History could have HUGELY been rewritten on at least two or three occasions, when for most of recorded history the countries with the biggest populations held the most power - India and China of course, that were the richest powers for the past 3000 years, with the world's largest, most cosmopolitan cities, but being usurped in the past 150. This of course is being rebalanced, with India and China now rising back to top in our generation.
China had the opportunity for global domination back in the Dark ages (10th-11th century), which was then the golden age of the Song Dynasty, embarking on the first Industrial Revolution (a nationwide network of blast furnaces churning out standardisation and iron in amounts that wouldn't be bettered until Britain's Industrial Revolution in the mid 19th Century), coupled with numerous inventions such as the printing press and compass that disseminated information, plus the set up of a financial economy rather than an agrarian one. Cities grew huge, Xian, Nanjing, Kaifeng surpassing 1 million, Hangzhou to 2 million.
Of course the Mongolians laid waste to all that (killing so many millions the carbon in the atmosphere fell), then climate change.
China's second opportunity was in 1405, when it launched its vast fleets against Indian domination, in the world's largest pre-industrial ships (verified at up to 600ft long after the British discovery in 2015 of the Longjiang shipyards, showing they were seaworthy being lined with concrete hulls), some of the world's largest 'cities' manned by 23,000 sailors, that set up vassal states and trading colonies across the Pacific and Indian Oceans. From Africa to Australia to Antarctica (and according to discredited historian, Gavin Menzies, North America, due to Chinese DNA and artefacts found there, but denied by Chinese Naval History Museum - as to discover somewhere you have to come back).
However 50 years later (just when the Portuguese first started to sail), the vast fleets were burned as once again, the Mongols threatened and China turned isolationist, diverting its funds into defence, and making it a capital punishment to go to sea in any ship.
The third opportunity was of course gunpowder, long used for millennia as weaponry. In fact the world's first modern warfare played out in the Mongol-Chinese attempted invasions of Japan in 1274, with up to 140,000 troops on 4,400 ships, complete with destroyers and galleons bristling with cannons, the first guns (fire-lances), torpedoes, missiles, mines, bombs, rocket launchers and grenades. However when they ran into the seasonal typhoons (aka kamikaze - divine wind), it became the worlds largest ship graveyard.
By the 1500s Japan had inherited the world's most advanced weaponry, having conquested Korea with them too.
However society (as in China) had become so unruly and dangerous with gunpowder they made the decision to bury the technology arms race, and revert back to the art of the samurai blade, embarking on the following 300 years of isolationism and feudalism, despite holding the world's largest cities. Likewise China went to become the Ming Dynasty, a revertion in the arms race but a flowering of the arts and culture.
In short Asia could have dominated (not to mention the Mongols sparing Western Europe in 1241 after turning back from Vienna, following the death of the Great Khan Genghis back in Mongolia.)