{"id":"https://openalex.org/W7225656985","doi":"https://doi.org/10.1140/epjp/s13360-026-08474-y","title":"Using the Mach\u2013Sciama theory of gravitation to study dark-sector interactions and the cosmic coincidence problem","display_name":"Using the Mach\u2013Sciama theory of gravitation to study dark-sector interactions and the cosmic coincidence problem","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225656985","doi":"https://doi.org/10.1140/epjp/s13360-026-08474-y"},"language":"en","primary_location":{"id":"doi:10.1140/epjp/s13360-026-08474-y","doi":"https://doi.org/10.1140/epjp/s13360-026-08474-y","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-026-08474-y","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-026-08474-y.pdf","source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Plus","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-026-08474-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036122512","display_name":"A. M. Vel\u00e1squez-Toribio","orcid":"https://orcid.org/0000-0002-2345-3999","observed_orcids":["https://orcid.org/0000-0002-2345-3999"]},"institutions":[{"id":"https://openalex.org/I51235708","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28","country_code":"BR","type":"education","lineage":["https://openalex.org/I51235708"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"A. M. Vel\u00e1squez-Toribio","raw_affiliation_strings":["Center for Astrophysics and Cosmology, Federal University of Esp\u00edrito Santo, Vit\u00f3ria, ES, 29075-910, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-2345-3999","affiliations":[{"raw_affiliation_string":"Center for Astrophysics and Cosmology, Federal University of Esp\u00edrito Santo, Vit\u00f3ria, ES, 29075-910, Brazil","institution_ids":["https://openalex.org/I51235708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036122512"],"corresponding_institution_ids":["https://openalex.org/I51235708"],"apc_list":{"value":3890,"currency":"USD","value_usd":3890},"apc_paid":{"value":3890,"currency":"USD","value_usd":3890},"fwci":0.0,"has_fulltext":true,"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":"141","issue":"11","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":0.9994999766349792,"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":0.9994999766349792,"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/T11090","display_name":"Dark Matter and Cosmic Phenomena","score":9.999999747378752e-05,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dark-energy-dark-matter-interaction","display_name":"interacting dark energy","score":0.8309999704360962},{"id":"https://openalex.org/keywords/cosmic-coincidence-problem","display_name":"coincidence problem","score":0.9279999732971191},{"id":"https://openalex.org/keywords/cold-dark-matter","display_name":"cold dark matter","score":0.8159999847412109},{"id":"https://openalex.org/keywords/scalar-tensor-gravity","display_name":"scalar-tensor gravity","score":0.6769999861717224},{"id":"https://openalex.org/keywords/autonomous-dynamical-systems","display_name":"autonomous dynamical systems","score":0.7839999794960022},{"id":"https://openalex.org/keywords/attractors","display_name":"attractors","score":0.5799999833106995},{"id":"https://openalex.org/keywords/effective-gravitational-coupling","display_name":"effective gravitational coupling","score":0.8270000219345093},{"id":"https://openalex.org/keywords/tachyonic-instability","display_name":"tachyonic instability","score":0.7630000114440918},{"id":"https://openalex.org/keywords/exponential-potential","display_name":"exponential potential","score":0.5180000066757202}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8537999987602234},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.7534000277519226},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7132999897003174},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5633999705314636},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.555899977684021},{"id":"https://openalex.org/C66157390","wikidata":"https://www.wikidata.org/wiki/Q7429682","display_name":"Scalar field dark matter","level":4,"score":0.5175999999046326},{"id":"https://openalex.org/C126320844","wikidata":"https://www.wikidata.org/wiki/Q1153477","display_name":"Cold dark matter","level":3,"score":0.510200023651123},{"id":"https://openalex.org/C159249277","wikidata":"https://www.wikidata.org/wiki/Q79925","display_name":"Dark matter","level":2,"score":0.49480000138282776},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.43959999084472656},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.38929998874664307},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3626999855041504},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C29761201","wikidata":"https://www.wikidata.org/wiki/Q5223514","display_name":"Dark fluid","level":4,"score":0.34790000319480896},{"id":"https://openalex.org/C118534291","wikidata":"https://www.wikidata.org/wiki/Q692197","display_name":"Lambda-CDM model","level":4,"score":0.33550000190734863},{"id":"https://openalex.org/C31836371","wikidata":"https://www.wikidata.org/wiki/Q1856609","display_name":"Scalar potential","level":2,"score":0.3228999972343445},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3098999857902527},{"id":"https://openalex.org/C117210361","wikidata":"https://www.wikidata.org/wiki/Q4421540","display_name":"Scalar