19 March 2025 AD Wednesday

St Joseph (1^st century AD)

 

In this article, I will show how to obtain 'transcendental fractions' for the multiplication factors needed to calculate the mixing angles of quarks using more precise data from the year 2022. These calculations are very similar to those in the previous article. They are super important in that sense that they are used to calculate by extrapolation the mixing/oscillation angles of bosons, gravitons, space, time, membrane internal and membrane external, as well as delta CP violation phase angles for the mentioned constituents of the Universe. The calculations, as I said, are very simple, the only difficulty is how to express those numbers in some nice formulas. As usual, the transcendental constants will be used: π, e, C₀ and C₅. I will provide the printout of these important constants. So, starting with the order of appearance in the main equation: theta₁₃, theta₂₃ and theta₁₂ we will obtain more precise data (but I have to tell that the results will be slightly different as measurements progress in the future). What I mean is that there are some ‘correction factors’ needed to minimize the error of the calculations. However, these corrections are very small and the measurements are done very well.

The official theta mixing angles for quarks are as follows:

Sin θ13= 0.00369 ±0.00011 

Sin θ23 = 0.04182 +0.00085/-0.00074 

Sin θ12 = 0.22500 ±0.00067 

 

And the official quark mixing angles are:

 

QΘ₁₃ = 0.211422°

QΘ₂₃ = 2.396809°

QΘ₁₂ = 13.002878°

 

Charge Parity violation phase angle, δcp = 1.144 ±0.027 = 65.546371763°

 

You can see these angles on page 212 of this printout:

 

https://pdg.lbl.gov/2024/download/db2022.pdf

 

Quark theta₁₃ mixing angle.

From the sum of ‘visible’ and ‘invisible’ part of the main equation we have the angle theta_13raw which has to be multiplied by the multiplication factor to obtain theta₁₃ mixing angle.

Theta₁₃ calculation:

SUM

  ( A + Bi ) + ( C + Di )

    0.11803104629924687785D+01   -0.24889930064429688361D-01

 MAGNITUDE & THETA IN RADIANS

    0.11805728684279122032D+01   -0.21084487866453137384D-01

 MAGNITUDE & THETA IN DEGREES

    0.11805728684279122032D+01   -0.12080521679425584303D+01

 MAGNITUDE & THETA FINAL IN RADIANS

    0.11805728684279122032D+01    0.62621008193131331154D+01

 MAGNITUDE & THETA FINAL IN DEGREES

    0.11805728684279122032D+01    0.35879194783205741714D+03

 

So, θ₁₃ = θ_13raw x Multiplication Factor = θ_13raw x (11/20π) =

= -1.208052167943° x (11/20π) = -0.211494221° versus 0.211422° official data.

With relative error ε = 0.034160%

 

Theta₂₃ calculation:

SUM

  ( A + Bi ) + ( C + Di )

    0.21857000214842718933D+01    0.31976971287989758297D+00

 MAGNITUDE & THETA IN RADIANS

    0.22089674631355795675D+01    0.14527022249462359649D+00

 MAGNITUDE & THETA IN DEGREES

    0.22089674631355795675D+01    0.83233706378683649518D+01

 MAGNITUDE & THETA FINAL IN RADIANS

    0.22089674631355795675D+01    0.14527022249462359649D+00

 MAGNITUDE & THETA FINAL IN DEGREES

    0.22089674631355795675D+01    0.83233706378683649518D+01

 

So, θ₂₃ = θ_23raw x Multiplication Factor = θ_23raw x (e/3π) =

= 8.323370637868° x (e/3π) = 2.400615405° versus 2.396809° official data.

With relative error ε = 0.159%

Here, the error is significant and future measurements will adjust this value. The correction factor may be equal to (C₀)^1/8. When the result is multiplied by this correction factor then the relative error is decreased to

ε = 0.005180%

 

Theta₁₂ calculation:

SUM

  ( A + Bi ) + ( C + Di )

    0.32414088994293002166D+01    0.15891463038124078455D+01

 MAGNITUDE & THETA IN RADIANS

    0.36100024415809062184D+01    0.45582856957724077196D+00

 MAGNITUDE & THETA IN DEGREES

    0.36100024415809062184D+01    0.26117053218261293779D+02

 MAGNITUDE & THETA FINAL IN RADIANS

    0.36100024415809062184D+01    0.45582856957724077196D+00

 MAGNITUDE & THETA FINAL IN DEGREES

    0.36100024415809062184D+01    0.26117053218261293779D+02

 

So, θ₁₂ = θ_12raw x Multiplication Factor = θ_12raw x (1/(C0 x C5)) =

= 26.117053218261° x (1 / (C0 x C5)) = 13.002705532° versus 13.002878° official data.

With relative error ε = 0.001326%

 

Where C₀ and C₅ are posted in the following table:

 

                                                Constants Down

 

  index                value of CONST                             inverse of CONST

 

    C8      0.314159265358979312D+01      0.318309886183790691D+00

    C7      0.271828182845904509D+01      0.367879441171442334D+00

    C6      0.235200960585625962D+01      0.425168331587636339D+00

    C5      0.203509037514925373D+01      0.491378669080806740D+00

    C4      0.176087411578294284D+01      0.567899766960551222D+00

    C3      0.152360685770869408D+01      0.656337292616199885D+00

    C2      0.131830994393645184D+01      0.758546959764269446D+00

    C1      0.114067556173602913D+01      0.876673467500320047D+00

 

    C0      0.986976350384356937D+00      0.101319550322616259D+01

 

Final results:

 

Quark multiplication factors:

Qθ₁₃ Mul Fact = (11/(20π)) = 0.175070437

Qθ₂₃ Mul Fact = (e/(3π)) = 0.288418660

Qθ₁₂ Mul Fact = (1/(C₀ * C₅)) = 0.497862658

 

Quark mixing angles:

Qθ₁₃ = -0.211494⁰

Qθ₂₃ = 2.400615⁰

Qθ₁₂ = 13.002706⁰

 

Quark raw angles:

Qθ₁₃ raw = -1.208052217⁰

Qθ₂₃ raw = 8.323370638⁰

Qθ₁₂ raw = 26.117053218⁰

 

Next article – the neutrino oscillation angles, the boson (possible since we have running weak mixing angle – Theta Weinberg angle). After that all the other constituents of the universe (eight altogether) and also after that the Delta charge-parity phase violation angles. It will be possible to prove that there is an 'other side' beyond our Universe just by considering the mixing/oscillation angles and charge-parity phase violation.

 

Sona a battenti   >>>   https://www.youtube.com/watch?v=ng38zD2Ulc4&ab_channel=Accordone-Topic