By the laws of symmetry and by structural and functional analogy to Quarks, Neutrinos/Electron, Tau, Muon and Bosons (Higgs, W, and Z), one can easily deduce the structure and function of Graviton. So, after all, it is possible to navigate in this unknown territory.

There will be again three elements (one stable and two short-lived) and three more either some elements(as in quarks) or completely different elements (such as neutrinos) in addition to the main three. Again, using as an input (X-axis) the Transcendental Constants: C_Minus_4, C_Minus_5, and C_Minus_6 will give some output - sort of a scan with visible part (Real part) and Invisible part (Imaginary). That will be Y-axis on the graph. As before each value of the function gives two angles, so we have six angles corresponding to six elements (more in the future articles). Again, as before for quarks, neutrinos, and bosons the second set of angles is the stable one and it falls in this section at Transcendental Constant C_Minus_5. It'll be similar to Up and down quark, electron/electron-neutrino pair, and Higgs boson/??? pair (stable). By analogy, this will be at θ23 angle.

Moving ahead to Graviton Quantum Numbers.

As in previous cases, they are fractions. The first pair of an unstable graviton has a Quantum Number (1/3.5) * (3/5) (or if you prefer reciprocal of this value) at Transcendental Constant C_Minus_4. Second pair - stable graviton - Quantum Numbers is [1/(3.5)2at Transcendental Constant C_Minus_5 and the third pair with Quantum Number (1/3.5) * 3/2) at Transcendental Constant C_Minus_6. The last one is unstable again.

Calculation of Graviton Mixing Angles.

Same as before we add the invisible and visible part (Imaginary and Real part) (to make things harder scientists call it superposition).Anyway, we get two Y values and we add them together. This procedure gives us an angle (among many other things). When this angle is multiplied by a quantum number we get specific Graviton Mixing Angle.

The first pair (short-living graviton) or some other exotic particle:

ALFA C_M_4 INVISIBLE
A + Bi
-0.38080927536072116911D-02 -0.17501519652516662768D-02
0.41910144740325136134D-02 -0.27107943954127136088D+01
MAGNITUDE & THETA IN DEGREES
0.41910144740325136134D-02 -0.15531707798486613115D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.41910144740325136134D-02 0.58523870490025071689D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.41910144740325136134D-02 0.33531707798486615957D+03

ALFA C_M_4 VISIBLE
C + Di
0.21824754228784004617D+01 0.15902488461974433331D+01
0.27003870767540996134D+01 0.62969295440730754798D+00
MAGNITUDE & THETA IN DEGREES
0.27003870767540996134D+01 0.36078748676662492301D+02
MAGNITUDE & THETA FINAL IN RADIANS
0.27003870767540996134D+01 0.62969295440730754798D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.27003870767540996134D+01 0.36078748676662492301D+02

PRODUCT
( A + Bi ) * ( C + Di )
-0.55278916993774214819D-02 -0.98754787581008078579D-02
0.11317361324166779965D-01 -0.20811014410054058388D+01
MAGNITUDE & THETA IN DEGREES
0.11317361324166779965D-01 -0.11923832930820363174D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.11317361324166779965D-01 0.52226940945951998430D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.11317361324166779965D-01 0.29923832930820367437D+03

DIVISION
( A + Bi ) / ( C + Di )
-0.15214081877693334203D-02 0.30665438104278180866D-03
0.15520050847933131773D-02 -0.33404873498200213788D+01
MAGNITUDE & THETA IN DEGREES
0.15520050847933131773D-02 -0.19139582666152864476D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.15520050847933131773D-02 0.19889469623022781875D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.15520050847933131773D-02 0.11395826661528619894D+02

SUM
( A + Bi ) + ( C + Di )
0.21786673301247931889D+01 0.15884986942321916992D+01
0.26962788129068684384D+01 0.63000007603606933415D+00
MAGNITUDE & THETA IN DEGREES
0.26962788129068684384D+01 0.36096345449787726523D+02
MAGNITUDE & THETA FINAL IN RADIANS
0.26962788129068684384D+01 0.63000007603606933415D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.26962788129068684384D+01 0.36096345449787726523D+02

This angle "theta in degrees" multiplied by C_Minus_4 quantum number will give first mixing angle θ13

0.36096345449787726523D+02 * (1/3.5) * (3/5) = 6.1880 degrees

The second angle of the stable graviton is:

ALFA C_M_5 INVISIBLE
A + Bi
0.26377875161943746818D+01 -0.25974945732101939466D+00
0.26505457477978855430D+01 -0.98156020909732591417D-01
MAGNITUDE & THETA IN DEGREES
0.26505457477978855430D+01 -0.56239257319255369083D+01
MAGNITUDE & THETA FINAL IN RADIANS
0.26505457477978855430D+01 0.61850292862698532659D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.26505457477978855430D+01 0.35437607426807443289D+03

