Quasi-periodic prefactor at golden slope: period-2 structure, Zeckendorf-phase clustering, and separation from two controls

{"Version":[0,6],"1.1":[1],"replaces":[2],"the":[3,11,15,20,40,46,66,69,78,114,119,137,141,147,175,179,222,226,242,269,280,284,315,320,334,345,347,353,366,377,381,399],"attached":[4,17],"file.":[5],"1.0":[7],"was":[8,52,59,299],"published":[9],"with":[10,288],"DRAFT":[12,23],"build":[13],"of":[14,55,98,146,160,272,294,362],"manuscript":[16],"in":[18,45,53,104,252,344,365],"error:":[19],"file":[21],"carried":[22],"running":[24],"heads":[25],"and":[26,88,101,162,190,196,207,319,358,387],"a":[27,74,85,89,95,157,204,209,277,331,359],"status":[28],"line":[29],"reading":[30],"'DRAFT":[31],"-":[32],"not":[33,94,225,240,276,303,371,385],"deposited'.":[34],"The":[35,50,106,199,218,392],"mathematics":[36],"is":[37,73,93,111,174,203,220,224,250,268,327,379,383,395],"unchanged":[38],"between":[39],"two":[41,56,165],"builds;":[42],"they":[43],"differ":[44],"draft":[47,266,312],"markers":[48],"only.":[49],"error":[51],"which":[54,369],"adjacently-named":[57],"builds":[58],"selected":[60],"at":[61,68,113,178,397],"upload.":[62],"This":[63,229],"record":[64,100,230,368],"reports":[65],"prefactor":[67,120],"GOLDEN":[70],"slope.":[71],"It":[72],"companion":[75],"computation":[76],"to":[77,168,333],"A076227":[79,177,340],"software":[80],"deposit":[81],"(Zenodo":[82],"22121363),":[83],"on":[84,254,279,390],"different":[86,90,205,210],"slope":[87,116,181,195],"sequence;":[91],"it":[92],"new":[96],"version":[97],"that":[99,194,233,263,311,314,404],"retracts":[102],"nothing":[103,388],"it.":[105,238],"same":[107,227],"exact-integer":[108],"dynamic":[109],"programme":[110],"run":[112],"golden":[115],"1/phi,":[117],"where":[118],"exhibits":[121],"an":[122,264,273],"exact":[123],"period-2":[124,317],"limit":[125],"cycle":[126,318],"along":[127],"Fibonacci":[128],"indices":[129],"(last":[130],"within-parity":[131],"difference":[132],"0.001588,":[133],"against":[134,156,352],"0.062063":[135],"for":[136,291],"gamma":[138,182],"control":[139],"through":[140],"identical":[142],"code":[143],"path),":[144],"clustering":[145],"detrended":[148],"profile":[149],"by":[150,301,304],"Zeckendorf":[151],"phase":[152],"(eps_5/eps_1":[153],"=":[154,183,213,247,356],"0.198649":[155],"sealed":[158],"threshold":[159],"0.5),":[161],"separation":[163],"from":[164,310,376],"controls.":[166],"Relation":[167],"Zenodo":[169],"22121363.":[170],"That":[171,298],"record's":[172],"subject":[173],"sequence":[176],"single":[180],"1/log2(3);":[184],"its":[185,187,191],"title,":[186],"README":[188],"heading":[189],"keywords":[192],"name":[193],"no":[197,289],"other.":[198],"barrier":[200,206,243],"used":[201],"here":[202],"generates":[208],"sequence:":[211],"B(39)":[212],"3611535862":[214],"there,":[215],"4574825460":[216],"here.":[217],"machinery":[219],"reused;":[221],"object":[223],"object.":[228],"therefore":[231],"cites":[232],"one":[234,324,405],"rather":[235],"than":[236],"versioning":[237],"Cited,":[239],"derived:":[241],"word's":[244],"recursion":[245],"s_(n+1)":[246],"s_n":[248],"s_(n-1)":[249],"classical":[251,281],"combinatorics":[253],"words":[255],"(Lothaire;":[256],"de":[257],"Luca).":[258],"A":[259,307],"parity-dependent":[260],"\\"seam":[261],"correction\\"":[262],"intermediate":[265],"derived":[267],"translation":[270],"cost":[271],"index":[274],"convention,":[275],"phenomenon:":[278],"characteristic":[282],"word":[283],"identity":[285],"holds":[286],"exactly,":[287],"correction,":[290],"all":[292],"14":[293,295],"tested":[296],"scales.":[297],"settled":[300],"construction,":[302],"literature":[305],"search.":[306],"further":[308],"claim":[309],"—":[313,326],"prefactor's":[316],"seam":[321],"defect":[322],"were":[323],"fact":[325],"WITHDRAWN.":[328],"NOT":[329],"CLAIMED:":[330],"solution":[332],"irrational-slope":[335],"problem;":[336],"any":[337],"result":[338],"about":[339],"itself.":[341],"OPEN,":[342],"named":[343],"body:":[346],"observed":[348],"decay":[349],"rate":[350],"0.6676":[351],"predicted":[354],"1/phi":[355],"0.6180,":[357],"sup":[360],"plateau":[361],"0.093777":[363],"quoted":[364],"working":[367],"does":[370],"reproduce":[372],"(the":[373],"value":[374],"derivable":[375],"artifact":[378],"0.094343;":[380],"discrepancy":[382],"recorded,":[384],"reconciled,":[386],"rests":[389],"it).":[391],"prior-art":[393],"scope":[394],"stated":[396],"what":[398],"gates":[400],"actually":[401],"covered,":[402],"including":[403],"sweep's":[406],"arXiv":[407],"arm":[408],"screened":[409],"zero":[410],"documents":[411],"while":[412],"reporting":[413],"itself":[414],"operational.":[415]}