{"id":"https://openalex.org/W7225262955","doi":"https://doi.org/10.5281/zenodo.23936537","title":"Exponentials with a Moving Sound Speed: The Ansatz Identity Re-Run Against c_s(t)","display_name":"Exponentials with a Moving Sound Speed: The Ansatz Identity Re-Run Against c_s(t)","publication_year":2026,"publication_date":"2026-11-03","ids":{"openalex":"https://openalex.org/W7225262955","doi":"https://doi.org/10.5281/zenodo.23936537"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23936537","doi":"https://doi.org/10.5281/zenodo.23936537","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23936537","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":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23936537","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159396451","display_name":"William Alexander Aldred","orcid":null,"observed_orcids":[]},"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/A5159396451"],"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":0.6582000255584717,"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":0.6582000255584717,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.19059999287128448,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.08879999816417694,"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/exponential-solutions","display_name":"exponential solutions","score":0.7860000133514404},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.31200000643730164},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.5040000081062317},{"id":"https://openalex.org/keywords/vacuum-energy-problem","display_name":"vacuum energy problem","score":0.5979999899864197}],"concepts":[{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.885699987411499},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.660099983215332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6175000071525574},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6064000129699707},{"id":"https://openalex.org/C203718221","wikidata":"https://www.wikidata.org/wiki/Q491713","display_name":"Sound (geography)","level":2,"score":0.5860999822616577},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.5303000211715698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4113999903202057},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.40619999170303345},{"id":"https://openalex.org/C118532472","wikidata":"https://www.wikidata.org/wiki/Q4896405","display_name":"Bessel process","level":5,"score":0.382099986076355},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33009999990463257},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.31220000982284546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.296099990606308},{"id":"https://openalex.org/C31686786","wikidata":"https://www.wikidata.org/wiki/Q233699","display_name":"Second sound","level":3,"score":0.29499998688697815},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.2872999906539917},{"id":"https://openalex.org/C106978608","wikidata":"https://www.wikidata.org/wiki/Q1412691","display_name":"Wave packet","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.27239999175071716},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26649999618530273},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2574999928474426},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23936537","doi":"https://doi.org/10.5281/zenodo.23936537","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23936537","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":"Preprint"},{"id":"doi:10.5281/zenodo.23936538","doi":"https://doi.org/10.5281/zenodo.23936538","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23936538","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":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23936537","doi":"https://doi.org/10.5281/zenodo.23936537","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23936537","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":"Preprint"},"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":["https://openalex.org/W7225257305","https://openalex.org/W1669382230","https://openalex.org/W7225226330","https://openalex.org/W2607743254","https://openalex.org/W2129935113","https://openalex.org/W600195804","https://openalex.org/W878430447","https://openalex.org/W3026636184","https://openalex.org/W7214553165","https://openalex.org/W7214919987"],"abstract_inverted_index":{"Executes":[0],"item":[1],"D-495-501-02:":[2],"packet":[3],"#496's":[4,15],"ansatz":[5],"identity":[6,35],"re-run":[7],"with":[8,80],"a":[9,37,42,93,98,122],"time-dependent":[10],"sound":[11,124,128],"speed,":[12],"gated":[13],"on":[14,69,92],"exhibits":[16],"reproduced":[17],"at":[18,57,97,103,136],"the":[19,34,70,74,109],"printed":[20],"digits":[21],"(Gram":[22],"determinant":[23],"5.35e-02;":[24],"RMS":[25],"residuals":[26],"4.48/5.08/6.66;":[27],"Bessel":[28],"deviation":[29],"8.38e-11).":[30],"With":[31],"c_s(t)":[32],"free":[33],"becomes":[36],"determination:":[38],"e^{gamma":[39],"t}":[40],"is":[41,118],"solution":[43,82],"iff":[44],"c_s(t)^2":[45],"k^2":[46],"=":[47,67,105],"-gamma^2":[48],"t^{4/3}":[49],"-":[50],"(4":[51],"gamma/3)":[52],"t^{1/3}":[53],"+":[54,84],"(2/3)":[55,78],"t^{-2/3}":[56],"every":[58],"t.":[59],"Existence":[60],"survives":[61],"in":[62],"exactly":[63,130],"two":[64],"shapes:":[65],"gamma":[66,88,104,117],"0":[68,90],"whole":[71],"half-line":[72],"under":[73],"single":[75],"decaying":[76],"profile":[77,111],"t^{-2/3},":[79],"general":[81],"c1":[83],"c2":[85],"t^{-1/3};":[86],"and":[87],"!=":[89],"real":[91,123],"finite":[94],"interval":[95],"ending":[96],"computed":[99],"crossing":[100],"t*(gamma)":[101],"(0.7749":[102],"0.5)":[106],"beyond":[107],"which":[108],"dictated":[110],"demands":[112],"c_s^2":[113],"<":[114],"0.":[115],"Non-real":[116],"never":[119],"sustainable":[120],"by":[121],"speed.":[125],"Among":[126],"power-law":[127],"speeds":[129],"one":[131],"member":[132],"admits":[133],"an":[134],"exponential,":[135],"rate":[137],"zero.":[138],"Quantum":[139],"gravity":[140],"NOT":[141,145],"SOLVED;":[142],"vacuum":[143],"catastrophe":[144],"SOLVED.":[146]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}