Monday, December 9, 2013

Possible New Group of LU8 for Dark Matter and The Elementary Particle interactions by KLN : Dt. 26-7-2013

Volume 2013 Issue No.7, Dt. 26 July 2013 Time: 12h34m. P. M.
Possible New Group of LU8 for Dark Matter
and The Elementary Particle interactions
by
Professor Dr Kotcherlakota Lakshmi Narayana,
{Retd. Prof.of Physics, SU, Kolhapur} 17-11-10, Narasimha Ashram,
Official Colony, Maharanipeta.P.O. Visakhapatnam -530002,
Mobile No. 9491902867 & 9542717723

Key Words: LU8 Group, Dark Matter, Current Expressions, Observation of Dark Energy, Dark Matter, Higgs Field inventive thought, Dark Plasma, Quintessence, Andromeda Galaxy Dark Matter Gravitational effects, Visakhapatnam event of Dark Matter observation, newer Dark elements.

ABSTRACT

                  The group LU8 has been vividly analyzed with the object of relating it to the known conventional Elementary Particles, with positive quantities  Z, Y, I0, I+,  S-,  u +,  B1, I+ b,  S- b, u+ b, J+,  v +,  B2,  J+ b, v + b,  S+,  S+ b,   w +, B3, w + b, B4, L1, I+ l, u + l, I01,  I02, Z’,  Y’, B, I+’, u +’, L2, J+ l, v +’, S+l, L3, w + l, S+’, w +’, L4  to form the group, as with the corresponding negative numbers, not listed. We derived just six quantum numbers I0Z , Y , Z’ , Y’, and B=0 to describe the various possible configurations of the LU8 symmetry. 
      
       The current expression specifically for α=1 and β=2 we get for
lv μ) 21 = LƗ2λ γμ Lλ 1 - LƗλ 1 γμ L2 λ . I specifically state that one should imagine that Z’, Y’ essentially describe the Dark Matter multiplet associated with the normal LU8 particles. Several current expressions are given.

In the flash lightning at Visakhapatnam photographed on luckily by the author, July 15th, 2011, followed by a mild earthquake in that region of observation supports the idea that they could be colliding particles of Dark Matter. Visakhapatnam City observation by the author of a DARK Matter Event is really surprising.

2013 Nobel Prize award is controversial in the sense that the Higgs Boson, though a particle of certain mass of 125GeV, is apparently consistent to the theory of Einstein that the mass less particles move with speed of light but, interaction seems as the mechanism of mass acquisition by particles. Higgs field seems to be an inventive thought.[Ref. No.29]

A new theory of Dark Energy and Matter, under LU8 symmetry group theory, is presented.


INTRODUCTION
    
 A set of operators introduced to define the new group LU8 with about 64 generators of continuous transformations. The aμ and aƗμ (where the symbol “l” stands for the Hermitian conjugation) be the creation and annihilation operators for a particle in a quantum state.

Here μ varies over eight suffixes from 1 to 8 respectively not summed over. Surprisingly, the I0, Z, Y are the three quantum numbers of the upper matrix while the I01, I02, Z’, Y’, and B are the five quantum numbers of the lower triangular matrix.

The Group Formation

Under the group LU8,  I define
      Lβα= [L1L2L31 L41 L51 L61 L71 L81; L1L2L32 L42 L52 L62 L72 L82;
                L1L2L33 L43 L53 L63 L73 L83; L1L2L34 L44 L54 L64 L74 L84;
                L1L2L35 L45 L55 L65 L75 L85; L1L2L36 L46 L56 L66 L76 L86;
                L1L2L37 L47 L57 L67 L77 L87; L1L2L38 L48 L58 L68 L78 L88]
                                                                                      --------------(1)

