5 August 2019 AD; Dedication of the Basilica of St Mary Major in Rome (Our Lady of the Snows); St Emygdius

 

These calculations are similar to those in the previous article. Let us start with single elements first.

The Boson.

δ CP Angle = θ * ( 2 / 3 )

Where θ is the element's angle.

δ CP Angle Boson = 102.8371 deg * ( 2 / 3 ) = 68.5581 deg (spherical angle)

 

The neutrino.

δ CP Angle = θ * ( 4 / 15 )

Where θ is the element's angle.

δ CP Angle Neutrino = 257.8801 deg * ( 4 / 15 ) = 68.7680 deg (spherical angle)

 

The Quark.

δ CP Angle = [ ( θ + 270 deg ) ]  * ( 4 / 21 )

Where θ is the element's angle.

δ CP Angle Quark = 90.4706 deg + 3 * 90.4706 deg = 361.8822 deg * ( 4 / 21 ) = 68.9300 deg (spherical angle)

 

The Graviton.

δ CP Angle = [ ( θ + 270 deg ) ]  * ( 4 / 21 )

Where θ is the element's angle.

δ CP Angle Graviton = 90.5494 deg + 3 * 90.5494 deg = 362.1976 deg * ( 4 / 21 ) = 68. 9900 deg (spherical angle)

 

The arithmetic mean of singles equals to:

275.2391 / 4 = 68.81153 deg (spherical angle)

 

The triplets. 

 

The quark/neutrino/graviton triplet.

δ CP Angle = ( θ - 180 deg ) * ( 4 / 15 )

Where θ is the sum of the angles of the triplet.

δ CP Angle = ( 90.4706 deg + 257.8801 deg + 90.5494 deg ) - [ ( 2 * 90.5100 deg + 90.1793 deg ) / 3 ] = 438.9000 deg - 2 * 90.3998 deg = 438.9000 deg - 180.7995 deg = 258.1006 deg * ( 4 / 15 ) = 68.8268 deg (spherical angle)

 

The quark/boson/graviton triplet.

δ CP Angle = ( θ - 180 deg ) * ( 2 / 3 )

Where θ is the sum of the angles of the triplet.

δ CP Angle = 283.8571 deg - 180.7996 deg = 103.0575 deg * ( 2 / 3 ) = 68.7050 deg (spherical angle) 

 

The neutrino/graviton/boson triplet.

δ CP Angle = ( θ - 90 deg ) * ( 4 / 21 )

Where θ is the sum of the angles of the triplet.

δ CP Angle = 451.2666 deg - [ ( 2 * 90.1793 deg + 90.5100 deg ) / 3 ] = 451.2666 deg - 90.2895 deg = 360.9777 deg * ( 4 / 21 ) = 68.7575 deg (spherical angle)

 

The quark/neutrino/boson triplet.

δ CP Angle = ( θ - 90 deg ) * ( 4 / 21 )

Where θ is the sum of the angles of the triplet.

δ CP Angle = 451.1878 deg - 90.2895 deg = 360.8983 deg * ( 4 / 21 ) = 68.7425 deg (spherical angle)

 

The arithmetic mean of the triplets:

275.0318 / 4 = 68.75795 deg (spherical angle)

 

The arithmetic mean of all four combinations (singles, pairs, triplets, and quadruplet):

(singles = 68.81153 deg (spherical angle) * 4) + ( pairs = 68.77147 deg * 6 ) + (triplets = 68.75795 deg (spherical angle) * 4 ) + (quadruplet = 68.7710 deg (spherical CP Angle for pentagon) * 1 ) = 1031.67774 deg / 15 = 68.77852 deg (spherical CP Angle mean for quark)

Official Value is 1.2 rad = 68.7 deg

By the way, the sum of all singles, pairs, triplets and a quadruplet is:

1031.67774 deg = 18.006173 radians

and 

1.8006173 radians / 15 = 1.2004115 radians which agrees wtth the official measured value of that angle (1.2 rad).

 

Next Articles - Neutrino CP Violation Phase (matter/antimatter angle).