One could also make the argument that we are the continuation of the British Empire.
Oh, so if Exxon closes a service station in my town, and then Amoco opens one, Amoco is the new Exxon in my town? And you call my logic faulty?
Given that "Empire" implies "central authority," just because that "authority" has been lost does not necessarily mean that the empire itself has--of a sudden--ceased to exist.
Who said "of a sudden?" It was rather sudden in the East, but the West
gradually collapsed. However, there was a point when the Roman empire in the West ceased to exist. Naturally, a power vacuum resulted, but that was not filled by another empire for quite some time to come.
I maintain that the culture is the empire and that it is so defined.
Oh, so this is the source of your error.
Your conclusion--"You will not be able to support your theory, therefore, that the Roman Empire never fell" is a non sequitor and your logic is flawed. Wasn't Charles the Greats domain known as The Holy Roman Empire?
I assume that the last sentence is the one which presumes to prove my assertion a nonsequitur and my logic faulty? Well, let me quickly dispose of it then. Charlemagne's empire was
called, by the Roman Catholic Church, the Holy Roman Empire in an effort to ensconce itself as its religious head, and to use it's power to its own benefit. Charlemagn was more than happy to accept this designation, as he also benefited by it. You are not seriously suggesting, I hope, that merely because something takes the name of something else that it therefore
becomes said thing, are you? If so, from henceforth, my name is Gaius Octavius ... that's Caesar Augustus to you. Bow to me, and send me tribute in the equivalent of ten thousand denari by the end of the month, and every month from this day forth, and I shall be lenient with you.