{"id":"https://openalex.org/W7225450180","doi":"https://doi.org/10.5281/zenodo.24035519","title":"The Paper and the Pen Framework: Dimensionally Consistent Vacuum Fluctuation Scale, Variational Axion Energy Exchange, and Cosmological Diagnostics","display_name":"The Paper and the Pen Framework: Dimensionally Consistent Vacuum Fluctuation Scale, Variational Axion Energy Exchange, and Cosmological Diagnostics","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225450180","doi":"https://doi.org/10.5281/zenodo.24035519"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24035519","doi":"https://doi.org/10.5281/zenodo.24035519","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24035519","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.24035519","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147988540","display_name":"Haroune Bendekkiche","orcid":"https://orcid.org/0009-0005-5522-4698","observed_orcids":["https://orcid.org/0009-0005-5522-4698"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bendekkiche, Haroune","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0005-5522-4698","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5147988540"],"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":0.9940999746322632,"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":0.9940999746322632,"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":0.0019000000320374966,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0017999999690800905,"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":[{"id":"https://openalex.org/keywords/unimodular-gravity","display_name":"unimodular gravity","score":0.9950000047683716},{"id":"https://openalex.org/keywords/axion-field","display_name":"axion field","score":0.8009999990463257},{"id":"https://openalex.org/keywords/vacuum-fluctuations","display_name":"vacuum fluctuations","score":0.6909999847412109},{"id":"https://openalex.org/keywords/dark-energy","display_name":"dark energy","score":0.7300000190734863},{"id":"https://openalex.org/keywords/poisson-model","display_name":"Poisson model","score":0.8349999785423279},{"id":"https://openalex.org/keywords/energy-conservation-physics","display_name":"energy conservation (physics)","score":0.5740000009536743}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7117999792098999},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.6843000054359436},{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.5260000228881836},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4756999909877777},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.45019999146461487},{"id":"https://openalex.org/C30864177","wikidata":"https://www.wikidata.org/wiki/Q742982","display_name":"Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker metric","level":3,"score":0.43720000982284546},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.3993000090122223},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3926999866962433},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.36000001430511475},{"id":"https://openalex.org/C113471709","wikidata":"https://www.wikidata.org/wiki/Q792548","display_name":"Axion","level":3,"score":0.35760000348091125},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.35530000925064087},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.35519999265670776},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.34940001368522644},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3228999972343445},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.31709998846054077},{"id":"https://openalex.org/C6947382","wikidata":"https://www.wikidata.org/wiki/Q1143773","display_name":"Vacuum energy","level":2,"score":0.31200000643730164},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.31049999594688416},{"id":"https://openalex.org/C70662872","wikidata":"https://www.wikidata.org/wiki/Q766202","display_name":"Vacuum state","level":2,"score":0.3057999908924103},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.30230000615119934},{"id":"https://openalex.org/C2986766689","wikidata":"https://www.wikidata.org/wiki/Q676081","display_name":"Energy exchange","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C100752768","wikidata":"https://www.wikidata.org/wiki/Q2538708","display_name":"False vacuum","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C155654285","wikidata":"https://www.wikidata.org/wiki/Q81397","display_name":"Warp drive","level":3,"score":0.29420000314712524},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28110000491142273},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C2780791080","wikidata":"https://www.wikidata.org/wiki/Q273711","display_name":"Einstein field equations","level":3,"score":0.2540999948978424},{"id":"https://openalex.org/C64618476","wikidata":"https://www.wikidata.org/wiki/Q164296","display_name":"Variational method","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5281/zenodo.24035519","doi":"https://doi.org/10.5281/zenodo.24035519","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24035519","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.24035520","doi":"https://doi.org/10.5281/zenodo.24035520","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24035520","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.24041533","doi":"https://doi.org/10.5281/zenodo.24041533","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24041533","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.24121176","doi":"https://doi.org/10.5281/zenodo.24121176","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24121176","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.24035519","doi":"https://doi.org/10.5281/zenodo.24035519","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24035519","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/W7225423989","https://openalex.org/W7223234570","https://openalex.org/W7102636405","https://openalex.org/W7225270995","https://openalex.org/W1506490762","https://openalex.org/W2329111210","https://openalex.org/W7165454234","https://openalex.org/W7117238937","https://openalex.org/W3012996225","https://openalex.org/W6968303473"],"abstract_inverted_index":{"Abstract.":[0],"The":[1,76],"Paper":[2],"and":[3,59],"the":[4,8,11,24,37,40,50,53,60,63,84],"Pen":[5],"framework":[6],"treats":[7],"multiplier":[9],"of":[10,15,39,52,62],"unimodular":[12],"(four-volume-constraint)":[13],"formulation":[14],"gravity":[16],"as":[17],"a":[18,33,44,68,73,80],"signed":[19],"record":[20,55],"variable":[21],"conjugate":[22],"to":[23,90],"accumulated":[25],"four-volume.This":[26],"paper":[27],"establishes":[28],"three":[29],"results":[30],"(B1\u2013B3":[31],"below):":[32],"Poisson":[34],"model":[35],"for":[36],"width":[38,77],"averagedrecord":[41],"density,":[42],"with":[43,67],"canonical":[45],"bound":[46],"on":[47],"its":[48],"coefficient;":[49],"conservation":[51],"total":[54],"in":[56,72],"theunimodular\u2013axion":[57],"action;":[58],"equivalence":[61],"vacuum\u2013axion":[64],"energy":[65],"exchange":[66],"free":[69],"scalarfield":[70],"shifted":[71],"quadratic":[74],"potential.":[75],"coefficient":[78],"is":[79,87],"calibration":[81],"constant,":[82],"so":[83],"observeddark-energy":[85],"scale":[86],"recovered":[88],"up":[89],"that":[91],"calibration,":[92],"not":[93],"predicted.":[94]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-08T00:00:00"}
