{"id":"https://openalex.org/W7225390791","doi":"https://doi.org/10.5281/zenodo.23994287","title":"The Solution to the Hierarchy Problem: Gravity as the \"Echo\" of Spacetime Memory (K-Kernel & AMDCf Framework)","display_name":"The Solution to the Hierarchy Problem: Gravity as the \"Echo\" of Spacetime Memory (K-Kernel & AMDCf Framework)","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225390791","doi":"https://doi.org/10.5281/zenodo.23994287"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23994287","doi":"https://doi.org/10.5281/zenodo.23994287","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23994287","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.23994287","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152735993","display_name":"MOHAMMED TAHAR SAIM","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"SAIM, MOHAMMED TAHAR","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5152735993"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.7979000210762024,"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"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.7979000210762024,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.11289999634027481,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.048500001430511475,"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/hierarchy-problem","display_name":"hierarchy problem","score":0.9279999732971191},{"id":"https://openalex.org/keywords/spacetime-memory","display_name":"spacetime memory","score":0.8899999856948853},{"id":"https://openalex.org/keywords/non-markovian-effects","display_name":"non-Markovian effects","score":0.9570000171661377},{"id":"https://openalex.org/keywords/modified-einstein-field-equations","display_name":"modified Einstein field equations","score":0.8309999704360962},{"id":"https://openalex.org/keywords/time-delay-effects","display_name":"time delay effects","score":0.6779999732971191},{"id":"https://openalex.org/keywords/memory-field","display_name":"memory field","score":0.37400001287460327},{"id":"https://openalex.org/keywords/newtonian-limit","display_name":"Newtonian limit","score":0.7440000176429749},{"id":"https://openalex.org/keywords/correspondence-principle","display_name":"correspondence principle","score":0.7089999914169312},{"id":"https://openalex.org/keywords/bianchi-identities","display_name":"Bianchi identities","score":0.8080000281333923},{"id":"https://openalex.org/keywords/classical-singularities","display_name":"classical singularities","score":0.5339999794960022}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.663100004196167},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.5631999969482422},{"id":"https://openalex.org/C2780695315","wikidata":"https://www.wikidata.org/wiki/Q3799040","display_name":"Unobservable","level":2,"score":0.5629000067710876},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5393000245094299},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.5192999839782715},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4936000108718872},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.4562999904155731},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.44209998846054077},{"id":"https://openalex.org/C105004547","wikidata":"https://www.wikidata.org/wiki/Q3775955","display_name":"Semiclassical gravity","level":5,"score":0.40790000557899475},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3894999921321869},{"id":"https://openalex.org/C64606577","wikidata":"https://www.wikidata.org/wiki/Q601556","display_name":"Hierarchy problem","level":3,"score":0.38449999690055847},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3610999882221222},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.3578000068664551},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.3325999975204468},{"id":"https://openalex.org/C166582202","wikidata":"https://www.wikidata.org/wiki/Q5380779","display_name":"Entropic gravity","level":5,"score":0.30730000138282776},{"id":"https://openalex.org/C134328617","wikidata":"https://www.wikidata.org/wiki/Q546984","display_name":"Linearized gravity","level":3,"score":0.28380000591278076},{"id":"https://openalex.org/C21855786","wikidata":"https://www.wikidata.org/wiki/Q4330160","display_name":"Higher-dimensional Einstein gravity","level":5,"score":0.2822999954223633},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.27970001101493835},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C204382877","wikidata":"https://www.wikidata.org/wiki/Q319686","display_name":"Speed