Pre-registered confirmatory test of the ψ-GIE Universal Law of Structural Evolution across biological, linguistic, cultural, and artificial systems

Pre-registeredconfirmatorytestoftheψ-GIEUniversalLawofStructuralEvolutionacrossbiological, linguistic,cultural,andartificialsystems Authors: GiovanniEsposito(ORCID:https://orcid.org/0009-0002-5834-030X) Email:[email protected] Dateofpreregistration:24November2025 ZenodoDOI(reserved):10.5281/zenodo.17694192 Thispreregistrationisfrozen.Nohypotheses,metrics,datasets,thresholds,oranalysisstepswillbemodified afterthisdate. 1.Hypotheses(Locked) H1‒Decrystallizationregime(systemsunderincreasedsubsidy) Primary:ΔRCcomp‒25%relativetomatchedconservedbaseline Secondary:ΔRCkmer‒15%,Hrel+12%,Massoc+20% H2‒Crystallizationregime(constrainedinterfaces) Primary:ΔRCcomp+15% Secondary:ΔRCkmer+80%,Massoc60 H3‒Conservationregime Primary:ΔRCcomp+45% Secondary:ΔRCkmer+150% H4‒Universality Thresholdsclassify85%ofpre-specifieddatasetscorrectlyacrossDNA,RNA,naturallanguage,source code,bioacoustics,andculturaltextswithoutdomain-specifictuning. 2.LockedMetrics 1.ΔRCcomp‒gzip-basedrelativecompressioncrystallinity 2.ΔRCkmer‒k-merrigiditychange(k=6biological,k=3linguistic/audio) 3.Hrel‒relativeShannonentropy 4.Massoc‒associativemotifmultiplicity 5.ψ-index‒weightedcomposite(0.4/0.2/0.2/0.2) Implementation:AllanalysiscodeandgenerateddatawillbearchiveddirectlyonZenodounderDOI 10.5281/zenodo.17694192. 3.ConfirmatoryDatasets(Exact) Biological: HAR1region(hg38chr7:5,500,000‒5,502,000) LactaseenhancerENH0008452 HOXD70regulatoryregion GENCODEv44coding/noncodingsets Linguistic&Cultural: Victoriancorpus(ProjectGutenberg,pre-1900) Modernistcorpus(Ulysses,TheWaves) Digital-eracorpus(CommonCrawl2023) Ju|hoanclicklanguagecorpus Hawaiianhistoricalphonologycorpus AnimalCommunication: NightingaleDBv3.1 Humpbackwhale(1971+2023) Vervetalarmcalls Meerkatvocalizations ArtificialSystems: GPT-2→GPT-4continuations(50ktokenseach) Human+AImixedcorpora(ThePilesubsets) AI-onlygenerations 4.AnalysisPlan 1.ComputeallmetricsusingfrozenscriptsarchivedonZenodo. 2.Generate1,000matchednullsequences(uniform,Markov-1/2,PCFG). 3.Correctclassificationrequires:3/5metricsinpredictedthresholdANDrealdataexceeding99th percentileofnulls. 4.H1‒H4confirmedonlyif85%datasetscorrectlyclassified(binomialexacttest,α=0.01). 5.Robustness:multiscalestability(128‒1024tokens),temporalmonotonicity,cross-modalityconsistency. 5.ExclusionCriteria Sequences<1000tokens Genomicgaps>5% Humancorporawith>20%AI-generatedcontent Audio<3secondsduration 6.Blinding Datasetidentifierswillbeencrypted;allmetriccomputationrunsblind. 7.FalsificationCriteria(anyonetriggersrejection) <70%ofdecrystallizingsubstratesshowΔRCcomp‒25% <70%ofconstrainedinterfacesshowΔRCcomp+15% <70%ofconservationsystemsshowΔRCcomp+45% Nulldistributionsoverlap>2domains(MahalanobisD²<4) Multiscaleregressionreversespredicteddirection 8.Data&CodeAvailability AlldataandanalysisscriptswillbearchivedunderZenodoDOI: 10.5281/zenodo.17694192 Noadditionaldatasets,metrics,orexploratoryanalyseswillbeadded. 9.LicenseandAccess CC-BY4.0 Openaccess