with the terms as

define 1/4*( a1*a1 Ɨ + a2*a2 Ɨ +  a3*a3 Ɨ - a4* a4 Ɨ) =B,
L11=1/2*(z+y) + I0;  L21 =I+;  L31 =S-;  L41 = u +;  L51 =B1;    L61 =I+ b; L71 =S- b;  L81 =u+ b L12=I-;    L22=1/2*(z+y)-I0;   L32=J+; L42= v +;  L52 = I-b;   L62 =B2;  L72 =J+ b;L82= v + b; L13=S+;   L23=J-;   L33=-y;  L43= w +; L53=S+ b;  L63 =J- b;   L73=B3;  L83= w + b;L14= u - ;   L24= v -; L34= w -; L44=-z;  L54= u - b;   L64 = v - b;   L74= w - b; L84= B4;L15= L1;  L25= I+l;  L35=S- l; L45= u + l; L55=(1/6)*(5*I01-I02+(z’+y’)-B);  L65 =I+’; L75 =S-‘;  L85 = u +’; L16 = I- l; L26=L2; L36=J+ l; L46=v+ l ; L56=I-‘; L66=(1/6)*(-I01+5*I02+(z’+y’)-B); L76=J+’ ;  L86 = v +’; L17= S+l; L27=J- l;  L37=L3; L47= w + l;  L57=S+’;  L67=J-‘; L77= -y’;  L87= w +’;L18= u -l;  L28= v -l;  L38= w - l;  L48=L4; L58= u -‘; L68= v -‘;  L78= w-‘; L88=-z’; 
                                                            --------------------------(2)

      Here
         z, y, I0, I+,  S-,   u +,  B1, I+ b,  S- b, u+ b, J+,  v +,  B2,  J+ b, v + b,  S+, w +
S+ b,  B3, w + b, B4, L1, I+l, u + l, I01,  I02, z’,  y’, B, I+’, u +’, L2, J+ l, v +’, S+l, L3, w + l S+’, w +’, L4 ------------------------------------(3)
are the generally positive quantities and with  the associated negative entities would form the complete set of quantum numbers of the LU8 group.

THE CURRENT EXPRESSION

We adopt the conventional current expressions as
                     lv μ) βα = L’βλ γμ Lλ α     -     L’λ α γμ Lβ λ     -------------------------(4)
where L’ implies an adjoint operator of L exclusively.

Expanding we obtain for the specific cases the expressions as given below: Specifically for α=1 and β=2 we get for
           lv μ) 21   =      L’2λ γμ Lλ 1     -     L’λ 1 γμ L2 λ    
   = (L’21 γμ L1 1  +  L’22 γμ γμ L2 1  +  L’23 γμ L3 1  + 
       L’24 γμ L4 1 +  L’25 γμ L5 1 + L’26 γμ L6 1   + L’27 γμ L7 1  +  
       L’28 γμ L8 1)   - 
      (L’1 1 γμ L2 1 + L’2 1 γμ L2 2 + L’3 1 γμ L2 3 + L’4 1 γμ L2 4 +
       L’5 1 γμ L2 5 + L’6 1 γμ L2 6 + L’7 1 γμ L2 7 + L’8 1 γμ L2 8 )  

  = (   (I+ γμ (1/2*(Z+Y)-I0+  (1/2*(Z+Y)  - I0)  γμ  I +  +  J- γμ S- + v- γμ u + ) +
           ( Ib-  γμ  L1 + L2 γμ  I+ b  + J- l γμ S- b + v l    γμ  u+ b )  -
    (   ( (1/2*(Z+Y’)+I0)   γμ I+   +  I+  γμ   (1/2*(Z+Y)-I0)  + S- γμ J- +  u+  γμ  v - )   
     +  ( B1 γμ I+l   +  I+ b γμ L2   +   S- b γμ J- l + u+ b   γμ  vl ) --------------(5)

Several current quantities exist, such as exist

lv μ) 31  ,  lv μ) 41  ,  lv μ) 51  , lv μ) 61 ,   lv μ) 71   , lv μ) 81   and
lv μ) 32  ,  lv μ) 42  ,  lv μ) 52  , lv μ) 62 ,   lv μ) 72   , lv μ) 8,
lv μ) 43  ,   lv μ) 53  , lv μ) 63 ,   lv μ) 73   , lv μ) 8;   etc.-------------(6)

              It is convenient to just consider the LU4 part of the LU8 expressions. A simplified expression for the LU4 part is given by

    = (L’21 γμ L1 1  +  L’22 γμ L2 1  +  L’23 γμ L3 1  +  L’24 γμ L4 1)         - (L’1 1 γμ L2 1 + L’2 1 γμ L2 2 + L’3 1 γμ L2 3 + L’4 1 γμ L2 4 )

Note the other part LU4 of LU8 is given by

      (L’25 γμ L5 1 + L’26 γμ L6 1   + L’27 γμ L7 1  +  L’28 γμ L8 1)   -
      (L’5 1 γμ L2 5 + L’6 1 γμ L2 6 + L’7 1 γμ L2 7 + L’8 1 γμ L2 8 )   

The difference being in the associated quantum numbers,
                        for example L55 is given by

                                     L55   = (1/6)*(5*I01 - I02  +  (z’+y’) - B)-----------------(7)

We have the following quantum numbers pattern
                 (unlike the conventional SU(8) symmetry)

                                                I0       z      y  
and                I01      I02     z’     y’    B --------------------------(8)

which are reduced to just six stated above.

