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We report improved constraints on Yukawa-type interactions in the\n                    <jats:inline-formula>\n                      <jats:tex-math>$$10\\,\\mathrm {\\mu m}$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    regime using optically levitated dielectric microspheres as test masses. The search is performed, for the first time, sensing multiple spatial components of the force vector, and with sensitivity improved by a factor of\n                    <jats:inline-formula>\n                      <jats:tex-math>$$\\sim 100$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    with respect to previous measurements using the same technique. The resulting upper limit on the strength of a hypothetical new force is\n                    <jats:inline-formula>\n                      <jats:tex-math>$$10^7$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    at a Yukawa range\n                    <jats:inline-formula>\n                      <jats:tex-math>$$\\lambda \\simeq 5\\;\\mu$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    m and close to\n                    <jats:inline-formula>\n                      <jats:tex-math>$$10^6$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    for\n                    <jats:inline-formula>\n                      <jats:tex-math>$$\\lambda \\gtrsim 10\\;\\mu$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    m. This result also advances our efforts to measure gravitational effects using micrometer-size objects, with important implications for embryonic ideas to investigate the quantum nature of gravity.\n                  <\/jats:p>","DOI":"10.1038\/s41598-026-35656-6","type":"journal-article","created":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T05:04:26Z","timestamp":1768280666000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Optomechanical vector sensing of new forces at 6 micron separation"],"prefix":"10.1038","volume":"16","author":[{"given":"Gautam","family":"Venugopalan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Clarke A.","family":"Hardy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kenneth","family":"Kohn","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuqi","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Charles P.","family":"Blakemore","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander","family":"Fieguth","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jacqueline","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chengjie","family":"Jia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Meimei","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lorenzo","family":"Magrini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nadav","family":"Priel","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhengruilong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Giorgio","family":"Gratta","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,1,13]]},"reference":[{"key":"35656_CR1","doi-asserted-by":"publisher","unstructured":"Merkowitz, S.M.: Tests of Gravity Using Lunar Laser Ranging. 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