{"id":"https://openalex.org/W7126084530","doi":"https://doi.org/10.17605/osf.io/enbt6","title":"Tensorial Formulation of Thermodynamic Retraction in a Viscoelastic Universe and the Prediction of a Universal Growth Index \u03b3 = 0.6180339887","display_name":"Tensorial Formulation of Thermodynamic Retraction in a Viscoelastic Universe and the Prediction of a Universal Growth Index \u03b3 = 0.6180339887","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7126084530","doi":"https://doi.org/10.17605/osf.io/enbt6"},"language":"en","primary_location":{"id":"pmh:doi:10.17605/osf.io/enbt6","doi":null,"is_oa":true,"landing_page_url":"https://osf.io/enbt6","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://osf.io/enbt6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089460935","display_name":"Joel Almeida","orcid":"https://orcid.org/0009-0003-4015-7694","observed_orcids":["https://orcid.org/0009-0003-4015-7694"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"almeida, Joel","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0003-4015-7694","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5089460935"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dead-universe-theory","display_name":"Dead Universe Theory","score":0.9160000085830688},{"id":"https://openalex.org/keywords/thermodynamic-gravity","display_name":"thermodynamic gravity","score":0.7170000076293945},{"id":"https://openalex.org/keywords/entropic-cosmology","display_name":"entropic cosmology","score":0.8489999771118164},{"id":"https://openalex.org/keywords/modified-gravity","display_name":"modified gravity","score":0.7940000295639038},{"id":"https://openalex.org/keywords/viscoelastic-spacetime","display_name":"viscoelastic spacetime","score":0.9259999990463257},{"id":"https://openalex.org/keywords/growth-indicators","display_name":"growth index","score":0.7179999947547913},{"id":"https://openalex.org/keywords/hubble-tension","display_name":"Hubble tension","score":0.7250000238418579},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.5899999737739563},{"id":"https://openalex.org/keywords/einstein-field-equations","display_name":"Einstein field equations","score":0.5910000205039978},{"id":"https://openalex.org/keywords/continuum-mechanics","display_name":"continuum mechanics","score":0.5189999938011169},{"id":"https://openalex.org/keywords/late-time-cosmic-acceleration","display_name":"late-time cosmic acceleration","score":0.7440000176429749}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5909000039100647},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5047000050544739},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.503000020980835},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.47749999165534973},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4596000015735626},{"id":"https://openalex.org/C20154449","wikidata":"https://www.wikidata.org/wiki/Q1129469","display_name":"Metric expansion of space","level":4,"score":0.45570001006126404},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.453900009393692},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.45010000467300415},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.4374000132083893},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3732999861240387},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.3659000098705292},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.36579999327659607},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3165999948978424},{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.3125},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.29109999537467957},{"id":"https://openalex.org/C2780791080","wikidata":"https://www.wikidata.org/wiki/Q273711","display_name":"Einstein field equations","level":3,"score":0.28859999775886536},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C207297109","wikidata":"https://www.wikidata.org/wiki/Q15605","display_name":"Cosmic microwave background","level":3,"score":0.2653999924659729},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.2542000114917755}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.17605/osf.io/enbt6","doi":null,"is_oa":true,"landing_page_url":"https://osf.io/enbt6","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"doi:10.17605/osf.io/enbt6","doi":"https://doi.org/10.17605/osf.io/enbt6","is_oa":true,"landing_page_url":"https://doi.org/10.17605/osf.io/enbt6","pdf_url":null,"source":{"id":"https://openalex.org/S7407050956","display_name":"Open