Pre-Columbian era
The earliest known civilization is the Olmec. This civilization established the cultural blueprint by which all succeeding indigenous civilizations would follow in Mexico. Pre-Olmec civilization began with the production of pottery in abundance, around 2300 BCE in the Grijalva River delta. Between 1600 and 1500 BCE, the Olmec civilization had begun, with the consolidation of power at their capital, a site today known as San Lorenzo Tenochtitlán near the coast in southeast Veracruz. The Olmec influence extended across Mexico, into Central America, and along the Gulf of Mexico. They transformed many peoples' thinking toward a new way of government, pyramid-temples, writing, astronomy, art, mathematics, economics, and religion. Their achievements paved the way for the Maya civilization and the civilizations in central Mexico.
Mu (lost continent)
There is evidence that the civilizations of the Americas and the Old World developed independently of each other and, in fact, agriculture and urban societies probably first developed after the end of the Ice Age, somewhere in the Levant some 10,000 years ago and gradually spread outwards from there to the rest of the Old World. The development of the oldest known cities, such as Çatalhöyük, can more easily be attributed to local and gradual evolution than to the coming of refugees from a "superior civilization".