{"id":"https://openalex.org/W7225465975","doi":"https://doi.org/10.59973/ipil.444","title":"Emergence of Spatial Structure From a Logical Substrate","display_name":"Emergence of Spatial Structure From a Logical Substrate","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225465975","doi":"https://doi.org/10.59973/ipil.444"},"language":"en","primary_location":{"id":"doi:10.59973/ipil.444","doi":"https://doi.org/10.59973/ipil.444","is_oa":true,"landing_page_url":"https://doi.org/10.59973/ipil.444","pdf_url":"https://ipipublishing.org/index.php/ipil/article/download/444/239","source":{"id":"https://openalex.org/S4387290810","display_name":"IPI Letters","issn_l":"2976-730X","issn":["2976-730X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/I4405261838","host_organization_name":"Information Physics Institute","host_organization_lineage":["https://openalex.org/I4405261838"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IPI Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ipipublishing.org/index.php/ipil/article/download/444/239","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090885201","display_name":"Yves Kocher","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405261838","display_name":"Information Physics Institute","ror":"https://ror.org/05y04vm71","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4405261838"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yves Kocher","raw_affiliation_strings":["Information Physics Institute, Gosport, Hampshire, UK - www.informationphysicsinstitute.org"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Physics Institute, Gosport, Hampshire, UK - www.informationphysicsinstitute.org","institution_ids":["https://openalex.org/I4405261838"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090885201"],"corresponding_institution_ids":["https://openalex.org/I4405261838"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"68","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9940999746322632,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9940999746322632,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.0035000001080334187,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.0005000000237487257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-geometry","display_name":"quantum geometry","score":0.8080000281333923},{"id":"https://openalex.org/keywords/immirzi-parameter","display_name":"Immirzi parameter","score":0.843999981880188},{"id":"https://openalex.org/keywords/no-go-theorem","display_name":"no-go theorem","score":0.753000020980835},{"id":"https://openalex.org/keywords/flat-space","display_name":"flat space","score":0.42800000309944153},{"id":"https://openalex.org/keywords/born-rule","display_name":"Born rule","score":0.7870000004768372},{"id":"https://openalex.org/keywords/entropy-information-theory","display_name":"entropy (information theory)","score":0.4729999899864197},{"id":"https://openalex.org/keywords/neutrino-mass","display_name":"neutrino mass","score":0.753000020980835},{"id":"https://openalex.org/keywords/cp-violation","display_name":"CP violation","score":0.6850000023841858},{"id":"https://openalex.org/keywords/gauge-action","display_name":"gauge action","score":0.7319999933242798},{"id":"https://openalex.org/keywords/unification","display_name":"unification","score":0.49799999594688416},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.550000011920929},{"id":"https://openalex.org/keywords/emergent-space","display_name":"emergent space","score":0.45899999141693115},{"id":"https://openalex.org/keywords/lieb-robinson-velocity","display_name":"Lieb-Robinson velocity","score":0.41200000047683716},{"id":"https://openalex.org/keywords/spacetime-signature","display_name":"spacetime signature","score":0.3930000066757202},{"id":"https://openalex.org/keywords/lieb-robinson-bound","display_name":"Lieb-Robinson bound","score":0.43299999833106995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6132000088691711},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4936000108718872},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.49160000681877136},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.46459999680519104},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4472000002861023},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43720000982284546},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4327999949455261},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.3481999933719635},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3456999957561493},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3425999879837036},{"id":"https://openalex.org/C70662872","wikidata":"https://www.wikidata.org/wiki/Q766202","display_name":"Vacuum