{"id":"https://openalex.org/W7225348561","doi":"https://doi.org/10.5281/zenodo.23972956","title":"Derivation from Underlying Dual\u2011Primitive\u2011Element\u2011Degree\u2011of\u2011Freedom Scaling to Emergent Planck Action and Planck's Constant","display_name":"Derivation from Underlying Dual\u2011Primitive\u2011Element\u2011Degree\u2011of\u2011Freedom Scaling to Emergent Planck Action and Planck's Constant","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225348561","doi":"https://doi.org/10.5281/zenodo.23972956"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23972956","doi":"https://doi.org/10.5281/zenodo.23972956","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972956","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","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23972956","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160760699","display_name":"yang liu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"liu, yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160760699"],"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":0.9047999978065491,"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":0.9047999978065491,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.06750000268220901,"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/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":0.017100000753998756,"subfield":{"id":"https://openalex.org/subfields/3105","display_name":"Instrumentation"},"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/planck-constant-derivation","display_name":"Planck constant derivation","score":0.8679999709129333},{"id":"https://openalex.org/keywords/fine-structure-constant","display_name":"fine-structure constant","score":0.7910000085830688},{"id":"https://openalex.org/keywords/vacuum-polarization","display_name":"vacuum polarization","score":0.5849999785423279},{"id":"https://openalex.org/keywords/proton-radius-puzzle","display_name":"proton radius puzzle","score":0.6729999780654907},{"id":"https://openalex.org/keywords/topological-constants","display_name":"topological constants","score":0.4189999997615814}],"concepts":[{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.6909999847412109},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6643000245094299},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5239999890327454},{"id":"https://openalex.org/C197111296","wikidata":"https://www.wikidata.org/wiki/Q122894","display_name":"Planck constant","level":3,"score":0.49570000171661377},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4065000116825104},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.39640000462532043},{"id":"https://openalex.org/C118697519","wikidata":"https://www.wikidata.org/wiki/Q207387","display_name":"Planck length","level":5,"score":0.39559999108314514},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3799999952316284},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3691999912261963},{"id":"https://openalex.org/C181868357","wikidata":"https://www.wikidata.org/wiki/Q468999","display_name":"Planck energy","level":5,"score":0.33000001311302185},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3100000023841858},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.29750001430511475},{"id":"https://openalex.org/C166861157","wikidata":"https://www.wikidata.org/wiki/Q59151","display_name":"Cosmological constant","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.2888000011444092},{"id":"https://openalex.org/C65494353","wikidata":"https://www.wikidata.org/wiki/Q180241","display_name":"Internal energy","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2838999927043915},{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2770000100135803},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C32162014","wikidata":"https://www.wikidata.org/wiki/Q468999","display_name":"Planck time","level":5,"score":0.2667999863624573},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.26420000195503235},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C53105687","wikidata":"https://www.wikidata.org/wiki/Q173227","display_name":"Physical constant","level":2,"score":0.25780001282691956},{"id":"https://openalex.org/C128228380","wikidata":"https://www.wikidata.org/wiki/Q468999","display_name":"Planck