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The phrase "additional dimension" is correct and usable in written English.
It can be used when discussing an extra aspect or feature that adds complexity or depth to a subject.
Example: "The new software update introduces an additional dimension to user experience by incorporating augmented reality features."
Alternatives: "extra layer" or "further aspect".
Exact(60)
Spatial parameters thus bring an additional dimension to the bifurcation diagrams, in addition to the kinetic ones.
Her interest in them had an additional dimension, though.
Facing off against a female candidate is an additional dimension.
However, they have an additional dimension to consider – not getting ahead of the boss.
What additional dimension might America's president bring on his first visit to the region?
He is their wildcard, the one player who gives them an additional dimension.
But in the Indian context, there is an additional dimension – zero-rating services.
The loading array contains 1 additional dimension for the total loading.
Quantitation of these two traits opens an additional dimension for analysis of cancer biology.
Hence, register shifting adds an additional dimension to the concept of degeneracy.
It adds an additional dimension to the discussion that's rarely talked about.
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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