of gravity","level":4,"score":0.26600000262260437},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23994287","doi":"https://doi.org/10.5281/zenodo.23994287","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23994287","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.23994288","doi":"https://doi.org/10.5281/zenodo.23994288","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23994288","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.23994287","doi":"https://doi.org/10.5281/zenodo.23994287","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23994287","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/W7225074723","https://openalex.org/W7225106082","https://openalex.org/W7225111625","https://openalex.org/W7171353612","https://openalex.org/W7167424862","https://openalex.org/W7108209012","https://openalex.org/W7124728483","https://openalex.org/W7108220885","https://openalex.org/W2344753184","https://openalex.org/W7164810163"],"abstract_inverted_index":{"For":[0],"decades,":[1],"modern":[2],"physics":[3,26],"has":[4],"struggled":[5],"with":[6],"the":[7,18,35,59,63,80,85,88,107,112,130,137,144,149,162,183,187,189,198,204,219,233,250,263,272,275,281,298],"Hierarchy":[8,108],"Problem:":[9],"why":[10],"is":[11,51,58,120,128,161,202,244,267,271],"gravity":[12,83],"approximately":[13],"(10^{36})":[14],"times":[15],"weaker":[16],"than":[17],"electromagnetic,":[19],"strong,":[20],"and":[21,73,289],"weak":[22,173,238,268],"nuclear":[23],"forces?":[24],"Standard":[25],"attempts":[27],"to":[28,225,291,296],"explain":[29],"this":[30],"through":[31,262],"external":[32],"fine-tuning":[33],"or":[34],"unobservable":[36],"Multiverse":[37],"hypothesis.":[38],"The":[39,116,122,140,179,213],"AMDCf":[40],"(Adaptive":[41],"Memory-Driven":[42],"Coupling":[43],"Framework)":[44],"offers":[45],"a":[46,53,153,166,209,246],"radical,":[47],"deterministic":[48],"alternative:":[49],"Gravity":[50,119,236,266],"not":[52,245,277],"fundamental,":[54],"instantaneous":[55],"force;":[56],"it":[57,243,270],"macroscopic":[60],"manifestation":[61],"of":[62,66,82,87,102,133,143,164,182,208,254,256,274,280,287],"non-Markovian":[64,89,258],"memory":[65,90,104,150,190,221,259,273,294],"spacetime.":[67],"Based":[68],"on":[69,239],"our":[70],"numerical":[71],"simulations":[72],"modified":[74],"Einstein":[75],"Field":[76],"Equations,":[77],"we":[78,125,195],"define":[79],"force":[81,160],"as":[84,197],"gradient":[86,163],"field:":[91],"F_{grav}":[92],"=":[93],"-\\mu_{mem}":[94],"\\nabla":[95],"M(r).":[96],"We":[97],"demonstrate":[98],"four":[99],"fundamental":[100],"properties":[101],"spacetime":[103,264],"that":[105],"solve":[106],"Problem":[109],"without":[110],"violating":[111],"Bianchi":[113],"identities:":[114],"1.":[115],"Time-Delay":[117],"Effect:":[118],"non-Markovian.":[121],"gravitational":[123,200],"effect":[124],"feel":[126],"today":[127],"merely":[129,203],"accumulated":[131],"\"echo\"":[132],"mass-energy":[134],"distributions":[135],"from":[136],"distant":[138],"past.2.":[139],"\"Flat":[141],"Plateau\"":[142],"Core:":[145],"Inside":[146],"massive":[147],"bodies,":[148],"field":[151,191],"reaches":[152],"saturation":[154],"point":[155],"(a":[156],"flat":[157,167],"plateau).":[158],"Because":[159],"memory,":[165],"plateau":[168],"results":[169],"in":[170],"an":[171,278],"extremely":[172],"local":[174,240],"gradient,":[175],"preventing":[176],"classical":[177],"singularities.3.":[178],"Exponential":[180],"Damping":[181],"Memory":[184],"Tail:":[185],"Outside":[186],"core,":[188],"decays":[192],"rapidly.":[193],"What":[194],"measure":[196],"\"weak\"":[199],"pull":[201],"faint,":[205],"decaying":[206],"tail":[207,222],"vast":[210],"historical":[211],"memory.4.":[212],"Newtonian":[214],"Limit:":[215],"At":[216],"large":[217],"distances,":[218],"rippling":[220],"averages":[223],"out":[224],"perfectly":[226],"recover":[227],"Newton's":[228],"inverse-square":[229],"law":[230],"(1/r^2),":[231],"proving":[232],"Correspondence":[234],"Principle.":[235],"appears":[237],"scales":[241,286],"because":[242,269],"direct":[247],"push/pull,":[248],"but":[249],"macro-scale":[251],"statistical":[252],"average":[253],"trillions":[255],"tiny,":[257],"ripples":[260],"propagating":[261],"fabric.":[265],"past,":[276],"impulse":[279],"present.":[282],"It":[283],"requires":[284],"cosmic":[285],"time":[288],"distance":[290],"accumulate":[292],"enough":[293],"density":[295],"dominate":[297],"universe.":[299]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}