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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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Complex sets of Y Phi Theta Prime Q Psi Quotient Based Numerals 

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While the function of Y variable sets 2-⅄Y=(Y1-Y2) and P primes 2-⅄P=(P1-P2), utilize whole numbers in the subtraction abbreviated of these sequential set variables, the variable sets φ Θ Q, do not equal to whole numbers and instead equal ratios and ratios with repeating notable decimal loops that are numerable. The numerable repeating decimal ratios then produce a difference in subtraction equal to exactly what the variables are noted to in cycle counts through decimal values.

2-⅄Yn1=(Y1-Y2)=(0-1)=-1

2-⅄Yn2=(Y2-Y3)=(1-1)=0

2-⅄Yn3=(Y3-Y4)=(1-2)=-1

2-⅄Yn4=(Y4-Y5)=(2-3)=-1

2-⅄Yn5=(Y5-Y6)=(3-5)=-2

2-⅄Yn6=(Y6-Y7)=(5-8)=-3

2-⅄Yn7=(Y7-Y8)=(8-13)=-5

2-⅄Yn8=(Y8-Y9)=(13-21)=-8

2-⅄Yn9=(Y9-Y10)=(21-34)=-13

2-⅄Yn10=(Y10-Y11)=(34-55)=-21 and so on for variable of sequential set ∈2-⅄Yn

Ironically this is near a mirror image of values in negative amounts and still yet, a different sequential set than Common Y base fibonacci numbers and instead beginning with the number 0 and 1 1 2 3 5 8 13 21 34 55 and so on the sequence starts with negative 1 or -1 then 0, -1, -1, -2, -3, -5, -8, -13, -21 and so on for ∈2-⅄Yn

P primes ∈2-⅄P=(P1-P2), utilize whole numbers toward another sequential set library.

2-⅄Pn1=(P1-P2)=(2-3)=-1

2-⅄Pn2=(P2-P3)=(3-5)=-2

2-⅄Pn3=(P3-P4)=(5-7)=-2

2-⅄Pn4=(P4-P5)=(7-11)=-4

2-⅄Pn5=(P5-P6)=(11-13)=-2

2-⅄Pn6=(P6-P7)=(13-17)=-4

2-⅄Pn7=(P7-P8)=(17-19)=-2

2-⅄Pn8=(P8-P9)=(19-23)=-4

2-⅄Pn9=(P9-P10)=(23-29)=-6

2-⅄Pn10=(P10-P11)=(29-31)=-2

2-⅄Pn11=(P11-P12)=(31-37)=-6

2-⅄Pn12=(P12-P13)=(37-41)=-4

2-⅄Pn13=(P13-P14)=(41-43)=-2

2-⅄Pn14=(P14-P15)=(43-47)=-4

2-⅄Pn15=(P15-P16)=(47-53)=-6

2-⅄Pn16=(P16-P17)=(53-59)=-6

2-⅄Pn17=(P17-P18)=(59-61)=-2

2-⅄Pn18=(P18-P19)=(61-67)=-6

2-⅄Pn19=(P19-P20)=(67-71)=-4

2-⅄Pn20=(P20-P21)=(71-73)=-2

2-⅄Pn21=(P21-P22)=(73-79)=-6

2-⅄Pn22=(P22-P23)=(79-83)=-4

2-⅄Pn23=(P23-P24)=(83-89)=-6

2-⅄Pn24=(P24-P25)=(89-97)=-8

2-⅄Pn25=(P25-P26)=(97-101)=-4

2-⅄Pn26=(P26-P27)=(101-103)=-2

2-⅄Pn27=(P27-P28)=(103-107)=-4

2-⅄Pn28=(P28-P29)=(107-109)=-2

2-⅄Pn29=(P29-P30)=(109-113)=-4

2-⅄Pn30=(P30-P31)=(113-127)=-14

2-⅄Pn31=(P31-P32)=(127-131)=-4

2-⅄Pn32=(P32-P33)=(131-137)=-6

2-⅄Pn33=(P33-P34)=(137-139)=-2

2-⅄Pn34=(P34-P35)=(139-149)=-10

So set function∈2-⅄Pn=(Pn1-Pn2) produces a sequential set of variables in the order of... 