SU(8) symmetry

An expression for the B may be obtained in comparison with the
 SU(8) symmetry as
            B= 4*λ24/3√10  +  2*λ35/√15  +  3*λ48/√21  -  3*λ63/√28----------------(9)
where λ’s are  the conventional SU(8) symmetry quantum numbers. (See my publication of ARTICLE 13 Ref.1 given below). The expressions given here for the different entities differ from those that defined by Behram Kursunoglu, 1964 [Ref.2].

Annihilation and Creation Operators

    Use { ½*(z+y) +I0     I+         S-    u+  |  B1    I+b     S-b   u+b ;
I-              ½*(z+y) - I0   J+      v+  |  I-b    B2     J+b    v+b
S+           J-                   -y     ω+ |  S+b   J-b     B3     ω+b ;
u-                  v-                   ω-     -z  |   u-b    v-   ω-  B4  ;
-------------------------------------|---------------------------
L1         I+l                S-l    u+l   |  L5    I+     S-   u+;
I-            L2                J+l     v+l    |  I-     L66     J+    v+
S+l         J-l                  L3     ω+l   |  S+     J-       -y’  ω+
 u- l         v- l                 ω-l     L4  |  u-‘      v-‘      ω-   -z’ }-------------(10)

                       Here we have ,
                      L55=(1/6)*(5*I01-I02+(z’+y’)-B)=a5*a5Ɨ
                      L66=(1/6)*(-I01+5*I02+(z’+y’)-B)=a6*a6Ɨ;--------------------------(11)

A new approach by the author on 28 April 1979

       [Ref: 1, 13, 12 and14 listed below]

 a*I0” = - [ λ35/ √ 15 +  λ48 / √21 +  (4/5) * +  λ48 / √21 +  (4/5) * λ63/√28];--(12)
            Uses the approximation

            a*I0”= -[ I0’ +1/6* (y’+z’)]= -[1/15 + 2/24]= a*(1/10) ----------------(13)
which yields  a=-3/2 and quantum condition

                     [a*I”0+ I0’ +1/6*(y’+z’)]=0 -------------------(14)
yields
                  4*a*I0”=- 4*[ I0’ +1/6* (y’+z’)] -----------------------(15)
    Hence the fifth diagonal element termed as

D55=1/6*(y’+z’)- 4* a*I0” + I0’  = [I0’+ 1/6*(y’+ z’)] + 4*[ I0’+ 1/6*(y’+ z’)]
                                       =5* I0’ + 5/6 * (y’+ z’) --------------------(16)
 D55- D66= 2* I0’ + 2/3  * (y’+ z’)  ---------------------(17)
         and D11- D22= 2* I0 ;------------------------------(18)

It yields

D11= ½*(y+z)+I0 ; D22= ½*(y+z)-I0 ; D33=-y; D44=-z; -------------------------(19)
D55= 5/6* (y’+z’)+ 5*I’0 = 5*{ λ35/ √15   +  λ48/√21  +  λ63/√28);--------(20)
D66= 1/6* (y’+z’)- 5*I’0 ---------------------(21)
D77= - y’; D88= -z’;--------------------------------(22)
D55= 1/6*(y’+z’) –  4* I0” *a + I0’;-------------------(23)

Actually we have

y= ( 2/√3) * λ8 –   λ15/ √6 – a* λ24/√10 - λ35/ √15   -  λ48/√21  -  λ63/√28;-----(24)
z= 3/ √6* λ15  - a* λ24/√10 - λ35/ √15   -  λ48/√21  -  λ63/√28;------------------(25)

Instead of λ24/√10 use the condition

λ24/√10  =(1/a)* [λ35/ √15   + λ48/√21  +  λ63/√28];------------------------------(26)
                with aǂ0. Yields a* I0”= -[ I0’ +(1/6)* (y’+z’)];---------------(27)

    Then    I0 = 2*λ3 ;    y=( 2/√3) * λ8 –   λ15/ √6 ;   z= 3/ √6* λ15 ; ---------(28)

