{"work":{"id":"2a0120b1-e95e-4feb-bff9-d41792458262","openalex_id":null,"doi":null,"arxiv_id":"hep-ph/0611184","raw_key":null,"title":"Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale","authors":null,"authors_text":"Kapner, D","year":2006,"venue":"hep-ph","abstract":"We conducted three torsion-balance experiments to test the gravitational inverse-square law at separations between 9.53 mm and 55 micrometers, probing distances less than the dark-energy length scale $\\lambda_{\\rm d}=\\sqrt[4]{\\hbar c/\\rho_{\\rm d}}\\approx 85 \\mu$m. We find with 95% confidence that the inverse-square law holds ($|\\alpha| \\leq 1$) down to a length scale $\\lambda = 56 \\mu$m and that an extra dimension must have a size $R \\leq 44 \\mu$m.","external_url":"https://arxiv.org/abs/hep-ph/0611184","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T14:05:54.318086+00:00","pith_arxiv_id":"hep-ph/0611184","created_at":"2026-05-11T04:40:57.423195+00:00","updated_at":"2026-05-25T14:05:54.318086+00:00","title_quality_ok":true,"display_title":"Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale","render_title":"Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale"},"hub":{"state":{"work_id":"2a0120b1-e95e-4feb-bff9-d41792458262","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":10,"external_cited_by_count":null,"distinct_field_count":2,"first_pith_cited_at":"2014-03-28T14:04:31+00:00","last_pith_cited_at":"2026-05-11T10:41:43+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-30T13:21:13.995835+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":2},{"context_role":"dataset","n":1}],"polarity_counts":[{"context_polarity":"background","n":1},{"context_polarity":"support","n":1},{"context_polarity":"use_dataset","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}