state","level":2,"score":0.33660000562667847},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.33640000224113464},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3296999931335449},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3181999921798706},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.3118000030517578},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.31119999289512634},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3091999888420105},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2921000123023987},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.266400009393692},{"id":"https://openalex.org/C90738871","wikidata":"https://www.wikidata.org/wiki/Q41642869","display_name":"Configuration space","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2531999945640564},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.59973/ipil.444","doi":"https://doi.org/10.59973/ipil.444","is_oa":true,"landing_page_url":"https://doi.org/10.59973/ipil.444","pdf_url":"https://ipipublishing.org/index.php/ipil/article/download/444/239","source":{"id":"https://openalex.org/S4387290810","display_name":"IPI Letters","issn_l":"2976-730X","issn":["2976-730X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/I4405261838","host_organization_name":"Information Physics Institute","host_organization_lineage":["https://openalex.org/I4405261838"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IPI Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.59973/ipil.444","doi":"https://doi.org/10.59973/ipil.444","is_oa":true,"landing_page_url":"https://doi.org/10.59973/ipil.444","pdf_url":"https://ipipublishing.org/index.php/ipil/article/download/444/239","source":{"id":"https://openalex.org/S4387290810","display_name":"IPI Letters","issn_l":"2976-730X","issn":["2976-730X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/I4405261838","host_organization_name":"Information Physics Institute","host_organization_lineage":["https://openalex.org/I4405261838"],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IPI Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225465975.pdf","grobid_xml":"https://content.openalex.org/works/W7225465975.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1931954910","https://openalex.org/W1965411513","https://openalex.org/W1969649931","https://openalex.org/W1992723105","https://openalex.org/W1994413830","https://openalex.org/W2002954796","https://openalex.org/W2006638080","https://openalex.org/W2013180789","https://openalex.org/W2020389881","https://openalex.org/W2029339103","https://openalex.org/W2056760934","https://openalex.org/W2064185701","https://openalex.org/W2066750691","https://openalex.org/W2067931892","https://openalex.org/W2077470755","https://openalex.org/W2091628548","https://openalex.org/W2098261606","https://openalex.org/W2167848120","https://openalex.org/W2172949211","https://openalex.org/W2267893119","https://openalex.org/W2904517109","https://openalex.org/W3023230937","https://openalex.org/W3084160267","https://openalex.org/W4233798822","https://openalex.org/W4238804566","https://openalex.org/W4244716531","https://openalex.org/W4406081375","https://openalex.org/W4406169147","https://openalex.org/W4414860802","https://openalex.org/W7162392857","https://openalex.org/W7213644978"],"related_works":["https://openalex.org/W3009917480","https://openalex.org/W4412062076","https://openalex.org/W6968370401","https://openalex.org/W7107975354","https://openalex.org/W7142793017","https://openalex.org/W7203872555","https://openalex.org/W2798436062","https://openalex.org/W7215981022","https://openalex.org/W7115072817","https://openalex.org/W4410491281"],"abstract_inverted_index":{"This":[0,251],"work":[1],"shows":[2],"how":[3],"the":[4,37,39,43,56,61,68,107,120,134,152,159,183,204,211,222,225,233,242,249,256,272,276,297,323,332,336,348,353,361,367,373,383,386,394,397,401,405,415,430,444],"kinematic":[5],"framework":[6],"of":[7,34,45,60,97,103,110,161,171,182,227,235,262,275,300,338,355,366,372,385],"a":[8,13,31,65,85,94,214,219,245,285,290,301,369,425,448],"quantum":[9,35],"geometry":[10],"follows":