mass","level":3,"score":0.2556999921798706}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5281/zenodo.23972956","doi":"https://doi.org/10.5281/zenodo.23972956","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972956","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.23972956","doi":"https://doi.org/10.5281/zenodo.23972956","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23972956","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7108073157","https://openalex.org/W7117423546","https://openalex.org/W7162126347","https://openalex.org/W7162099624","https://openalex.org/W7168285035","https://openalex.org/W7215081371","https://openalex.org/W7129335443","https://openalex.org/W7161497378","https://openalex.org/W7104048962","https://openalex.org/W7125497443"],"abstract_inverted_index":{"This":[0,170,236],"work":[1],"presents":[2],"a":[3,14,27,55,158],"first\u2011principle":[4],"derivation":[5,49],"of":[6,29,63,70,122,128,162,193,210,228,261,278,305],"the":[7,44,52,64,105,111,123,139,194,201,206,219,226,239,279,283,288,294],"emergent":[8],"Planck":[9,65,155,202],"constant":[10,66,142,156,203],"h":[11,229],"based":[12],"on":[13,221,250],"vacuum":[15,196],"primitive\u2011element":[16,84,212],"elastic":[17,41],"cluster":[18,38,222],"model":[19,242],"built":[20],"upon":[21],"four\u2011dimensional":[22],"honeycomb":[23],"topology.":[24,151,197],"Starting":[25],"from":[26,147,205],"set":[28],"physical":[30],"axioms":[31],"including":[32,104],"space\u2011filling":[33],"rigidity,":[34],"particle":[35],"constraint":[36],"topology,":[37],"damping":[39],"and":[40,72,94,110,134,232,254,264],"deformation":[42],"thresholds,":[43],"paper":[45,237],"constructs":[46],"two":[47],"independent":[48,306],"paths":[50],"for":[51,82,90,97,287],"magnification":[53],"coefficient:":[54],"purely":[56],"theoretical":[57,281],"path":[58],"without":[59],"inputting":[60],"experimental":[61,168,307],"values":[62],"or":[67],"measured":[68],"speed":[69],"light,":[71],"an":[73,190,244,276],"observational":[74],"cross\u2011check":[75],"path.":[76],"Two":[77],"distinct":[78],"statistical":[79],"accounting":[80,286],"schemes":[81],"effective":[83],"numbers":[85],"are":[86,116,270],"distinguished:":[87],"physical\u2011particle":[88],"counting":[89,96],"bulk":[91],"spatial":[92],"filling,":[93],"dynamical\u2011mode\u2011degree\u2011of\u2011freedom":[95],"local":[98],"vibrational":[99],"coupling.":[100],"Global":[101],"correction":[102],"coefficients":[103],"mass":[106],"calibration":[107],"factor":[108,114],"A_\\mathrm{mass}":[109],"seven\u2011cavity":[112],"topology":[113],"C_7":[115],"introduced":[117],"to":[118,272],"maintain":[119],"internal":[120,255],"self\u2011consistency":[121,256],"framework.":[124,247],"Through":[125],"layered":[126],"superposition":[127],"core":[129],"compression":[130],"gain,":[131,138],"vacuum\u2011polarization":[132],"gain":[133],"many\u2011body":[135],"synergistic":[136],"interference":[137],"fine\u2011structure\u2011related":[140],"topological":[141],"C_\\mathrm{topo}=137.036":[143],"is":[144,172,291,299],"analytically":[145],"obtained":[146],"double\u2011layer":[148],"spherical":[149],"close\u2011pack":[150],"The":[152],"theoretically":[153],"derived":[154],"yields":[157],"residual":[159],"relative":[160],"deviation":[161],"approximately":[163],"0.92":[164],"%":[165],"compared":[166],"with":[167,267],"measurement.":[169],"offset":[171],"interpreted":[173],"as":[174,243],"systematic":[175,265],"reading":[176],"bias":[177],"caused":[178],"by":[179,302],"outer\u2011layer":[180],"polarization":[181],"cloud":[182],"contamination":[183],"in":[184],"conventional":[185],"mass\u2011radius":[186],"measurements,":[187],"rather":[188],"than":[189],"intrinsic":[191,207],"defect":[192],"underlying":[195,262],"Within":[198],"this":[199],"model,":[200],"originates":[204],"action":[208],"quantity":[209],"dual":[211],"pairing":[213],"units;":[214],"coherent":[215,234],"cluster\u2011interference":[216],"scaling":[217],"cancels":[218],"dependence":[220],"size,":[223],"which":[224],"explains":[225],"universality":[227],"across":[230],"micro\u2011atomic":[231],"macroscopic":[233],"systems.":[235],"adopts":[238],"vacuum\u2011scale\u2011dependent":[240],"field":[241],"established":[245],"working":[246],"It":[248],"focuses":[249],"complete":[251],"analytical":[252],"deduction":[253],"verification,":[257],"while":[258],"in\u2011depth":[259],"justification":[260],"postulates":[263],"comparison":[266],"alternative":[268],"theories":[269],"deferred":[271],"future":[273],"work.":[274],"As":[275],"application":[277],"same":[280],"system,":[282],"vacuum\u2011compression":[284],"mechanism":[285],"proton\u2011radius":[289],"puzzle":[290],"recapitulated,":[292],"where":[293],"optimal":[295],"constrained":[296],"parameter":[297],"\\eta_0'=0.0337":[298],"uniquely":[300],"fixed":[301],"four":[303],"groups":[304],"constraints.":[308]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}