theories of gravitation","level":4,"score":0.30660000443458557},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3050999939441681},{"id":"https://openalex.org/C141629334","wikidata":"https://www.wikidata.org/wiki/Q3266751","display_name":"f(R) gravity","level":4,"score":0.2888999879360199},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.26499998569488525}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1140/epjp/s13360-026-08474-y","doi":"https://doi.org/10.1140/epjp/s13360-026-08474-y","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-026-08474-y","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-026-08474-y.pdf","source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Plus","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1140/epjp/s13360-026-08474-y","doi":"https://doi.org/10.1140/epjp/s13360-026-08474-y","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-026-08474-y","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-026-08474-y.pdf","source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal Plus","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320323682","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa e Inova\u00e7\u00e3o do Esp\u00edrito Santo","ror":"https://ror.org/03cen2c33"},{"id":"https://openalex.org/F4320331556","display_name":"Universidade Federal do Esp\u00edrito Santo","ror":"https://ror.org/05sxf4h28"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225656985.pdf","grobid_xml":"https://content.openalex.org/works/W7225656985.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1511245743","https://openalex.org/W1639566785","https://openalex.org/W1980067733","https://openalex.org/W1989972931","https://openalex.org/W2001275750","https://openalex.org/W2029917821","https://openalex.org/W2032901690","https://openalex.org/W2069644524","https://openalex.org/W2112233018","https://openalex.org/W2140074232","https://openalex.org/W2156029646","https://openalex.org/W2165174996","https://openalex.org/W2168061228","https://openalex.org/W2323263137","https://openalex.org/W2904698206","https://openalex.org/W3037508136","https://openalex.org/W3038061952","https://openalex.org/W4281668510","https://openalex.org/W4282961335","https://openalex.org/W4306850861","https://openalex.org/W4319304560","https://openalex.org/W4321483640","https://openalex.org/W4381620598","https://openalex.org/W4410636511","https://openalex.org/W7162755209"],"related_works":["https://openalex.org/W2042796893","https://openalex.org/W2261762058","https://openalex.org/W2014864868","https://openalex.org/W2792665296","https://openalex.org/W2751094558","https://openalex.org/W3082380394","https://openalex.org/W2124393202","https://openalex.org/W2106798986","https://openalex.org/W2045199142","https://openalex.org/W2962757454"],"abstract_inverted_index":{"Abstract":[0],"We":[1,94,128],"propose":[2],"a":[3,23,41,84,153,168,196],"minimal":[4],"interacting":[5,204],"dark-sector":[6],"model":[7,28],"in":[8,31,140],"which":[9,115],"the":[10,36,52,62,67,72,78,90,96,102,125,131,144,164,173,177,182,201],"coupling":[11,39,157],"between":[12],"cold":[13,116,136],"dark":[14,18,117,121,137],"matter":[15,38,69,118,138],"and":[16,45,106,119,158],"scalar":[17,53,63,92,120,146,165,190],"energy":[19,48,122],"is":[20,29,80],"fixed":[21],"by":[22,51,66],"Mach\u2013Sciama":[24,56,202],"selection":[25],"rule.":[26],"The":[27,55,148],"formulated":[30],"frame-invariant":[32],"scalar-tensor":[33],"variables,":[34],"where":[35],"invariant":[37],"induces":[40],"scalar-dependent":[42],"dark-matter":[43],"mass,":[44],"hence,":[46],"an":[47,159],"transfer":[49],"controlled":[50],"velocity.":[54],"prescription":[57],"selects":[58],"this":[59],"velocity":[60],"as":[61,83],"response":[64],"sourced":[65],"cosmological":[68,104],"distribution,":[70],"with":[71],"independent":[73],"source-free":[74],"mode":[75],"removed.":[76],"Thus,":[77],"interaction":[79],"not":[81,186],"introduced":[82],"phenomenological":[85],"ansatz,":[86],"but":[87],"follows":[88],"from":[89],"selected":[91,203],"dynamics.":[93],"study":[95,130],"autonomous":[97],"dynamical":[98],"system":[99],"relevant":[100],"to":[101,188],"present":[103],"epoch":[105],"show":[107],"that":[108],"it":[109],"admits":[110],"stable":[111],"accelerated":[112],"attractors":[113],"for":[114,172],"remain":[123],"of":[124,135,200],"same":[126],"order.":[127],"also":[129],"sub-horizon":[132],"linear":[133,183],"growth":[134,150,191],"perturbations":[139],"Newtonian":[141],"gauge,":[142],"including":[143],"coupled":[145],"fluctuation.":[147],"resulting":[149],"equation":[151],"contains":[152],"scale-dependent":[154],"effective":[155,170],"gravitational":[156],"interaction-dependent":[160],"friction":[161],"term,":[162],"while":[163],"perturbation":[166],"has":[167],"positive":[169],"mass":[171],"exponential":[174],"potential.":[175],"For":[176],"representative":[178],"attractor":[179],"considered":[180],"here,":[181],"coefficients":[184],"do":[185],"lead":[187],"tachyonic":[189],"or":[192],"anti-friction":[193],"enhancement,":[194],"providing":[195],"first":[197],"consistency":[198],"check":[199],"model.":[205]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}