How can strings be only one dimensional?

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When they say strings are one dimensional, do they mean that the height and width are really small that its only the length that matters? And if not, how can a one dimensional object exist if it has no height or width?
 
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I seem to notice a buildup of papers like this: Detecting single gravitons with quantum sensing. (OK, old one.) Toward graviton detection via photon-graviton quantum state conversion Is this akin to “we’re soon gonna put string theory to the test”, or are these legit? Mind, I’m not expecting anyone to read the papers and explain them to me, but if one of you educated people already have an opinion I’d like to hear it. If not please ignore me. EDIT: I strongly suspect it’s bunk but...

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