{"id":"https://openalex.org/W7225817195","doi":"https://doi.org/10.5281/zenodo.24125729","title":"Primordial Tensor Spectral Index of a Torsion Bounce: A Computed Blue Tilt and Its Amplitude Cost","display_name":"Primordial Tensor Spectral Index of a Torsion Bounce: A Computed Blue Tilt and Its Amplitude Cost","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225817195","doi":"https://doi.org/10.5281/zenodo.24125729"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24125729","doi":"https://doi.org/10.5281/zenodo.24125729","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24125729","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24125729","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161362375","display_name":"William Alexander Aldred","orcid":"https://orcid.org/0009-0000-1215-577X","observed_orcids":["https://orcid.org/0009-0000-1215-577X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Aldred, William Alexander","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-1215-577X","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5161362375"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.9990000128746033,"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":0.9990000128746033,"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":0.00039999998989515007,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.0,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.720300018787384},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5828999876976013},{"id":"https://openalex.org/C2779844322","wikidata":"https://www.wikidata.org/wiki/Q2919140","display_name":"Tilt (camera)","level":2,"score":0.5593000054359436},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5468000173568726},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5426999926567078},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4742000102996826},{"id":"https://openalex.org/C42061751","wikidata":"https://www.wikidata.org/wiki/Q2280060","display_name":"Spectral index","level":3,"score":0.4401000142097473},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.436599999666214},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39820000529289246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3905999958515167},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3416000008583069},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.33570000529289246},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25940001010894775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24125729","doi":"https://doi.org/10.5281/zenodo.24125729","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24125729","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"},{"id":"doi:10.5281/zenodo.24125730","doi":"https://doi.org/10.5281/zenodo.24125730","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24125730","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24125729","doi":"https://doi.org/10.5281/zenodo.24125729","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24125729","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1,172],"computes":[2],"a":[3,8,43,60,183],"specific":[4],"gravitational-wave":[5],"consequence":[6],"of":[7,103,148],"torsion-regulated":[9],"bounce":[10,45],"in":[11,69,140],"Einstein-Cartan":[12],"gravity,":[13],"taking":[14],"the":[15,27,47,51,56,90,93,104,133,137,141,144,162,166],"limiting":[16],"density":[17],"for":[18,191],"neutron":[19],"matter,":[20],"9.72e+54":[21],"grams":[22],"per":[23],"cubic":[24],"centimetre":[25],"under":[26],"stated":[28,139,178],"prescription,":[29],"as":[30,42],"its":[31,77],"single":[32],"input":[33],"scale.":[34],"A":[35],"blue":[36,78],"tensor":[37,67],"tilt":[38,52,79,91],"is":[39,53,130,155,164,169,173,181],"often":[40],"quoted":[41],"generic":[44],"signature;":[46],"calculation":[48],"here":[49],"shows":[50],"fixed":[54],"by":[55,132],"contraction":[57,62,75],"rate,":[58],"that":[59,73,89,165],"matter-like":[61],"gives":[63],"an":[64,81],"exactly":[65],"scale-invariant":[66],"spectrum":[68],"this":[70],"treatment,":[71],"and":[72,92,143,175,185],"stiffer":[74],"buys":[76],"at":[80,84,157],"amplitude":[82,95],"cost":[83],"small":[85],"scales":[86],"so":[87],"steep":[88],"large-scale":[94],"cannot":[96],"both":[97],"be":[98],"large.":[99],"The":[100,171],"headline":[101],"results":[102],"computation":[105],"are:":[106],"n_T_fiducial":[107],"=":[108,111,114,117,120,123,126],"2.00,":[109],"growth":[110],"9.79e+17,":[112],"A_t_pivot":[113],"7.56e-11,":[115],"A_t_smallscale_power":[116],"7.25e+25,":[118],"w_fiducial":[119],"0.333,":[121],"n_T_matter_contraction":[122],"0.00,":[124],"r_max_if_blue":[125],"4.96e-40.":[127],"Each":[128],"quantity":[129,150],"evaluated":[131],"deposited":[134],"script":[135],"from":[136,177],"assumptions":[138],"Methods,":[142],"agreement":[145],"or":[146],"disagreement":[147],"each":[149],"with":[151],"published":[152],"observational":[153,187],"bounds":[154],"reported":[156],"face":[158],"value,":[159],"including":[160],"where":[161],"conclusion":[163],"channel":[167],"examined":[168],"closed.":[170],"simulated":[174],"computed":[176],"assumptions;":[179],"it":[180],"not":[182],"measurement,":[184],"no":[186],"data":[188],"were":[189],"taken":[190],"it.":[192]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}