{"id":"https://openalex.org/W7225397302","doi":"https://doi.org/10.5281/zenodo.24012760","title":"Microscopic Calibration of the Thermodynamic Cascade: Computational Evidence of Fractional Scaling in the Quantum Vacuum","display_name":"Microscopic Calibration of the Thermodynamic Cascade: Computational Evidence of Fractional Scaling in the Quantum Vacuum","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225397302","doi":"https://doi.org/10.5281/zenodo.24012760"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24012760","doi":"https://doi.org/10.5281/zenodo.24012760","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24012760","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.24012760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157612408","display_name":"Raymond Russell Williams","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Williams, Raymond Russell","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5157612408"],"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.000699999975040555,"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"}},{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/fractional-dimension","display_name":"fractional dimension","score":0.8069999814033508},{"id":"https://openalex.org/keywords/quantum-vacuum","display_name":"quantum vacuum","score":0.8309999704360962},{"id":"https://openalex.org/keywords/casimir-effect","display_name":"Casimir effect","score":0.7929999828338623},{"id":"https://openalex.org/keywords/scaling-exponents","display_name":"scaling exponents","score":0.7950000166893005},{"id":"https://openalex.org/keywords/vacuum-energy","display_name":"vacuum energy","score":0.5059999823570251},{"id":"https://openalex.org/keywords/emergent-space","display_name":"emergent space","score":0.699999988079071},{"id":"https://openalex.org/keywords/quantum-electrodynamics","display_name":"quantum electrodynamics","score":0.6800000071525574}],"concepts":[{"id":"https://openalex.org/C106881136","wikidata":"https://www.wikidata.org/wiki/Q275393","display_name":"Casimir effect","level":2,"score":0.8522999882698059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7484999895095825},{"id":"https://openalex.org/C6947382","wikidata":"https://www.wikidata.org/wiki/Q1143773","display_name":"Vacuum energy","level":2,"score":0.6736000180244446},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6632999777793884},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.6082000136375427},{"id":"https://openalex.org/C70662872","wikidata":"https://www.wikidata.org/wiki/Q766202","display_name":"Vacuum state","level":2,"score":0.578499972820282},{"id":"https://openalex.org/C159691708","wikidata":"https://www.wikidata.org/wiki/Q348294","display_name":"QED vacuum","level":3,"score":0.5443999767303467},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5267000198364258},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4778999984264374},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4465000033378601},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44020000100135803},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4357999861240387},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.40619999170303345},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.39890000224113464},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3970000147819519},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.38589999079704285},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3723999857902527},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35679998993873596},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.349700003862381},{"id":"https://openalex.org/C207789793","wikidata":"https://www.wikidata.org/wiki/Q3028070","display_name":"Critical dimension","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C41607394","wikidata":"https://www.wikidata.org/wiki/Q2420179","display_name":"Thermodynamic potential","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C141886431","wikidata":"https://www.wikidata.org/wiki/Q1193821","display_name":"Quantum fluctuation","level":3,"score":0.33959999680519104},{"id":"https://openalex.org/C100752768","wikidata":"https://www.wikidata.org/wiki/Q2538708","display_name":"False vacuum","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C2780154664","wikidata":"https://www.wikidata.org/wiki/Q1886497","display_name":"Vacuum polarization","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3118000030517578},{"id":"https://openalex.org/C34829970","wikidata":"https://www.wikidata.org/wiki/Q845260","display_name":"Quantum statistical mechanics","level":3,"score":0.29600000381469727},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.27730000019073486},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.27090001106262207},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2667999863624573},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.265500009059906}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24012760","doi":"https://doi.org/10.5281/zenodo.24012760","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24012760","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.24012761","doi":"https://doi.org/10.5281/zenodo.24012761","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24012761","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.24025734","doi":"https://doi.org/10.5281/zenodo.24025734","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24025734","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.24012760","doi":"https://doi.org/10.5281/zenodo.24012760","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24012760","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/W7131404573","https://openalex.org/W309275538","https://openalex.org/W7160327676","https://openalex.org/W7128949301","https://openalex.org/W6912067110","https://openalex.org/W7154504996","https://openalex.org/W7106157928","https://openalex.org/W6903798849","https://openalex.org/W7147592934","https://openalex.org/W7095344276"],"abstract_inverted_index":{"Standard":[0],"Quantum":[1],"Electrodynamics":[2],"(QED)":[3],"assumes":[4],"a":[5,27,34,52,57],"perfectly":[6],"three-dimensional":[7],"vacuum":[8,60],"(D":[9,30],"=":[10,31,39],"3).":[11],"The":[12],"Thermodynamic":[13],"Cascade":[14],"framework":[15,46],"proposes":[16],"that":[17],"space":[18],"operates":[19],"as":[20],"an":[21],"emergent":[22],"energy":[23],"cascade":[24],"characterized":[25],"by":[26],"fractional":[28],"dimension":[29],"2.70285)":[32],"and":[33,56],"dimensional":[35],"transition":[36],"constant":[37],"(\u039b":[38],"0.29715).":[40],"This":[41],"paper":[42],"computationally":[43],"cross-validates":[44],"this":[45],"against":[47],"the":[48],"Casimir":[49],"effect,":[50],"predicting":[51],"modified":[53],"scaling":[54],"exponent":[55],"measurable":[58],"excess":[59],"force":[61],"at":[62],"extreme":[63],"micro-scales.":[64]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}
