that makes the house of Osman related to the Byzantine Royal Family. that alone makes the ottoman empire pretty much an Islamic version of Byzantium. ( i hear mehmed two kept the Byzantine administration more or less intact)
Not really, there were stark differences though Mehmed originally kept the administration in place it was swiftly altered. For one thing i don't believe the Byzantines used a Devesherme esqu ploy to grow both their hardened battle corps but also the administrative block in the Topkapi palace