"Roman Catholicism is a worldwide religious tradition of some 1.1 billion members. It traces its history to Jesus of Nazareth, an itinerant preacher in the area around Jerusalem during the period of Roman occupation, in the early 30s of the Common Era. Its members congregate in a communion of churches headed by bishops, whose role originated with the disciples of Jesus. Over a period of some decades after Jesus' life, death, and resurrection, the bishops spread out across the world to form a "universal" (Greek, katholikos) church, with the bishop of Rome (traced to the apostle Peter) holding primacy. Today Vatican City — and specifically, Saint Peter's Basilica — stands over the grave of Peter, and the pope is considered Peter's successor. Catholic Christianity began as a persecuted religious community, illegal in the Roman Empire in its earliest days, but within some three hundred years and with the conversion of the Emperor Constantine, it became legal and eventually was recognized as the official religion of the Empire. With the decline and fall of Rome in the 5th century, the Roman Church assumed both temporal and spiritual authority in the West; it thus had enormous influence on the development of the art and culture of the western world through the Middle Ages. Today, its growth is fastest in Africa, South America, and Asia."
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If millennia do not correspond to anything ancient, then I don't know what does. And even if your 11th century claim was true, Rome 1000 CE is pretty ancient compared to Rome 2014 CE.
And clearly, ROMAN Catholicism was founded in Alaska circa 7039 CE.
It was only in 11th century that Rome became the capital of the Catholic religion. Until then in some cases Christianity was actually persecuted (especially in the Germanic regions of Europe). So no, Catholicism doesn't have anything to do with Ancient Rome at all, period. Don't confuse Constantine legalizing Christianity with Catholicism.