This technical report presents the first systematic comparison between Relational Thermodynamic Layered Index (RTLI) coherence geometry and General Relativity’s gravitational time-dilation structure across four independent astrophysical regimes: the Cosmic Microwave Background, SPARC galaxy rotation curves, the Radial Acceleration Relation, and SPTpol galaxy clusters.
\nAcross all datasets, RTLI coherence angles follow a monotonic inverse hierarchy that parallels the depth of gravitational potential wells predicted by General Relativity, while preserving RTLI’s characteristic internal (≈20°) and boundary (≈40°) coherence angles. A time-flow parameter,
\nv_t^{\\mathrm{RTLI}} = w_{\\mathrm{geo}} \\cos\\theta,
\nis shown to track the ordering of GR time-dilation factors, suggesting that RTLI encodes gravitational structure in an information-geometric language complementary to classical metric curvature.
\nThe correspondence is phenomenological, not replacement: RTLI does not modify or override GR. Instead, it reveals an underlying relational structure—observable in PCA coherence, cluster scaling relations, CMB dimensional flow (ρ = ±1.000), and the universal 73/27 information split in black holes—that appears consistent with how GR organizes physical systems.
\nWe conclude that RTLI provides a unifying information-geometric lens across cosmology, galaxies, clusters, and black holes, and merits further development as a complementary framework for interpreting gravitational phenomena.
", "publication_date": "2025-12-07", "publisher": "Zenodo", "resource_type": { "id": "publication-preprint", "title": { "de": "Preprint", "en": "Preprint" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "Relational Thermodynamic Layered Index (RTLI); coherence geometry; General Relativity; gravitational potential; time dilation; information geometry; universal coherence angles; cosmology; CMB; SPARC; Radial Acceleration Relation; SPTpol clusters; PCA coherence; 73/27 information split; black hole information; emergent geometry; astrophysical scaling laws; phenomenological correspondence." } ], "title": "Phenomenological Correspondence Between RTLI Coherence Geometry and General Relativity Across Astrophysical Systems" }, "parent": { "access": { "owned_by": { "user": "1440779" }, "settings": { "accept_conditions_text": null, "allow_guest_requests": false, "allow_user_requests": false, "secret_link_expiration": 0 } }, "communities": {}, "id": "17849939", "pids": { "doi": { "client": "datacite", "identifier": "10.5281/zenodo.17849939", "provider": "datacite" } } }, "pids": { "doi": { "client": "datacite", "identifier": "10.5281/zenodo.17849940", "provider": "datacite" }, "oai": { "identifier": "oai:zenodo.org:17849940", "provider": "oai" } }, "revision_id": 3, "stats": { "all_versions": { "data_volume": 5718950.0, "downloads": 23, "unique_downloads": 21, "unique_views": 28, "views": 30 }, "this_version": { "data_volume": 5718950.0, "downloads": 23, "unique_downloads": 21, "unique_views": 28, "views": 30 } }, "status": "published", "swh": {}, "updated": "2025-12-07T21:46:49.761216+00:00", "versions": { "index": 1, "is_latest": true } }