That the universe is consistent.
That doesn't require a Christian worldview. Given that Christianity
requires miraculous events to have occurred - which are conventionally considered unable to be caused or explained by natural means - a Christian worldview requires a non-consistent universe.
You can't guarantee that God - or any other supernatural entity - is constantly interfering in the operation of the universe.
Todays scientist have learn a scientfic method from the west, there sciencetific methods are not based on there beliefs.
The scientific method (actually methods, as there's really not a singular one) developed in the West (mostly), but it didn't require a Christian worldview. Nothing about a secular, deistic, Judaic, pantheistic or even paganistic worldview precludes the development of the scientific method.
Study the history of science and of those nations.
They all made advances, discoveries, but they all run out of steam as there belief systems did not, do not encurgae investigation into nature.
They continued to make advances - the idea that non-Western cultures were in some form of developmental stagnation is a bad historical meme that should have been done away with decades ago, but refuses to die.
What they didn't have was a Western style industrial revolution. Their technological development was incremental and evolutionary. So it was overtaken by the more rapidly developing west.
What they lacked were a combination of necessary pre-requisites, including (but not limited too): (very non-Christian) Enlightenment values; early modes of capitalism, with changes in financial institutions (particularly attitudes around lending behaviour); a wealth surplus generated by a combination of foreign colonies and trade; easy access to cheap energy (coal); strong internal transportation networks; multi-generational periods of (domestic) peace, combined with constant external threats; representative government with enforcement of private property rights.
The topic of my masters degree was the development of trade lanes by the Royal Navy during the 1700-1900 period and how these were changed by the introduction of coal. This is something that I studied for literally years.