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"hypothesis on" is correct and usable in written English.
You can use it to introduce a speculation or idea on a certain topic or situation in order to explain why something is happening or to explain a theory for further research. For example: "This paper presents a hypothesis on the formation of stars in our galaxy."
Exact(60)
From the hypothesis on f, one can write (vert f(x vert leq M) ((M>0)).
The evidence provides strong support for the male breadwinner hypothesis on the one hand, and for Oppenheimer's career uncertainty hypothesis on the other.
And we already have another hypothesis on where a second palace may be located".
There was a third hypothesis, on a different level from the first two, which took the painting's supernatural origins into account.
On the Discovery pages, we find 97-year-old James Lovelock, the father of the Gaia hypothesis, on very good form indeed.
In 1945, the study of butterfly genitalia led Nabokov to his most daring scientific hypothesis, on the relationship between Old World and New World blues.
In fact, botanists used this idea as the basis for a hypothesis on why some forests contain a greater mix of tree species than others.
Our hypothesis on implies that (2.5).
Applying the hypothesis on and since (4.53).
Finally, some hypothesis on reaction mechanisms and prospects are examined.
This boils down to my hypothesis on Austin venture capital funds.
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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