{"paper":{"title":"Emergent $\\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A minimal time-dependent deformation of the Newtonian action produces the full matter, radiation, and accelerated phases of LambdaCDM cosmology from one potential.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"S. M. M. Rasouli","submitted_at":"2026-03-03T15:46:21Z","abstract_excerpt":"We propose a minimal extension of the Newtonian action by introducing a time-dependent fractional kernel characterized by a single deformation parameter $\\alpha$. This kernel admits a natural interpretation as a nontrivial integration measure defined by a time-dependent kernel, placing the formulation within measure-based approaches to anomalous or fractal dynamics. Despite the appearance of a friction-like term in the equations of motion, a conserved quantity is still obtained, containing a memory-like fractional kinetic energy contribution. Moreover, by generalizing the standard Newtonian po"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that, with a single unified potential, the matter-dominated, radiation-dominated, and present accelerated phases are obtained self-consistently, while the latter two epochs cannot be described within standard Newtonian cosmology. [...] an effective cosmological constant emerges, controlled by the small deviation of α from the Newtonian limit.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The generalization of the standard Newtonian potential to an α-dependent effective potential induced by the underlying measure is valid and leads to the FLRW correspondence at the level of background dynamics.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Deforming the Newtonian action with a fractional time kernel generates effective ΛCDM cosmology, including accelerated expansion from a single potential when α is near 1.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A minimal time-dependent deformation of the Newtonian action produces the full matter, radiation, and accelerated phases of LambdaCDM cosmology from one potential.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f89816f79034d86e11f59afb2696a0ea61a0870bc90ac35e8f554454d58125c2"},"source":{"id":"2603.03113","kind":"arxiv","version":4},"verdict":{"id":"a2ba816b-9b10-428a-85b0-553a572513b8","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T16:45:12.104650Z","strongest_claim":"We show that, with a single unified potential, the matter-dominated, radiation-dominated, and present accelerated phases are obtained self-consistently, while the latter two epochs cannot be described within standard Newtonian cosmology. [...] an effective cosmological constant emerges, controlled by the small deviation of α from the Newtonian limit.","one_line_summary":"Deforming the Newtonian action with a fractional time kernel generates effective ΛCDM cosmology, including accelerated expansion from a single potential when α is near 1.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The generalization of the standard Newtonian potential to an α-dependent effective potential induced by the underlying measure is valid and leads to the FLRW correspondence at the level of background dynamics.","pith_extraction_headline":"A minimal time-dependent deformation of the Newtonian action produces the full matter, radiation, and accelerated phases of LambdaCDM cosmology from one potential."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.03113/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d9d80dde5ba6915d97e04dd2b19005d9dec4f74f3be04e07315343ec081353f0"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}