{"id":"https://openalex.org/W4416615264","doi":"https://doi.org/10.20944/preprints202511.1848.v1","title":"Viscous Time Theory (VTT) Foundational Mathematics (Part 1): Variational Origin of Informational Geometry, Coherence Curvature, and the VTT Lagrangian","display_name":"Viscous Time Theory (VTT) Foundational Mathematics (Part 1): Variational Origin of Informational Geometry, Coherence Curvature, and the VTT Lagrangian","publication_year":2025,"publication_date":"2025-11-24","ids":{"openalex":"https://openalex.org/W4416615264","doi":"https://doi.org/10.20944/preprints202511.1848.v1"},"language":"en","primary_location":{"id":"doi:10.20944/preprints202511.1848.v1","doi":"https://doi.org/10.20944/preprints202511.1848.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202511.1848.v1","pdf_url":"https://www.preprints.org/frontend/manuscript/2600e4909f7e2494a5cdf6b6d0d4bdbe/download_pub","source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.preprints.org/frontend/manuscript/2600e4909f7e2494a5cdf6b6d0d4bdbe/download_pub","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119611182","display_name":"Raoul Bianchetti","orcid":"https://orcid.org/0009-0001-4217-9438","observed_orcids":["https://orcid.org/0009-0001-4217-9438"]},"institutions":[{"id":"https://openalex.org/I4405261838","display_name":"Information Physics Institute","ror":"https://ror.org/05y04vm71","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4405261838"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Raoul Bianchetti","raw_affiliation_strings":["Information Physics Institute Gosport , Hampshire , United Kingdom;"],"raw_orcid":"https://orcid.org/0009-0001-4217-9438","affiliations":[{"raw_affiliation_string":"Information Physics Institute Gosport , Hampshire , United Kingdom;","institution_ids":["https://openalex.org/I4405261838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5119611182"],"corresponding_institution_ids":["https://openalex.org/I4405261838"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.7378000020980835,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.7378000020980835,"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":0.1476999968290329,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.0812000036239624,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/viscous-time-theory","display_name":"Viscous Time Theory","score":0.9980000257492065},{"id":"https://openalex.org/keywords/emergent-spacetime-geometry","display_name":"emergent spacetime geometry","score":0.8970000147819519},{"id":"https://openalex.org/keywords/information-geometry","display_name":"information geometry","score":0.6809999942779541},{"id":"https://openalex.org/keywords/variational-principle","display_name":"variational principle","score":0.8849999904632568},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6930000185966492},{"id":"https://openalex.org/keywords/emergent-metric","display_name":"emergent metric","score":0.7820000052452087},{"id":"https://openalex.org/keywords/raychaudhuri-equation","display_name":"Raychaudhuri equation","score":0.8960000276565552}],"concepts":[{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.6251999735832214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5716000199317932},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.545199990272522},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.5087000131607056},{"id":"https://openalex.org/C8466233","wikidata":"https://www.wikidata.org/wiki/Q757269","display_name":"Metric tensor","level":3,"score":0.41200000047683716},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3822999894618988},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3626999855041504},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.34630000591278076},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.3431999981403351},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.3206000030040741},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3125999867916107},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28859999775886536},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2874000072479248},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.20944/preprints202511.1848.v1","doi":"https://doi.org/10.20944/preprints202511.1848.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202511.1848.v1","pdf_url":"https://www.preprints.org/frontend/manuscript/2600e4909f7e2494a5cdf6b6d0d4bdbe/download_pub","source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.20944/preprints202511.1848.v1","doi":"https://doi.org/10.20944/preprints202511.1848.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202511.1848.v1","pdf_url":"https://www.preprints.org/frontend/manuscript/2600e4909f7e2494a5cdf6b6d0d4bdbe/download_pub","source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416615264.pdf","grobid_xml":"https://content.openalex.org/works/W4416615264.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1970564715","https://openalex.org/W2282901172"],"related_works":["https://openalex.org/W7115198212","https://openalex.org/W7131667930","https://openalex.org/W7130689176","https://openalex.org/W7131374269","https://openalex.org/W7128704189","https://openalex.org/W6930765595","https://openalex.org/W7203787466","https://openalex.org/W6912275849","https://openalex.org/W6949763266","https://openalex.org/W7092360359"],"abstract_inverted_index":{"We":[0,20],"propose":[1],"a":[2,22,38,66,82,88,132],"mathematical":[3],"framework":[4],"for":[5,25,161],"Viscous":[6],"Time":[7],"Theory":[8],"(VTT),":[9],"exploring":[10],"how":[11],"spacetime":[12],"geometry":[13],"could":[14],"emerge":[15],"from":[16],"discrete":[17,33],"informational":[18,27,34,52,96,119,137,143],"events.":[19],"formulate":[21],"variational":[23],"principle":[24],"an":[26,51],"coherence":[28,41,53,85,108],"field":[29,109],"\u03a6,":[30],"constrained":[31],"by":[32,95],"anchors,":[35],"and":[36,43,60,87,110,148,153],"derive":[37],"Lagrangian":[39],"governing":[40],"propagation":[42],"dissipation.":[44],"From":[45],"its":[46],"second":[47],"variation,":[48],"we":[49],"introduce":[50],"tensor":[54],"DeltaC_{mu":[55],"nu}":[56],"that":[57,124],"is":[58,79,92],"symmetric":[59],"positive-semidefinite,":[61],"enabling":[62],"the":[63,107,111],"definition":[64],"of":[65,106,113,136,145],"candidate":[67],"emergent":[68],"metric":[69],"g_{mu":[70],"nu}^{(C)}":[71],"without":[72],"presupposing":[73],"geometry.":[74],"Within":[75],"this":[76],"framework,":[77],"curvature":[78,115,146],"interpreted":[80],"as":[81,131,159],"response":[83],"to":[84,151],"gradients,":[86],"Raychaudhuri-type":[89],"focusing":[90],"identity":[91],"obtained,":[93],"parameterized":[94],"viscosity":[97],"\u03b7.":[98],"A":[99],"preliminary":[100],"discrete-to-continuum":[101],"numerical":[102],"demonstration":[103],"supports":[104],"convergence":[105],"appearance":[112],"non-trivial":[114],"patterns":[116],"under":[117],"sparse":[118],"constraints.":[120],"These":[121],"results":[122],"suggest":[123],"classical":[125],"geometric":[126],"structure":[127],"may":[128],"be":[129],"understood":[130],"stable":[133],"organizational":[134],"property":[135],"interactions.":[138],"Possible":[139],"implications":[140],"\u2013":[141,156],"including":[142],"interpretations":[144],"phenomena":[147],"future":[149],"coupling":[150],"biological":[152],"physical":[154],"systems":[155],"are":[157],"outlined":[158],"directions":[160],"further":[162],"investigation.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2025-11-25T00:00:00"}
