{"id":"https://openalex.org/W7224990396","doi":"https://doi.org/10.5281/zenodo.23829760","title":"Topological Irreversibility and Phase Divergence in Helical Conjugate Wave Systems","display_name":"Topological Irreversibility and Phase Divergence in Helical Conjugate Wave Systems","publication_year":2026,"publication_date":"2026-10-31","ids":{"openalex":"https://openalex.org/W7224990396","doi":"https://doi.org/10.5281/zenodo.23829760"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23829760","doi":"https://doi.org/10.5281/zenodo.23829760","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23829760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159625525","display_name":"Retnakaran Saraswathy Prasanth","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Prasanth, Retnakaran Saraswathy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5159625525"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.8920999765396118,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.8920999765396118,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.04619999974966049,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.04610000178217888,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry-breaking-bifurcation","display_name":"symmetry-breaking bifurcation","score":0.8610000014305115},{"id":"https://openalex.org/keywords/vacuum-phase","display_name":"vacuum phase","score":0.6389999985694885},{"id":"https://openalex.org/keywords/scale-hierarchy","display_name":"scale hierarchy","score":0.6330000162124634},{"id":"https://openalex.org/keywords/origin-of-the-universe","display_name":"origin of the universe","score":0.6430000066757202}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7006000280380249},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5565999746322632},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5447999835014343},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.5001999735832214},{"id":"https://openalex.org/C45542137","wikidata":"https://www.wikidata.org/wiki/Q381040","display_name":"Complex conjugate","level":2,"score":0.4781000018119812},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.44429999589920044},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4277999997138977},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.39489999413490295},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.3873000144958496},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3709999918937683},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.36719998717308044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36489999294281006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35659998655319214},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.3562999963760376},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3529999852180481},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27970001101493835},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2759999930858612},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.2711000144481659},{"id":"https://openalex.org/C2776716506","wikidata":"https://www.wikidata.org/wiki/Q5161158","display_name":"Conjugate points","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.25529998540878296},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.25110000371932983},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23829760","doi":"https://doi.org/10.5281/zenodo.23829760","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23829761","doi":"https://doi.org/10.5281/zenodo.23829761","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829761","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23829760","doi":"https://doi.org/10.5281/zenodo.23829760","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23829760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7203660583","https://openalex.org/W7165451085","https://openalex.org/W7214529875","https://openalex.org/W7167425203","https://openalex.org/W7163743681","https://openalex.org/W7202352581","https://openalex.org/W7213399363","https://openalex.org/W7204623958","https://openalex.org/W7225002256","https://openalex.org/W7171665343"],"abstract_inverted_index":{"In":[0],"standard":[1],"continuous":[2],"wave":[3,63],"mechanics,":[4],"periodic":[5],"systems":[6],"admit":[7],"closed-loop":[8],"recurrenceswhere":[9],"phase":[10],"states":[11],"re-intersect":[12],"their":[13],"origin.":[14],"However,":[15],"within":[16],"the":[17,22,52,61,68,74,77],"Binary":[18],"Vacuum":[19,31,36],"Paradox(BVP)":[20],"framework,":[21],"Universe":[23],"emerges":[24],"from":[25],"a":[26,35,42],"symmetry-breaking":[27,70],"bifurcation":[28],"between":[29],"acoupled":[30],"Phase":[32,38],"(\u03a8B)":[33],"and":[34,57,81],"Conjugate":[37],"(\u03a8C)":[39],"evolving":[40],"along":[41],"chiralhelical":[43],"manifold.":[44],"This":[45],"paper":[46],"demonstrates":[47],"analytically":[48],"that":[49],"due":[50],"to":[51],"orthogonality":[53],"betweenexponential":[54],"radial":[55],"expansion":[56],"invariant":[58],"axial":[59],"pitch,":[60],"conjugate":[62],"system":[64],"exhibitstopological":[65],"unreachability":[66],"of":[67],"initial":[69],"point.":[71],"We":[72],"derive":[73],"phase-driftequations,":[75],"establish":[76],"mismatch":[78],"parameter":[79],"evolution,":[80],"demonstrate":[82],"how":[83],"this":[84],"geometricisolation":[85],"generates":[86],"natural":[87],"scale":[88],"hierarchies":[89],"without":[90],"arbitrary":[91],"fine-tuning":[92]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2026-11-01T00:00:00"}