ALFA C_M_5 VISIBLE
C + Di
0.51958635378203501531D+01 0.11265467523896126600D+01
0.53165877674473298597D+01 0.21351134923185283165D+00
MAGNITUDE & THETA IN DEGREES
0.53165877674473298597D+01 0.12233299189128958417D+02
MAGNITUDE & THETA FINAL IN RADIANS
0.53165877674473298597D+01 0.21351134923185283165D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.53165877674473298597D+01 0.12233299189128958417D+02

PRODUCT
( A + Bi ) * ( C + Di )
0.13998203883492015720D+02 0.16219682255997276421D+01
0.14091859099801773425D+02 0.11535532832212024024D+00
MAGNITUDE & THETA IN DEGREES
0.14091859099801773425D+02 0.66093734572034215091D+01
MAGNITUDE & THETA FINAL IN RADIANS
0.14091859099801773425D+02 0.11535532832212022636D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.14091859099801773425D+02 0.66093734572034215091D+01

DIVISION
( A + Bi ) / ( C + Di )
0.47452465899718043740D+00 -0.15287616101948242608D+00
0.49854264873172599026D+00 -0.31166737014158540919D+00
MAGNITUDE & THETA IN DEGREES
0.49854264873172599026D+00 -0.17857224921054495326D+02
MAGNITUDE & THETA FINAL IN RADIANS
0.49854264873172599026D+00 0.59715179370380004897D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.49854264873172599026D+00 0.34214277507894547625D+03

SUM
( A + Bi ) + ( C + Di )
0.78336510540147248349D+01 0.86679729506859326538D+00
0.78814609297264324184D+01 0.11020219031595600290D+00
MAGNITUDE & THETA IN DEGREES
0.78814609297264324184D+01 0.63141203982017515273D+01
MAGNITUDE & THETA FINAL IN RADIANS
0.78814609297264324184D+01 0.11020219031595600290D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.78814609297264324184D+01 0.63141203982017515273D+01

Again, "theta in degrees"  is multiplied by C_Minus_5 quantum number giving the graviton mixing angle we are looking for (stable graviton) θ23

0.63141203982017515273D+01 * [1/(3.5)2] = 0.5154 degrees

The third pair calculated at a Transcendental Constant C_Minus_6:

ALFA C_M_6 INVISIBLE
A + Bi
-0.82011219380003803963D+04 -0.24703309114555013366D+04
0.85650998741429575603D+04 -0.28490182032569002502D+01
MAGNITUDE & THETA IN DEGREES
0.85650998741429575603D+04 -0.16323671880256532063D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.85650998741429575603D+04 0.59906108568466933662D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.85650998741429575603D+04 0.34323671880256529221D+03

ALFA C_M_6 VISIBLE
C + Di
0.58081415808837846271D+01 -0.28861111112701247627D+01
0.64856877792712213093D+01 -0.46117082591115249324D+00
MAGNITUDE & THETA IN DEGREES
0.64856877792712213093D+01 -0.26423141959271465140D+02
MAGNITUDE & THETA FINAL IN RADIANS
0.64856877792712213093D+01 0.58220144812684333502D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.64856877792712213093D+01 0.33357685804072849578D+03

PRODUCT
( A + Bi ) * ( C + Di )
-0.54762926830063996022D+05 0.93213174647768410068D+04
0.55550563581966453057D+05 -0.33101890291680526879D+01
MAGNITUDE & THETA IN DEGREES
0.55550563581966453057D+05 -0.18965986076183676801D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.55550563581966453057D+05 0.16859637557825957188D+00
MAGNITUDE & THETA FINAL IN DEGREES
0.55550563581966453057D+05 0.96598607618367768879D+01

DIVISION
( A + Bi ) / ( C + Di )
-0.96290146659909362370D+03 -0.90379538104625260075D+03
0.13206155099722352588D+04 -0.23878473773457478124D+01
MAGNITUDE & THETA IN DEGREES
0.13206155099722352588D+04 -0.13681357684329384483D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.13206155099722352588D+04 0.55294400309355413725D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.13206155099722352588D+04 0.31681357684329390167D+03

SUM
( A + Bi ) + ( C + Di )
-0.81953137964194975211D+04 -0.24732170225667714476D+04
0.85603721100485945499D+04 -0.28484996932553334759D+01
MAGNITUDE & THETA IN DEGREES
0.85603721100485945499D+04 -0.16320701036784021198D+03
MAGNITUDE & THETA FINAL IN RADIANS
0.85603721100485945499D+04 0.59900923468451265919D+01
MAGNITUDE & THETA FINAL IN DEGREES
0.85603721100485945499D+04 0.34320701036784021198D+03

"Theta in degrees" multiplied by respective quantum number of a Transcendental Constant C_Minus_6 gives the angle θ12

-0.16320701036784021198D+03  * (1/3.5) * (3/2) = -69.9459 degrees

Next part in these series will be about running three tests to make sure that all those resuklts are correct. Two test for Quark CP Violition  Phase and Neutrino CP Violation Phase and one of my own geometrical (spherical geometry).