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I have two objects (not people) that should not touch each other and so I need to verify that the distance between the first object and the second object is greater than a certain threshold.

I can generically speak about their distance but I would like to use a more specific word and after some research I found separation and clearance: what is the best?

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It depends on the context, but I would use gap

Example: "Please ensure a gap between the the TV and the wall"

Clearance is also fine, but it is more of an engineering term

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    To me clearance sounds natural too, but implies movement — i.e. I'd leave a gap if placing the TV next to the wall, but I'd allow 6in clearance if moving the TV through a door. Oct 13 at 10:42

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