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The phrase "uncertainty on" is correct and usable in written English.
You can use this phrase when referring to a situation or issue for which there is uncertainty or lack of clarity. For example: "There is considerable uncertainty on the future of the economy."
Exact(56)
But one vague prospect looms: new uncertainty on our roadways.
Your productions often throw uncertainty on the truth.
"The uncertainty on the assumptions was large," he said.
There is still uncertainty on maintaining access to permissive paths.
"It would leave all the uncertainty on the table".
And you know about the uncertainty on Wall Street.
That created an uncertainty on the biggest prize of all.
Moreover, there is uncertainty on the methodology of this exercise".
"The uncertainty on Wednesday sent markets and the euro tumbling.
He said light volumes reflected investor uncertainty on those issues.
The uncertainty on the customers' side of the cash register is matched by the uncertainty on the clerks' side.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com