THE UNIVERSE IS AND ONE YET MADE SIMPLE
   Intro P1  NEXT Quanta       Decay Modes  
Click Pion Minus Decay To Go Back  

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At the bottom of the display ordered pairs associated with the variables (s , t) repectively are listed below quarks and leptons these ordered pairs represent.
When you left click on an ordered pair, in the boxes above, the number to the left or right of the comma will cycle from 0 to 3 or from 0 to -3. 
At the top of the middle blue box, you can see the text (+/-1*VEE) or (+/-1*TEE).
When the  text reads VEE the number to the left of the comma representing the value of (s) will cycle.
When the  text reads TEE the number to the right of the comma representing the value of (t) will cycle.
Half way down the leftside of the display are buttons that determine which numbers change.
The R-ELEMENT button sets the  (V)EE or (T)EE side.
The +/- buttons set the sign of the numbers.
As you cycle through the numbers, note that associated assemblies of V and T elements are displayed.
Click Decay of the Muon to see Feynman Diagram
Click clear to begin combinatorial model.
Set System Button to display System 1
If you alternate clicking on ordered pairs. your numbers will zero.
Next click R-Elements until +/-1*TEE is displayed then click the (-) button.
Click the green topmost ordered pair rectangle to display (0/2 , -3) to represent the muon.
Click on the bottom ordered pair of the yellow square until (0/2 , -3) displays.
Click on R-Element and then the (+) button to display 1*VEE.
Click on the bottom ordered pair of the yellow square until (3/2 , -3) displays representing a W-.
The top ordered pair  of the yellow square will display (-3/2 , 0) representing a muon neutrino. . Click on the bottom ordered pair of the blue square. Continue until (1/2 , 0) displays. The Top blue square  pair will display (-1/2 , 0) and the middle green rectangle will display (2/2 , -3)
 Click System Button to display System 2 and mouse over top and bottom pairs of blue square to see neutrino (T , T , T ) (V'  , T ) and anti-neutrino (T , T , T ) (V'  , T ) assemblies.
Click System Button to display System 1 and mouse over yellow square ordered pairs and middle green rectangle.
Sum the displayed series of +/-V elements and sum the displayed series of +/-T elements.
Each element counts as +/-(1) and opposite signed rishon elements sum to (0).
The sums will equal the left and right numbers of the ordered pairs respectively.
A close inspection of the V and T assemblies reveals triangles of elements.
There is either two V's above and one T below or two T's below and one V above.
Each triangle is designated as a V or T group by the single element above for V's and below for T's.
The negating or anti-elements  are (+V's) and (-T's), V and T.
Thereby you can see the muon includes in the yellow square the muon neutrino and W boson V and T elements assembly(V , V , V) and ( V'  , T' ) The middle green rectangle and bottom blue square V and T assemblies represent repectively the electron and the anti-neutrino
(T , T , T )
(T ' , T)  and  (T , T , T ) ( V'  , T ) These assemblies will reduce to (T , T' , T ) and  ( T ,V' , T )
See introduction to display program above.
Click S-quark and Kaon Decay to see Feynman Diagram.
The Kaon Minus is composed of a anti-Uquark and a Squark.
Click R-Elements until +/-1*TEE is displayed then click the (-) button to begin combinatorial model. Click the green topmost ordered pair rectangle to display (0/2 , -1). Click R-Elements until +/-1*VEE is displayed then click the (+). Click the green topmost ordered pair rectangle to display (2/2 , -1) button to represent an Squark.
Move mouse over green and yellow ordered pairs to display assemblies. Sum the displayed series of +/-V elements and sum the displayed series of +/-T elements.
Thereby you can see the SQuark includes at the top of the yellow square the groups (T , V , V ) and at the bottom of the yellow square the groups (T' . T')
Next click R-Elements until +/-1*TEE is displayed then click the (-) button.
Click the blue ordered pair rectangle to display (0/2 , -3). Next click R-Elements until +/-1*VEE is displayed then click the (+) button and Click the blue ordered pair rectangle to display (3/2 , -3)
Click the (-) button to display -1*VEE. Click the bottom ordered pair of the yellow square until (-2/2 , 0) displays representing a Boson Zero.
The top yellow pair will display (-3/2 , 2) representing a Uquark that paired with the anti-Uquark of the Kaon composes a Neutral Pion. See Feynman diagram. Move mouse over ordered pairs to display assemblies.
*Click the (+/-) button to display 1*VEE, and the botttom blue square pair to display (3/2 , 0)
 The two pairs of V and T assemblies of the blue square represent respectively the  and the anti-muon neutrino and the muon. (V , V , V ) and (T , T , T ).
*Alternatively, click the R-Element button to display -1*TEE, and the botttom blue square pair to display (0/2 , -2) then click R-Element, (+) and the botttom blue square pair to display (3/2 , -2)
 The two pairs of V and T assemblies of the blue square represent respectively the Dquark and the anti-Uquark (T , V , V ) (T , T) and (V , T , T ) (T , T). These assemblies constitute a Negative Pion.

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