-1, -2, -2, -4, -2, -4, -2, -4, -6, -2, -6, -4, -2, -4, -6, -6, -2, -6, -4, -2, -6, -4, -6, -8, -4, -2, -4, -2, -4, -14, -4, -6, -2, -10 and so on for difference between sequential prime numbers of set ∈2-⅄Pn=(Pn1-Pn2).  The variables of sequential set ∈2-⅄Pn are exact negative values in reflection of sequential set variables in set ∈1-⅄Pn=(Pn2-Pn1)

if Ψ represents ratios from sequential set variable that are neither Y base nor P prime variables in whole numbers, then the function of ∈2-⅄Ψn1=(Ψn1-Ψn2)=(-)=2 as defined in set ∈2-⅄Ψn=(Ψn1-Ψn2). again makes another sequential set of variables notable that is mapped toward a library of another sequential set in these definition bases.

2-⅄Ψn1=(Ψn1-Ψn2)=(4-6)=-2

2-⅄Ψn2=(Ψn2-Ψn3)=(6-9)=-3

2-⅄Ψn3=(Ψn3-Ψn4)=(9-10)=-1

2-⅄Ψn4=(Ψn4-Ψn5)=(10-12)=-2

2-⅄Ψn5=(Ψn5-Ψn6)=(12-14)=-2

2-⅄Ψn6=(Ψn6-Ψn7)=(14-15)=-1

2-⅄Ψn7=(Ψn7-Ψn8)=(15-16)=-1

2-⅄Ψn8=(Ψn8-Ψn9)=(16-18)=-2

2-⅄Ψn9=(Ψn9-Ψn10)=(18-20)=-2

2-⅄Ψn10=(Ψn10-Ψn11)=(20-22)=-2

2-⅄Ψn11=(Ψn11-Ψn12)=(22-24)=-2

2-⅄Ψn12=(Ψn12-Ψn13)=(24-25)=-1

2-⅄Ψn13=(Ψn13-Ψn14)=(25-26)=-1

2-⅄Ψn14=(Ψn14-Ψn15)=(26-27)=-1

2-⅄Ψn15=(Ψn15-Ψn16)=(27-28)=-1

2-⅄Ψn16=(Ψn16-Ψn17)=(28-30)=-2

2-⅄Ψn17=(Ψn17-Ψn18)=(30-32)=-2

2-⅄Ψn18=(Ψn18-Ψn19)=(32-33)=-1

2-⅄Ψn19=(Ψn19-Ψn20)=(33-35)=-2

2-⅄Ψn20=(Ψn20-Ψn21)=(35-36)=-1

So set function ∈2-⅄Ψn=(Ψn1-Ψn2) produces a sequential set of variables in the order of... 

-2, -3, -1, -2, -2, -1, -1, -2, -2, -2, -2, -1, -1, -1, -1, -2, -2, -1, -2, -1 and so on for difference between sequential non Fibonacci non prime numbers of set ∈2-⅄Ψn=(Ψn1-Ψn2). The variables of sequential set ∈2-⅄Ψn are exact negative values in reflection of sequential set variables in set ∈1-⅄Ψn=(Ψn2-Ψn1)

Function path 2-⅄=(n1-n2) is nn2cn previous number in a set of consecutive variables minus nn1cn later number in a set of consecutive variables, such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.

Applications of this function of sequential set subtraction then depend on the exact variable decimal cycle notation for variables of the sequential sets φ, Θ, and Q. 

Nncn is a variable factor for sets ∈A, ∈B, ∈D, ∈E, ∈F, ∈G, ∈H, ∈I, ∈J, ∈K, ∈L, ∈M, ∈O, ∈R, ∈S, ∈T, ∈U, ∈V, ∈W, and ∈Z as well as ∈φ, ∈Θ, ∈1⅄Q, ∈2⅄Q, ∈1⅄Ψ, and ∈2⅄Ψ variables. This specific definition will equal a total difference specific and exact to the numerable decimal loops noted per equation rather than a difference of infinitely looping decimal ratios not notable in such precision.