              Here
             a* λ24/ √10= - [  λ35/ √ 15  + λ48 / √21 +  λ63/√28];----------------------(29)

     again
                 I0’ =  (1/5)* [5* λ35/ √ 15  +   4 * λ63/√28]; --------------------(30)
                 y’= [ 6* λ48 / √21 -   λ63/√28];-------------------------------(31)
                 z’= 7* λ63/√28;------------------------------------(32)
            y+z= (a1 * a1Ɨ   +  a2 * a2Ɨ);-------------------------------(33)
            y’+z’ = (b1 * b1Ɨ   +  b2 * b2Ɨ)    = - (b3 * b3Ɨ   +  b4 * b4Ɨ);----------------(34)
            y’= - b3 * b3Ɨ   ;  z’= - b4 * b4Ɨ; ---------------------------------(35)
            I0’= (1/6 )*( b1 * b1Ɨ   - 5*  b2 * b2Ɨ);     I0”= 1/10; ------------------------(36)

Identification of Some Mesons under SU(8)

[Dt.28 April 2013;]    Here  a= - 3/2.
λ3  + λ8/√3  + λ15/√6 + [0]= a1 * a1Ɨ   = π0/√2  + η/√6 + Mc/√8= ½*(y+z)+ I0;
 -λ3  + λ8/√3  + λ15/√6 + [0]= a2 * a2Ɨ = -  π0/√2  + η/√6 + Mc/√8= ½*(y+z)- I0;
-2*λ8/√3  + λ15/√6 + [0]= a3 * a3Ɨ = -2* η/√6 + Mc/√8= -y;
            -3*λ15/√6 + [0]= a4 * a4Ɨ = - 3*Mc/√8= -z;-----------------------------(37)

  Here vanishing condition is

     [0]=  λ24/ √10 + [  λ35/ √ 15  + λ48 / √21 +  λ63/√28]* (1/a);----------------(38) 
   with choice a= -3/2.

5*[ λ35/ √15   + λ48/√21  + λ63/√28]= b1 * b1Ɨ   = ρ0 /√2 + φ0/√6 + ω0/√8=
=1/6* (y’+ z’) + I0 ‘- 4* I0”*a;--------------------------(39)
-5* λ35/ √15   + λ48/√21  + λ63/√28]= b2 * b2Ɨ   = -ρ0 /√2 + φ0/√6 + ω0/√8=
=1/6* (y’+ z’) - 5* I0’;-----------------------------------(40)
-6* λ48/√21  + λ63/√28]= b3 * b3Ɨ =  - 2* φ0/√6 + ω0/√8= - y’;-------------(41)
- 7*λ63/√28= b 4* b4Ɨ =  -3*ω0/√8= - z’;---------------------------------(42)

Note that

I0 = 2 * λ3;  ------------(43)
y=2*λ8/√3  -  λ15/√6;--------------(44)
z= 3* λ15/√6 ; --------------------------(45)
4* I0” *a= -[ λ35/ √15   + λ48/√21  + (4/5)* λ63/√28];----------------(46)
I0’ = 1/5* [ 5* λ35/ √15   +  4* λ63/√28];--------------------------(47)
y’= [6* λ48/√21  - λ63/√28];-------------------------------------------(48)
z’= 7* λ63/√28;----------------------------------------------------(49)

Expressions from 37 to 49 were first worked out on Dt. 28 April 1979.
 [Ref: 1,13,12 and 14 listed below.]

Some new identification are,

ρ0+ φ0 + ω0= D55;    5*χ0= -( ρ0+ φ0 + ω0);   -ρ0+ φ0 + ω0= D66;
ρ= ρ0/5 – (2/15) * φ-  (2/15)* ω0; -2*φ0 + ω0= D77;
Vc= (3/7)* ω0;  φ = (1/3)*φ0 – (2/21)*ω0;   -3* ω0= D88;----------------(50)
Table of adopted Quantum Specifications for Elementary Particles,
½(y+z)+I0
½(y+z)-I0
-y
-z
1/6(y’+z’)+ I0’-4* I0a
½(y’+z’)-5I’0
-y
-z’=
7* λ63/√28
3/2
-1/2
-1/2
-1/2
¾
-1/4
-1/4
-1/4
-1/2
3/2
-1/2
-1/2
¾
-1/4
-1/4
-1/4
-1/2
-1/2
3/2
-1/2
¾
-1/4
-1/4
-1/4
-1/2
-1/2
-1/2
3/2
¾
-1/4
-1/4
-1/4
0
0
0
0
¾
-1/4
-1/4
-1/4
0
0
0
0
-5/4
¼
-1/4
-1/4
0
0
0
0
-5/4
¼
+7/4
-1/4
0
0
0
0
-5/4
¼
-1/4
+7/4
Note 1/6* (y’+ z’) - 5* I0’= [-5* λ35/ √15   + λ48/√21  + λ63/√28];