[11],"from":[12,25,55,199],"logical":[14],"substrate,":[15],"and":[16,42,84,151,176,201,221,230,314,344,352,379,393],"bounds":[17],"by":[18,129,132,358,404],"two":[19,79],"no-go":[20],"theorems":[21],"what":[22],"cannot":[23,163],"follow":[24,198],"it.":[26],"It":[27],"does":[28,203],"not":[29,89,131,254,307,329],"propose":[30],"competing":[32],"theory":[33],"gravity:":[36],"group,":[38],"state":[40],"space":[41,111,137,148],"unit":[44],"horizon":[46],"counting,":[47],"one":[48,173,293],"bit":[49],"per":[50],"face,":[51],"are":[52,112,278,327,420],"obtained":[53],"here":[54],"substrate.":[57],"The":[58,71,190,303,309,375],"value":[59,402],"Immirzi":[62],"parameter":[63],"requires":[64],"horizon,":[66],"hence":[67],"next":[69,416,431],"levels.":[70,417],"minimal":[72],"grain":[73,121,277,398],"has":[74,122,360],"four":[75,123],"configurations,":[76,237],"realised":[77],"as":[78,280],"binary":[80],"distinctions.":[81],"A":[82,207],"toggle":[83],"conditional":[86],"operation":[87],"do":[88],"commute.":[90],"Their":[91],"commutators":[92],"generate":[93],"Lie":[95],"algebra":[96],"dimension":[98],"three,":[99],"isomorphic":[100],"to":[101,266,322,364,409],"that":[102,365,441],"rotations,":[104],"in":[105,244],"which":[106,238],"three":[108,273,281],"dimensions":[109],"read":[113,279],"(an":[114],"interpretation).":[115],"Under":[116,156],"an":[117,126,259],"information":[118],"criterion,":[119],"legs.":[124],"On":[125,269],"arena":[127],"chosen":[128],"comparison,":[130],"classification,":[133],"grains":[135],"tile":[136],"with":[138,292,389,437],"identical":[139],"tetrahedra,":[140],"whose":[141],"angles":[142,316],"close":[143],"exactly":[144],"around":[145],"every":[146],"edge:":[147],"is":[149,154,174,178,185,253,258,443,447],"flat,":[150],"tiling":[153],"bipartite.":[155],"stated":[157],"premises,":[158],"signature":[160],"spacetime":[162],"be":[164],"derived":[165],"at":[166,396,414,422,429],"this":[167,270,423],"level,":[168],"no":[169,179,390],"root":[170],"minus":[172],"chosen,":[175],"there":[177],"dynamics.The":[180],"concept":[181],"programme":[184],"posited":[186],"before":[187],"any":[188],"computation,":[189],"seven":[191],"reading":[192],"rules":[193],"formulated":[194],"knowing":[195],"their":[196,319],"targets":[197],"it,":[200,263],"so":[202],"Born":[205],"rule.":[206],"single":[208,426],"coupling":[209,243,395],"governs":[210],"network.":[212],"Beyond":[213],"threshold":[215],"it":[216,442],"orders":[217],"into":[218],"vacuum,":[220,271],"balance":[223],"between":[224,342,377],"complexity":[226],"its":[228,231,236,288,453],"exchanges":[229],"capital,":[232],"entropy":[234],"measures":[239],"durability,":[240],"places":[241],"zone":[246],"just":[247],"above":[248],"threshold.":[250],"vacuum":[252],"critical:":[255],"continuum":[257],"effective":[260],"description":[261],"isotropic":[264],"up":[265,321],"fourth":[267],"order.":[268],"pairings":[274],"families,":[282],"and,":[283],"under":[284],"postulate":[286],"on":[287],"modes,":[289],"node":[291],"extra":[294],"leg":[295],"gives":[296],"sixteen":[298],"states":[299],"generation.":[302],"level":[304,432],"fixes":[305,382],"ranges,":[306,320],"values.":[308],"eighteen":[310],"computed":[311],"mass":[312,334],"ratios":[313],"mixing":[315],"fall":[317],"within":[318,400],"measurement":[324],"error;":[325],"these":[326],"agreements,":[328],"predictions.":[330],"With":[331],"measured":[333,406],"splitting,":[335],"sum":[337],"neutrino":[339],"masses":[340],"lies":[341],"0.063":[343],"0.070":[345],"electronvolt,":[346],"straddling":[347],"current":[349],"cosmological":[350],"bound,":[351],"violation":[354],"charge\u2013parity":[356],"symmetry":[357],"leptons":[359],"sign":[362],"opposite":[363],"quarks,":[368],"refutable":[370],"consequence":[371],"framework.":[374],"compromise":[376],"accumulating":[378],"multiplying":[380],"links":[381],"form":[384],"gauge":[387],"action":[388],"free":[391],"parameter,":[392],"falls":[399],"required":[403],"couplings":[407],"run":[408],"unification.":[410],"Fine":[411],"values":[412],"settle":[413],"Seven":[418],"structures":[419],"missing":[421],"level;":[424],"new":[427],"choice":[428],"would":[433],"lift":[434],"them,":[435],"together":[436],"results":[438],"already":[439],"acquired;":[440],"only":[445],"remedy":[446],"conjecture.":[449],"Every":[450],"statement":[451],"carries":[452],"status.":[454]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}