6

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Quaternion applications


application 1
page 3 of the storyline NET FORCES IN QCD. Use the gluon table.
In an antibaryon two baryonic gluons are emitted simultaneously.



* = ki = j     (6.1)

* = ik = -j     (6.2)

(6.1) and (6.2) superpose and cancel out,
(j) + (-j) = 0

The shown outcome = -j is only one of the two outcomes j and -j.


Application 2
page 3 of the storyline NET FORCES IN QCD.
In a meson two mesonic gluons are emitted simultaneously.



* = -1 * -1 = 1     (6.3)

* = -1 * -1 = 1     (6.4)

The two gluon multiplications (6.3) and (6.4) superpose...
1 + 1 = 2
...and double their value in the wavefunction.

The meson has changed from to which is the usual color swap in mesons.
The resulting mesonic gluon escapes, since it has no color and does not leave behind a colored situation.
Its quaternion value is 1, it is an ordinary glueball. Glueballs are not formed abundantly in this process because its creation costs a lot of energy that usually is not available.


Application 3
page 3 of the storyline NET FORCES IN QCD.
What happens when in a meson two baryonic gluons are emitted simultaneously?



* = -j * -j = -1     (6.5)

* = -j * -j = -1     (6.6)

The two gluon multiplications (6.5) and (6.6) superpose...
-1 -1 = -2
...and double their value in the wavefunction.

The meson has changed from to
The resulting mesonic gluon escapes, since it has no color and does not leave behind a colored situation. Well, that is, if energy is available to give it its mass. Its quaternion value is -1.

The free mesonic gluon is a glueball-like object with the ability to apply a CPT-like transformation on any quark or antiquark it encounters. It multiplies the quark's color by -1, changes the direction of time and swaps its spin. When an ordinary glueball (quaternion value +1) is called white, then the free mesonic gluon (quaternion value -1) is a black glueball.

If a black glueball is absorbed by a quark in an ordinary baryon or antibaryon or meson, it would leave behind a colored end state. Something like this is not observed. We continue the view that nature will prevent a colored end state from arising. Therefore OR the particle does not exist/ is forbidden; OR it passes by any ordinary quark or antiquark on its way. Also the gluons will be passed by as far as the meeting would lead to a colored end state. This is a new kind of particle within the reach of the standard model, predicted by the quaternion approach.

Black glueballs might be created in large numbers when density is high and energy is abundant, like in the beginning of the universe. Once created, the black glueball seems stable. And when temperature drops and matter became sparse they had no way to dissolve.
Is the black glueball a candidate for dark matter? (column at the right, page 2 of THE EXPANSION OF THE UNIVERSE)


Quaternion applications in other storylines
1) Page 2 of the storyline QUATERNION GRAVITATION describes the vacuum as a Bose condensate of spin 1 gluons.

2) Paragraph Four quarks in the shell at page 5 of NET FORCE IN QCD describes the gluon as two quarks massless coinciding. The typical strong force reaction time is calculated to be about 0.5 * 10^-24 s. The vacuum is described as a Bose condensate of spin 0 gluons. See also page 5 of QG, paragraph Building vacuum directly from spin 0 gluons.
Massless coinciding is a concept worked out in the paragraph The calculation of the time border and the subsequent paragraph Massless Coinciding at page 2 of THE EXPANSION OF THE UNIVERSE.

3) In the storyline THE EXPANSION OF THE UNIVERSE page 1 contains discussion on time reversed gravitation and paragraph Dark multiplication rules at page 2 contains an effort to determine the computation rules of a backward time evolving vacuum.

4) Quaternions in SR


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A ring of fire



THE SEA OF POSSIBILITIES: THE COLLAPSE OF THE WAVEFUNCTION  1  2  3  4  5
THE SEA OF POSSIBILITIES: EXPERIMENTS ON THE COLLAPSE OF THE WAVEFUNCTION  1  2  3  4
THE SEA OF POSSIBILITIES: FORWARD BACKWARD TIME DIRECTION  1  2  3  4  5  6  7
THE SEA OF POSSIBILITIES: THE DIRECTION OF TIME  1  2  3  4  5  6  7  8  9  10  11  12  13  14
NET FORCE IN REAL MATTER  1  2  3  4
NET FORCE IN QED  1  2  3  4  5
NET FORCE  1  2  3  4  5
QUANTUM QUATERNION DYNAMICS  1  2  3  4  5  6  7  8  9  10
NET FORCES IN QCD  0  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16
THOUGHT EXPERIMENTS ON MASSES  1  2  3  4  5  6  7
NEWTON EINSTEIN KIEKENS GRAVITATION  1  2  3  4  5  6  7
QUATERNION GRAVITATION  1  2  3  4  5  6  7
EXPANSION OF THE UNIVERSE  1  2  3  4  5
SPECIAL RELATIVITY  1  2  3  4  5  6  7  8  9  10  11  12
DIMENSIONS  1  2  3  4  5  6  7
TIMETRAVEL  1  2  3  4  5  6  7  8
EXISTENCE  1  2  3  4  5  6  7
CROPCIRCLES BY ELECTRIC AND MAGNETIC FIELDS  1  2  3  4  5  6  7  8  9  10  11  12  13  14
ADDITIONS  1  2  3  4  5  6  7  8  9
MATH  1  2  3
EVOLUTION  1  2  3
OTHER REMARKS ON BIOLOGY  1  2  3