{"id":"https://openalex.org/W7204178618","doi":"https://doi.org/10.2139/ssrn.7334641","title":"The Informational Hessian: A Geometric Stability Operator for Viscous Time Theory","display_name":"The Informational Hessian: A Geometric Stability Operator for Viscous Time Theory","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7204178618","doi":"https://doi.org/10.2139/ssrn.7334641"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.7334641","doi":"https://doi.org/10.2139/ssrn.7334641","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7334641","pdf_url":"https://doi.org/10.2139/ssrn.7334641","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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://doi.org/10.2139/ssrn.7334641","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/T14299","display_name":"Complex Systems and Dynamics","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T14299","display_name":"Complex Systems and Dynamics","score":0.9951000213623047,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.00039999998989515007,"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/viscous-time-theory","display_name":"Viscous Time Theory","score":0.9959999918937683},{"id":"https://openalex.org/keywords/stability-operator","display_name":"stability operator","score":0.5479999780654907},{"id":"https://openalex.org/keywords/informational-potential","display_name":"informational potential","score":0.8050000071525574},{"id":"https://openalex.org/keywords/early-warning-indicators","display_name":"early warning indicators","score":0.414000004529953},{"id":"https://openalex.org/keywords/soft-mode","display_name":"soft mode","score":0.5720000267028809},{"id":"https://openalex.org/keywords/saddle-points","display_name":"saddle points","score":0.5139999985694885},{"id":"https://openalex.org/keywords/basins-of-attraction","display_name":"basins of attraction","score":0.6039999723434448},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6420000195503235},{"id":"https://openalex.org/keywords/variational-model","display_name":"variational model","score":0.5410000085830688}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8410999774932861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6444000005722046},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.47380000352859497},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44830000400543213},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.42820000648498535},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.41530001163482666},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4108999967575073},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4106000065803528},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4020000100135803},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.39250001311302185},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.382099986076355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3743000030517578},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.36800000071525574},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.31130000948905945},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2800999879837036},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27160000801086426},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.7334641","doi":"https://doi.org/10.2139/ssrn.7334641","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7334641","pdf_url":"https://doi.org/10.2139/ssrn.7334641","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.7334641","doi":"https://doi.org/10.2139/ssrn.7334641","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.7334641","pdf_url":"https://doi.org/10.2139/ssrn.7334641","source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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/W7204178618.pdf","grobid_xml":"https://content.openalex.org/works/W7204178618.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W420509224","https://openalex.org/W1575147392","https://openalex.org/W2016767879","https://openalex.org/W2038516800","https://openalex.org/W2116199452","https://openalex.org/W2479184029","https://openalex.org/W2485135680","https://openalex.org/W2896405912"],"related_works":["https://openalex.org/W7216321245","https://openalex.org/W4416615264","https://openalex.org/W7203787466","https://openalex.org/W7130689176","https://openalex.org/W7131374269","https://openalex.org/W7165889651","https://openalex.org/W6949763266","https://openalex.org/W6912275849","https://openalex.org/W7122657893","https://openalex.org/W7161005961"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-08-26T00:00:00"}
