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Quantum Field Fractal Polarization Math Constants

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ᐱ Y φ Θ P Q Ψ

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Given A=∈1⅄(φ/Q)cn

The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.

so 

A=∈1⅄(φn2/1⅄Qn1)cn 

and 

A=∈1⅄(φn2/2⅄Qn1)cn

then

An1 of 1⅄(φn2/1⅄Qn1)=(1/1.5)=0.^6

An2 of 1⅄(φn3/1⅄Qn2)=(2/1.^6)=1.25 and An2 of 1⅄(φn3/1⅄Qn2c2)=(2/1.^66)=^1.2048192771084337349397590361445783132530

An3 of 1⅄(φn4/1⅄Qn3)=(1.5/1.4)=1.0^714285

An4 of 1⅄(φn5/1⅄Qn4)=(1.^6/1.^571428) and An4 of 1⅄(φn5c2/1⅄Qn4)=(1.^66/1.^571428) and An4 of 1⅄(φn5/1⅄Qn4)=(1.^6/1.^571428571428) and An4 of 1⅄(φn5/1⅄Qn4)=(1.^66/1.^571428571428) and so on for cn variant of An4 of 1⅄(φn5/1⅄Qn4)

An5 of 1⅄(φn6/1⅄Qn5)=(1.6/1.^18)=^0.988875154511742892459826946847960444993819530284301606922126081582200247218788627935723114956736711990111248454882571075401730531520395550061804697156983930778739184177997527812113720642768850432632880

An6 of 1⅄(φn7/1⅄Qn6)=(1.625/1.^307692)

An7 of 1⅄(φn8/1⅄Qn7)=(1.^615384/1.^1176470588235294)

An8 of 1⅄(φn9/1⅄Qn8)=(1.^619047/1.^210526315789473684)

An9 of 1⅄(φn10/1⅄Qn9)=(1.6^1762941/1.^268695652173913043478)

An10 of 1⅄(φn11/1⅄Qn10)=(1.6^18/1.^0689655172413793103448275862)

An11 of 1⅄(φn12/1⅄Qn11)=(1.^61797752808988764044943820224719101123595505/1.^193548387096774)

An12 of 1⅄(φn13/1⅄Qn12)=(1.6180^5/1.^108)

An13 of 1⅄(φn14/1⅄Qn13)=(1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/1.^04878)

An14 of 1⅄(φn15/1⅄Qn14)=(1.6183^0223896551724135014/1.^093023255813953488372)

An15 of 1⅄(φn16/1⅄Qn15)=(1.618^032786885245901639344262295081967213114754098360655737704918/1.^12765957446808510638297872340425531914893610702)

An16 of 1⅄(φn17/1⅄Qn16)=(1.618034447821681864235057244174265450860192502532928064842958459979736575481256332320141843^9716312056737588652482269503546099290780141843/1.^1132075471698)

An17 of 1⅄(φn18/1⅄Qn17)=(1.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/1.^0338983050847457627118644067796610169491525423728813559322)

An18 of 1⅄(φn19/1⅄Qn18)=(1.6180340557314241486068^11145510835913312693/1.^098360655737704918032786885245901639344262295081967213114754)

An19 of 1⅄(φn20/1⅄Qn19)=(1.6180339631667062903611576177947859363788567328390337239894762018655823965558478832791126524754843338914135374312365462807940684046878737144223872279359005022721836881128916527146615642190863429801482898828031571394403252^5711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/1.^059701492537313432835820895522388)

An20 of 1⅄(φn21/1⅄Qn20)=(1.6^1803399852/1.^02816901408450704225352112676056338)

An21 of 1⅄(φn22/1⅄Qn21)=(1.6^180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981/1.^08219178)

An22 of 1⅄(φn23/1⅄Qn22)=(1.6180339901755970865563773925808819377787815481903901530122522725989498052058043024109310597932923042177178024956241883575179831742984585850601321212805601038902377053814013889673084523742307040822087^96792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869/1.^0506329113924) and so on for variables of cn to set variables beyond An22 of 1⅄(φn23/1⅄Qn22) of ∈An of ⅄(φn2/1⅄Qn1)cn 

so if A=∈1⅄(φn2/1⅄Qn1)cn 

and 

A=∈1⅄(φn2/2⅄Qn1)cn

then

An1 of 1⅄(φn2/2⅄Qn1)=(1/0.^6)

An2 of 1⅄(φn3/2⅄Qn2)=(2/0.6)

An3 of 1⅄(φn4/2⅄Qn3)=(1.5/0.^714285)

An4 of 1⅄(φn5/2⅄Qn4)=(1.^6/0.^63)

An5 of 1⅄(φn6/2⅄Qn5)=(1.6/0.^846153)

An6 of 1⅄(φn7/2⅄Qn6)=(1.625/0.^7647058823529411)

An7 of 1⅄(φn8/2⅄Qn7)=(1.^615384/0.^894736842105263157)

An8 of 1⅄(φn9/2⅄Qn8)=(1.^619047/0.^8260869565217391304347)

An ultimate and eventual equation of A variable set then includes a function such as An1 of 1⅄(2φn2/2Qn1) or 

An1 of 1⅄(3φn2/3Qn1) such that Q is a variable of further division tier paths of Q divided by Q ratios just as phi  ratios are potential to definitions and variables. Then on to further complex functions of A of (φ/J), A of (φ/K), A of (φ/L), and A of (φ/U) are definable to variable set ∈A

