{"id":"https://openalex.org/W7225558956","doi":"https://doi.org/10.5281/zenodo.24046652","title":"The Scretching\u2013Planck Vacuum Density and the Yang\u2013Mills Mass Gap","display_name":"The Scretching\u2013Planck Vacuum Density and the Yang\u2013Mills Mass Gap","publication_year":2026,"publication_date":"2026-11-08","ids":{"openalex":"https://openalex.org/W7225558956","doi":"https://doi.org/10.5281/zenodo.24046652"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24046652","doi":"https://doi.org/10.5281/zenodo.24046652","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046652","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.24046652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134268878","display_name":"Daniel Scretching","orcid":"https://orcid.org/0009-0008-9586-2717","observed_orcids":["https://orcid.org/0009-0008-9586-2717"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Scretching, Daniel","raw_affiliation_strings":["Scretching Quantum Press LLC"],"raw_orcid":"https://orcid.org/0009-0008-9586-2717","affiliations":[{"raw_affiliation_string":"Scretching Quantum Press LLC","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5134268878"],"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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.01119999960064888,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/yang-mills-existence-and-mass-gap","display_name":"Yang-Mills mass gap","score":0.9210000038146973},{"id":"https://openalex.org/keywords/logarithmic-sobolev-inequality","display_name":"logarithmic Sobolev inequality","score":0.7919999957084656},{"id":"https://openalex.org/keywords/ricci-curvature-bounds","display_name":"Ricci curvature bounds","score":0.8149999976158142},{"id":"https://openalex.org/keywords/su-2-lattice-gauge-theory","display_name":"SU(2) lattice gauge theory","score":0.8199999928474426},{"id":"https://openalex.org/keywords/percolation","display_name":"percolation","score":0.5699999928474426},{"id":"https://openalex.org/keywords/gaussian-random-fields","display_name":"Gaussian random fields","score":0.4050000011920929},{"id":"https://openalex.org/keywords/continuum-limit","display_name":"continuum limit","score":0.4569999873638153},{"id":"https://openalex.org/keywords/yang-mills-theory","display_name":"Yang-Mills theory","score":0.5189999938011169}],"concepts":[{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.7871000170707703},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6137999892234802},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5864999890327454},{"id":"https://openalex.org/C2777925532","wikidata":"https://www.wikidata.org/wiki/Q5357201","display_name":"Mass gap","level":2,"score":0.5663999915122986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5504999756813049},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5282999873161316},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5238000154495239},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5062000155448914},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.4699000120162964},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.4510999917984009},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.44929999113082886},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4456000030040741},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3693000078201294},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3555000126361847},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34779998660087585},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.3474999964237213},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C89464430","wikidata":"https://www.wikidata.org/wiki/Q849516","display_name":"Metastability","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2533999979496002}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24046652","doi":"https://doi.org/10.5281/zenodo.24046652","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046652","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.24046653","doi":"https://doi.org/10.5281/zenodo.24046653","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046653","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.24046652","doi":"https://doi.org/10.5281/zenodo.24046652","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24046652","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/W7225589310","https://openalex.org/W7223445872","https://openalex.org/W7225294995","https://openalex.org/W7223472805","https://openalex.org/W7223793657","https://openalex.org/W7223471034","https://openalex.org/W7211934159","https://openalex.org/W7134058426","https://openalex.org/W7133234440","https://openalex.org/W7223797265"],"abstract_inverted_index":{"This":[0,72],"paper":[1,34,182],"expresses":[2],"the":[3,11,17,20,28,36,55,58,68,84,94,116,131,137,171,184,199,213],"finite-lattice":[4],"Kogut\u2013Susskind":[5],"spectral":[6,31],"gap":[7,219],"in":[8,38,54,149,195],"terms":[9],"of":[10,52,130,168],"Scretching\u2013Planck":[12],"(SP)":[13],"vacuum":[14,86],"density.":[15],"In":[16,170],"unit-sphere":[18],"metric,":[19],"ground-state":[21],"transformation":[22],"gives":[23,67],"\\(\\Delta=(g^2/8a)\\lambda_{\\mathrm{unit}}(P_0)\\),":[24],"where":[25],"\\(\\lambda_{\\mathrm{unit}}(P_0)\\)":[26],"is":[27,140],"optimal":[29],"Poincar\u00e9":[30,75],"constant.":[32],"The":[33,88,155,181,201],"checks":[35],"identity":[37],"a":[39,63,102,111,165,191,208],"double-well":[40],"model":[41],"and":[42,76,110,152,163,212,218],"an":[43],"exactly":[44],"solvable":[45],"one-plaquette":[46],"\\(SU(2)\\)":[47,60,156],"model,":[48],"with":[49,160],"relative":[50],"agreement":[51],"\\(3\\times10^{-5}\\)":[53],"latter.":[56],"For":[57],"four-dimensional":[59,215],"Wilson":[61],"measure,":[62],"plaquette":[64],"Hessian":[65],"estimate":[66,123],"curvature":[69,106],"bound":[70,107,194],"\\(\\operatorname{Ric}+\\operatorname{Hess}U\\ge(2-24\\beta)I\\).":[71],"yields":[73],"volume-uniform":[74],"log-Sobolev":[77],"bounds":[78],"for":[79,124,207],"\\(\\beta<1/12\\)":[80],"that":[81],"pass":[82],"to":[83,91,177],"transfer-matrix":[85],"slice.":[87],"range":[89],"extends":[90],"\\(\\beta<0.0908\\)":[92],"under":[93],"stated":[95],"Otto\u2013Reznikoff":[96],"assumption.":[97],"Explicit":[98],"configurations":[99],"rule":[100],"out":[101],"uniformly":[103],"positive":[104,146,209],"single-scale":[105],"beyond":[108],"\\(\\beta=1/3\\),":[109],"separate":[112],"numerical":[113,205],"calculation":[114],"places":[115],"obstruction":[117],"near":[118,179],"\\(\\beta=0.238\\).":[119],"An":[120],"iterated":[121],"two-scale":[122],"Gaussian":[125],"fields":[126],"shows":[127],"how":[128],"powers":[129],"correlation":[132],"length":[133],"are":[134,158],"lost":[135],"unless":[136],"free":[138],"flow":[139],"treated":[141],"exactly.":[142],"Lattice":[143],"calculations":[144],"report":[145],"scalar-channel":[147],"gaps":[148],"\\(SU(2)\\),":[150],"\\(SU(3)\\),":[151],"\\(SU(2)\\)\u2013Higgs":[153],"theory.":[154],"data":[157],"consistent":[159],"two-loop":[161],"scaling":[162],"give":[164],"continuum":[166,210],"extrapolation":[167],"\\(\\Delta/\\sqrt{\\sigma}=3.96(27)\\).":[169],"sampled":[172],"ensembles,":[173],"large-field":[174],"regions":[175],"cease":[176],"percolate":[178],"\\(\\varepsilon_*\\approx0.48g^2\\).":[180],"states":[183],"remaining":[185],"multiscale":[186],"step":[187],"as":[188],"Conjecture":[189],"C,":[190],"uniform":[192],"lower":[193],"physical":[196],"units":[197],"across":[198],"crossover.":[200],"lattice":[202],"results":[203],"provide":[204],"evidence":[206],"gap,":[211],"rigorous":[214],"Yang\u2013Mills":[216],"construction":[217],"proof":[220],"remain":[221],"open.":[222]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-11-09T00:00:00"}