Endogenous Phase Transitions in Relational Density Fields:From Ontological Assumptions to Hierarchical Transition Models
{"This":[0,83],"paper":[1,84],"begins":[2],"with":[3,72,78],"an":[4],"ontological":[5],"assumption—\\"the":[6],"foundation":[7],"is":[8],"relations\\"—and":[9],"constructs":[10],"a":[11,86,90,94,99],"model":[12,28,64],"of":[13],"endogenous":[14],"phase":[15,69],"transitions":[16,73],"in":[17],"relational":[18],"density":[19],"evolution":[20],"within":[21],"hierarchical":[22],"systems.":[23],"Unlike":[24],"existing":[25],"models,":[26],"this":[27],"does":[29],"not":[30],"rely":[31],"on":[32],"external":[33],"thresholds":[34],"or":[35],"directives.":[36],"Instead,":[37],"it":[38],"takes":[39],"\\"density":[40],"deviation":[41],"from":[42],"equilibrium":[43],"position\\"":[44],"as":[45],"the":[46,63,76,79],"condition":[47],"for":[48,88,102],"transition,":[49],"and":[50,97],"adaptively":[51],"adjusts":[52],"transition":[53,70],"parameters":[54],"according":[55],"to":[56],"inter-level":[57],"differences.":[58],"Numerical":[59],"experiments":[60],"demonstrate":[61],"that":[62],"can":[65],"generate":[66],"self-sustaining,":[67],"intermittent":[68],"events,":[71],"concentrated":[74],"at":[75],"level":[77],"greatest":[80],"initial":[81],"difference.":[82],"offers":[85],"path":[87],"translating":[89],"\\"relational":[91],"ontology\\"":[92],"into":[93],"computable":[95],"model,":[96],"provides":[98],"unified":[100],"tool":[101],"cross-hierarchical":[103],"system":[104],"analysis.":[105]}
Authors
- fuwenju (ORCID: https://orcid.org/0009-0008-7904-1580)
Publication Details
- Journal
- Open Science Framework
- Published
- 2026-09-17
- DOI
- https://doi.org/10.17605/osf.io/qt35c
- Primary Topic
- Theoretical and Computational Physics
- Type
- preprint