Science Framework","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:doi:10.17605/osf.io/enbt6","doi":null,"is_oa":true,"landing_page_url":"https://osf.io/enbt6","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7135033895","https://openalex.org/W7135099331","https://openalex.org/W7172487898","https://openalex.org/W7162657725","https://openalex.org/W7106838662","https://openalex.org/W7131616646","https://openalex.org/W7125581430","https://openalex.org/W7131409280","https://openalex.org/W7107863759","https://openalex.org/W7216121702"],"abstract_inverted_index":{"The":[0,18,230],"persistent":[1],"H0":[2],"and":[3,72,189,214,234],"growth":[4,112,135],"tensions":[5],"in":[6,26,183,193,218,239,253],"\u039bCDM":[7],"cosmology":[8],"motivate":[9],"a":[10,44,57,69,92,109,130,153,172],"re-examination":[11],"of":[12,43,105,123,133,159,171,178,247],"the":[13,63,76,88,101,106,121,124,134,143,179,184,194,225,240,248,254],"expansion":[14,36],"paradigm\u2019s":[15],"foundational":[16],"assumptions.":[17],"Dead":[19],"Universe":[20],"Theory":[21],"(DUT)":[22],"proposes":[23],"an":[24],"alternative":[25],"which":[27],"observable":[28],"galaxy":[29],"separation":[30],"is":[31,181,251],"not":[32],"due":[33],"to":[34,167],"metric":[35],"but":[37],"results":[38],"from":[39,68,100],"irreversible,":[40],"entropy-driven":[41],"deformation":[42,65],"viscoelastic":[45],"spacetime":[46],"continuum":[47],"undergoing":[48],"global":[49],"gravitational":[50,174],"retraction.":[51],"This":[52,150],"work":[53,220],"formalizes":[54],"DUT":[55],"within":[56],"relativistic":[58],"continuum-mechanics":[59],"framework.":[60],"We":[61],"derive":[62],"entropic":[64],"tensor":[66],"\u039e_\u03bc\u03bd":[67,83],"variational":[70],"principle":[71],"incorporate":[73],"it":[74],"into":[75],"Einstein":[77],"field":[78],"equations":[79,213],"as":[80],"G_\u03bc\u03bd":[81],"+":[82],"=":[84,115],"8\u03c0G":[85],"T_\u03bc\u03bd,":[86],"replacing":[87],"cosmological":[89],"constant":[90],"with":[91,138],"dynamical,":[93],"entropy-sourced":[94],"curvature.":[95],"A":[96],"key":[97],"prediction":[98],"follows":[99],"asymptotic":[102],"stability":[103],"analysis":[104],"resulting":[107],"system:":[108],"unique,":[110],"non-adjustable":[111],"index":[113,136],"\u03b3":[114,139],"(\u221a5":[116],"\u2212":[117],"1)/2":[118],"\u2248":[119,140],"0.6180339887\u2026,":[120],"signature":[122],"theory\u2019s":[125],"Unique":[126],"Vacuum":[127],"Attractor.":[128],"Consequently,":[129],"high-precision":[131],"measurement":[132],"consistent":[137],"0.55":[141],"at":[142],"<0.01":[144],"level":[145],"would":[146],"strongly":[147],"falsify":[148],"DUT.":[149],"formulation":[151],"provides":[152],"falsifiable,":[154],"thermodynamically":[155],"grounded":[156],"geometric":[157],"description":[158],"cosmic":[160],"dynamics,":[161],"directly":[162],"linking":[163],"late-time":[164],"acceleration-like":[165],"phenomena":[166],"residual":[168],"entropy":[169],"gradients":[170],"\u201cdead\u201d":[173],"substrate.":[175],"Numerical":[176],"validation":[177],"attractor":[180],"available":[182,227],"mission-grade":[185],"inference":[186,235],"pipeline":[187],"(repository":[188],"preprint":[190],"DOI":[191,257],"provided":[192],"Data/Code":[195],"Availability":[196],"statement).":[197],"Keywords:":[198],"Modified":[199],"Gravity,":[200,202],"Thermodynamic":[201],"Cosmological":[203],"Tensions,":[204],"Entropic":[205],"Cosmology,":[206],"Viscoelastic":[207],"Spacetime,":[208],"Growth":[209],"Index.":[210],"Footnote":[211],"All":[212],"numerical":[215],"predictions":[216],"presented":[217],"this":[219],"are":[221,237],"fully":[222],"reproducible":[223],"using":[224],"publicly":[226],"computational":[228],"pipeline.":[229],"complete":[231],"implementation,":[232],"datasets,":[233],"routines":[236],"accessible":[238],"open-source":[241],"repository:":[242],"https://github.com/ExtractoDAO/DUT-CMB-Scientific-Engine-3.0-NASA-ESA-Production-Grade":[243],".The":[244],"mathematical":[245],"derivation":[246],"theoretical":[249],"framework":[250],"detailed":[252],"companion":[255],"preprint:":[256],"10.20944/preprints202511.2044.v1.":[258]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-01-30T00:00:00"}
