{"id":"https://openalex.org/W7224435581","doi":"https://doi.org/10.26434/chemrxiv.15011288/v1","title":"A spectral law for blackbody radiation without temperature or Planck\u2019s constant","display_name":"A spectral law for blackbody radiation without temperature or Planck\u2019s constant","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224435581","doi":"https://doi.org/10.26434/chemrxiv.15011288/v1"},"language":"en","primary_location":{"id":"doi:10.26434/chemrxiv.15011288/v1","doi":"https://doi.org/10.26434/chemrxiv.15011288/v1","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011288/v1","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011288/v1","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011288/v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114376451","display_name":"Abdennour Abbas","orcid":"https://orcid.org/0000-0003-1957-8948","observed_orcids":["https://orcid.org/0000-0003-1957-8948"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Abdennour Abbas","raw_affiliation_strings":["Falcon Heights , Minnesota , USA"],"raw_orcid":"https://orcid.org/0000-0003-1957-8948","affiliations":[{"raw_affiliation_string":"Falcon Heights , Minnesota , USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5114376451"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.4058000147342682,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12304","display_name":"Radiative Heat Transfer Studies","score":0.4058000147342682,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12019","display_name":"Calibration and Measurement Techniques","score":0.1973000019788742,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.08129999786615372,"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/blackbody-radiation","display_name":"blackbody radiation","score":0.9980000257492065},{"id":"https://openalex.org/keywords/spectral-law","display_name":"spectral law","score":0.9369999766349792},{"id":"https://openalex.org/keywords/planck-constant","display_name":"Planck constant","score":0.746999979019165},{"id":"https://openalex.org/keywords/temperature","display_name":"temperature","score":0.6359999775886536},{"id":"https://openalex.org/keywords/blackbody-spectrum","display_name":"blackbody spectrum","score":0.5690000057220459}],"concepts":[{"id":"https://openalex.org/C157909335","wikidata":"https://www.wikidata.org/wiki/Q900097","display_name":"Black-body radiation","level":3,"score":0.8925999999046326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6468999981880188},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5562999844551086},{"id":"https://openalex.org/C153385146","wikidata":"https://www.wikidata.org/wiki/Q18335","display_name":"Radiation","level":2,"score":0.44339999556541443},{"id":"https://openalex.org/C89394759","wikidata":"https://www.wikidata.org/wiki/Q192593","display_name":"Thermal radiation","level":2,"score":0.4138999879360199},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.35339999198913574},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.31139999628067017},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.271699994802475},{"id":"https://openalex.org/C36644815","wikidata":"https://www.wikidata.org/wiki/Q335272","display_name":"Solar constant","level":3,"score":0.2547999918460846}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.26434/chemrxiv.15011288/v1","doi":"https://doi.org/10.26434/chemrxiv.15011288/v1","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011288/v1","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011288/v1","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"doi:10.26434/chemrxiv.15011288/v2","doi":"https://doi.org/10.26434/chemrxiv.15011288/v2","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011288/v2","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011288/v2","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"doi:10.26434/chemrxiv.15011288/v3","doi":"https://doi.org/10.26434/chemrxiv.15011288/v3","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011288/v3","pdf_url":null,"source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.26434/chemrxiv.15011288/v1","doi":"https://doi.org/10.26434/chemrxiv.15011288/v1","is_oa":true,"landing_page_url":"https://doi.org/10.26434/chemrxiv.15011288/v1","pdf_url":"https://chemrxiv.org/doi/pdf/10.26434/chemrxiv.15011288/v1","source":{"id":"https://openalex.org/S4393918830","display_name":"ChemRxiv","issn_l":"2573-2293","issn":["2573-2293"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224435581.pdf","grobid_xml":"https://content.openalex.org/works/W7224435581.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1977733098","https://openalex.org/W2160661311","https://openalex.org/W4413906473","https://openalex.org/W7161997803","https://openalex.org/W7213236081","https://openalex.org/W7214245120","https://openalex.org/W7214946883"],"related_works":["https://openalex.org/W4240875207","https://openalex.org/W2185150164","https://openalex.org/W7162206593","https://openalex.org/W2090714011","https://openalex.org/W2047726912","https://openalex.org/W7055525248","https://openalex.org/W1634533881","https://openalex.org/W1612602205","https://openalex.org/W7126215106","https://openalex.org/W1649160257"],"abstract_inverted_index":{"Methodological":[0],"Note:The":[1],"approach":[2],"taken":[3],"here":[4],"is":[5,28,48,85],"empirical.We":[6],"begin":[7],"with":[8,66],"measured":[9,80],"spectral":[10,106],"quantities":[11],"and":[12,37,76,87,110],"examine":[13],"the":[14,39,57,99,103],"mathematical":[15],"relations":[16,31,61],"among":[17],"them":[18],"without":[19],"imposing":[20],"theoretical":[21,44],"interpretations":[22],"as":[23],"primary":[24],"organizing":[25],"principles.The":[26],"question":[27],"whether":[29],"these":[30],"are":[32,62],"sufficient":[33],"to":[34],"organize,":[35],"explain":[36],"predict":[38],"observations.The":[40],"absence":[41],"of":[42,55,93],"conventional":[43],"entities":[45],"or":[46],"mechanisms":[47],"therefore":[49],"not":[50],"an":[51],"omission,":[52],"but":[53,90],"part":[54,92],"what":[56],"analysis":[58],"tests.The":[59],"resulting":[60],"evaluated":[63],"through":[64,79],"agreement":[65],"measurements,":[67],"quantitative":[68],"predictive":[69],"accuracy,":[70],"parsimony,":[71],"generality":[72],"across":[73],"physical":[74,111],"systems,":[75],"explanatory":[77],"power":[78],"structural":[81],"constraints.The":[82],"present":[83],"work":[84],"self-contained":[86],"independently":[88],"testable,":[89],"forms":[91],"a":[94],"broader":[95],"empirical":[96,105],"research":[97],"program,":[98],"Spectral":[100],"Framework,":[101],"investigating":[102],"low-dimensional":[104],"organization":[107],"underlying":[108],"atomic":[109],"systems.":[112]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-30T00:00:00"}