Germania left the Roman state without obvious paths to expansion. That does not mean that Hellenistic states "conquered them culturally".
If you think the West was some unified area with "Latin-speaking" culture, heritage, bureaucracy, and self-identity, you'd need to write a thesis-length paper justifying it no matter what century. Even the Italian peninsula was none of those things until long after the establishment of the Principate, at which point wealth had already precluded the existence of men like Cincinnatus.
If the classical Roman citizen weren't horrified at the organizational changes under Diocletian, or the difference in response between Adrianopole and Cannae, or moving the Imperial seat, or Romanized barbarians leading legionary armies (all of which were 100+ years before the fall of the west), they'd keep going.
The fact that the population in the East spoke Greek (and Syraic, and Aramaic, and a bunch of other languages) is a meaningless distinction. The West never truly had a formalized language anyway, at least among the citizens. The East had the same history, the same institutions, the same government
I think the fact that they conquered Byzantium is perceived more as legitimizing their rule, since the Romans at that point were weak enough to fall. In any case, it's more symbolic than anything, because the Ottomans had already taken most of the important stuff before and really just needed the city for the straight.
But the city was called Constantinople. Istanbul in Greek phonetics means "We are in the city” and was renamed after the capture. It is Ottoman, not part of the Byzantine tradition but Ottomans promoted a continuity narrative without any of the preexisting thousand year old Greek Christian traditions. Those populations had to be forcibly removed or changed faith up until the 1950’s.
From what I’ve read the bureaucracy was entirely replaced by the Sultan’s court. Daily life might not have changed much for the Roman in the street, but the Res Publica was gone for good.
If you were a Greek living in the Byzantine Empire – or as they described themselves, a Roman living in the Roman Empire – the Ottomans were just the new Roman Emperors. The Roman bureaucracy, civil institutions, and daily life changed very little.
People don't normally acknowledge it because both the Holy Roman Empire and the Russian Empire wanted to be recognised as successors to the Roman Empire, but the truth is that the Ottomans were the real successors.
Some info on Wikipedia here: https://en.wikipedia.org/wiki/Ottoman_claim_to_Roman_success...