Functions then X, +⅄, and -⅄ of set A variables φn/1⅄Qn and φn/2⅄Qn replaced where functions of division paths 1⅄,  2⅄, and 3⅄ formulate  A of X(φnx1⅄Qn),  A of X(φnx2⅄Qn),   A of +⅄(φnx+1⅄Qn),  A of +⅄(φn+2⅄Qn),   A of -⅄(φn-1⅄Qn), and A of -⅄(φn-2⅄Qn) so then

if A of X(φnx1⅄Qn) and  A of X(φnx2⅄Qn) then

An1 of X(φn2x1⅄Qn1)=(1x1.5)

An2 of X(φn3x1⅄Qn2)=(2x1.^6)

An3 of X(φn4x1⅄Qn3)=(1.5x1.4)

An4 of X(φn5x1⅄Qn4)=(1.^6x1.^571428)

An5 of X(φn6x1⅄Qn5)=(1.6x1.^18)

An6 of X(φn7x1⅄Qn6)=(1.625x1.^307692)

An7 of X(φn8x1⅄Qn7)=(1.^615384x1.^1176470588235294)

An8 of X(φn9x1⅄Qn8)=(1.^619047x1.^210526315789473684)

so if A of X(φn2x1⅄Qn1)cn 

and 

A of X(φn2x2⅄Qn1)cn

then

An1 of X(φn2x2⅄Qn1)=(1x0.^6)

An2 of X(φn3x2⅄Qn2)=(2x0.6)

An3 of X(φn4x2⅄Qn3)=(1.5x0.^714285)

An4 of X(φn5x2⅄Qn4)=(1.^6x0.^63)

An5 of X(φn6x2⅄Qn5)=(1.6x0.^846153)

An6 of X(φn7x2⅄Qn6)=(1.625x0.^7647058823529411)

An7 of X(φn8x2⅄Qn7)=(1.^615384x0.^894736842105263157)

An8 of X(φn9x2⅄Qn8)=(1.^619047x0.^8260869565217391304347)

AND IF A of +⅄(φnx+1⅄Qn) then A of +⅄(φn+2⅄Qn)then 

An1 of +⅄(φn2+1⅄Qn1)=(1+1.5)

An2 of +⅄(φn3+1⅄Qn2)=(2+1.^6)

An3 of +⅄(φn4+1⅄Qn3)=(1.5+1.4)

An4 of +⅄(φn5+1⅄Qn4)=(1.^6+1.^571428)

An5 of +⅄(φn6+1⅄Qn5)=(1.6+1.^18)

An6 of +⅄(φn7+1⅄Qn6)=(1.625+1.^307692)

An7 of +⅄(φn8+1⅄Qn7)=(1.^615384+1.^1176470588235294)

An8 of +⅄(φn9+1⅄Qn8)=(1.^619047+1.^210526315789473684)

so if A of +⅄(φn2+1⅄Qn1)cn 

and 

A of +⅄(φn2+2⅄Qn1)cn

then

An1 of +⅄(φn2+2⅄Qn1)=(1+0.^6)

An2 of +⅄(φn3+2⅄Qn2)=(2+0.6)

An3 of +⅄(φn4+2⅄Qn3)=(1.5+0.^714285)

An4 of +⅄(φn5+2⅄Qn4)=(1.^6+0.^63)

An5 of +⅄(φn6+2⅄Qn5)=(1.6+0.^846153)

An6 of +⅄(φn7+2⅄Qn6)=(1.625+0.^7647058823529411)

An7 of +⅄(φn8+2⅄Qn7)=(1.^615384+0.^894736842105263157)

An8 of +⅄(φn9+2⅄Qn8)=(1.^619047+0.^8260869565217391304347)

AND IF A of -⅄(φnx-1⅄Qn) then A of -⅄(φn-2⅄Qn)then 

An1 of -⅄(φn2-1⅄Qn1)=(1-1.5)

An2 of -⅄(φn3-1⅄Qn2)=(2-1.^6)

An3 of -⅄(φn4-1⅄Qn3)=(1.5-1.4)

An4 of -⅄(φn5-1⅄Qn4)=(1.^6-1.^571428)

An5 of -⅄(φn6-1⅄Qn5)=(1.6-1.^18)

An6 of -⅄(φn7-1⅄Qn6)=(1.625-1.^307692)

An7 of -⅄(φn8-1⅄Qn7)=(1.^615384-1.^1176470588235294)

An8 of -⅄(φn9-1⅄Qn8)=(1.^619047-1.^210526315789473684)

so if A of -⅄(φn2-1⅄Qn1)cn 

and 

A of -⅄(φn2-2⅄Qn1)cn

then

An1 of -⅄(φn2-2⅄Qn1)=(1-0.^6)

An2 of -⅄(φn3-2⅄Qn2)=(2-0.6)

An3 of -⅄(φn4-2⅄Qn3)=(1.5-0.^714285)

An4 of -⅄(φn5-2⅄Qn4)=(1.^6-0.^63)

An5 of -⅄(φn6-2⅄Qn5)=(1.6-0.^846153)

An6 of -⅄(φn7-2⅄Qn6)=(1.625-0.^7647058823529411)

An7 of -⅄(φn8-2⅄Qn7)=(1.^615384-0.^894736842105263157)

An8 of -⅄(φn9-2⅄Qn8)=(1.^619047-0.^8260869565217391304347)

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