{"paper":{"title":"Spontaneous Symmetry Breaking and the Vacuum Displacement Principle: From Galactic Scales to Cosmic Fine-Tuning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A Higgs-like vacuum scalar field breaks symmetry and couples to matter, generating a buoyancy force that modifies geodesics to produce flat galactic rotation curves and track the cosmological constant.","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Rodrigo Maier","submitted_at":"2026-04-22T19:48:11Z","abstract_excerpt":"We present a modified gravity framework based on a principle of vacuum displacement, where the vacuum is modeled as a Higgs-type scalar field $\\chi$ undergoing spontaneous symmetry breaking. The macroscopic manifestation of such vacuum displacement principle is phenomenologically introduced via a low-energy effective scalar tensor coupling so that baryonic matter acts as an impurity in the vacuum substrate. This interaction leads to a restorative buoyancy force that modifies the geodesic equation and violates the Weak Equivalence Principle. We show that this mechanism naturally recovers the Sc"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"This interaction leads to a restorative buoyancy force that modifies the geodesic equation and violates the Weak Equivalence Principle. We show that this mechanism naturally recovers the Schwarzschild metric in the vacuum limit while providing a Yukawa-corrected Newtonian potential in the presence of matter. This correction offers a dynamical explanation for flat galactic rotation curves and a tracking mechanism for the cosmological constant, potentially resolving the coincidence and fine-tuning problems without the need of dark sectors.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The introduction of the coupling Q^ν = α T ∇^ν χ and the assumption that baryonic matter acts as an impurity in the vacuum substrate leading to a restorative buoyancy force; if this coupling does not produce the claimed effects or if the symmetry breaking does not lead to the buoyancy as described, the explanations for rotation curves and cosmological constant fail.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A vacuum scalar field with spontaneous symmetry breaking and matter coupling generates Yukawa-corrected gravity that accounts for flat galactic rotation curves and dynamically tracks the cosmological constant.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A Higgs-like vacuum scalar field breaks symmetry and couples to matter, generating a buoyancy force that modifies geodesics to produce flat galactic rotation curves and track the cosmological constant.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a24c49153855e3c7a500cd5d0e52cfae00f89a7e0f380709051a041b206afc61"},"source":{"id":"2604.21050","kind":"arxiv","version":2},"verdict":{"id":"7ce8f8f5-61cd-4680-9e54-5b64610534f4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-09T23:19:27.505582Z","strongest_claim":"This interaction leads to a restorative buoyancy force that modifies the geodesic equation and violates the Weak Equivalence Principle. We show that this mechanism naturally recovers the Schwarzschild metric in the vacuum limit while providing a Yukawa-corrected Newtonian potential in the presence of matter. This correction offers a dynamical explanation for flat galactic rotation curves and a tracking mechanism for the cosmological constant, potentially resolving the coincidence and fine-tuning problems without the need of dark sectors.","one_line_summary":"A vacuum scalar field with spontaneous symmetry breaking and matter coupling generates Yukawa-corrected gravity that accounts for flat galactic rotation curves and dynamically tracks the cosmological constant.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The introduction of the coupling Q^ν = α T ∇^ν χ and the assumption that baryonic matter acts as an impurity in the vacuum substrate leading to a restorative buoyancy force; if this coupling does not produce the claimed effects or if the symmetry breaking does not lead to the buoyancy as described, the explanations for rotation curves and cosmological constant fail.","pith_extraction_headline":"A Higgs-like vacuum scalar field breaks symmetry and couples to matter, generating a buoyancy force that modifies geodesics to produce flat galactic rotation curves and track the cosmological constant."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.21050/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T13:38:17.869900Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T01:24:48.875341Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"ad9670a1c1645f207bf55a649bff8fb06e5ab916e8947dbc2bc58278a17918c0"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}