It is possible to identify
I0 = 2*λ3; y=(2/√3)* λ8/√3-  λ15/√6; z= (3/ √6 )* λ15/√6;
I0’ = (1/5)*[ (5/√15)* λ35  + (4/√28) * λ63; y’=(6/√21)* λ48-  λ63/√28; z’= (7/√28) λ63;
1/6(y’+z’)+ I0’-4* I0a= 5*[ λ35/ √15   + λ48/√21  + λ63/√28];
-4* I0a = 4*[ λ35/ √15   + λ48/√21  + (4/5)*λ63/√28];-------------------------(51)
The possible values for the I0 , y, z,   I0’ , y’, z’            
  I0           
y  
z
I0’        
   Y’                 
z’
1
  1/2              
1/2
2/21   
1/4
1/4
-1
1/2
1/2
2/21
1/4
1/4
0
-3/2
1/2
2/21
1/4
1/4
0
1/2
-3/2
2/21
1/4
1/4
0
0
0
2/21
1/4
1/4
0
0
0
-32/105
1/4
1/4
0
0
0
1/35
-7/4
1/4
0
0
0
-5
1/4
-7/4
we have used here the condition that a= -3/2
λ3
2 λ8/3
15/6
λ24/10
λ 35/15
48/21
63/28
1
2/3
1/2
1/10
1/15
6/21
¼
-1
2/3
1/2
1/10
1/15
6/21
¼
0
-4/3
1/2
1/10
1/15
6/21
¼
0
0
-3/2
1/10
1/15
6/21
¼
0
0
0
-4/10
1/15
6/21
¼
0
0
0
0
-5/15
6/21
¼
0
0
0
0
0
-36/21
¼
0
0
0
0
0
0
-7/4
Note y= 2 λ8/3 - 15/6 ;     y’= 48/21- λ 63/28;    z’=7 λ 63/28;

Earlier Identification made in April 1979
[Refer Nos. 1, 12, 13 and 14]

N βα=[ π0/2  +η/6+ M0c /8    π+   κ+  M1C : Σ0/2 0/6+ B0c/8  Σ+ p   B1C;
   π -   -π0/2  +η/6+ M0c /8  κ0  M2C: Σ-   -Σ0/2 0/6+ B0c/8    n    B2C;
   κ-       ‾κ0     -2 η/6+ M0c /8     M3C : Ξ-     Ξ0    -2Λ0/6+ B0c/8   B3C;
   M’1C     M’2C       M’3C       -3* M0c /8 :  B’1C    B’2C     B’3C      -3* B0c/8;
aχ χ/2 +aψψ/6+ al*l0c/8      aμμ+   aee+   aνγe+: ρ0/2+ φ0/6+V0c/   ρ+         κ+π      V1c;
 a’μμ-  -aχ χ/2  +aψψ/6+ al*l0c/8   L63    L2c    : ρ-      - ρ0/2+ φ0/6+V0c/       κ0π      V2c;
a’ee-     L72       -2*aψψ/6+ al*l0c/8       L3: κ-π        ‾κ0π       - 2*φ0/6+V0c/     V3c;
L’c1        L’ c 2         L’ c 3        L0c : V’1 c       V’2 c       V’3c        V0 c
                             -------------------------------------------------------(52)
Here L c 2 = aτ τ  and L3ca’τ ντ  are charm neutrinos and the adjoint representation of the matrix termed as  ‾N βα . Note that here the symbol  “” represents the adjoint operation.

A current expression is presented below.

‾N13 γμ N11   + ‾N23 γμ N12 + ‾N33 γμ N13   - ‾N31 γμ N11   - ‾N32 γμ N21 -
  ‾N33 γμ N31  

 = ‾Ξ‾ γμ0/√2 0/√6)   + ‾Ξ0 γμ Σ+   + ‾ (-2 Λ/√6) γμ  p 
     - ‾p  γμ0/√2 0/√6)   -   ‾n γμ Σ-  -  ‾ (2 Λ/√6)  γμ  Ξ 
                                                                        ------(53)
along with expressions from 39 to 49 given above. The above is review of my previous work and salient features of them.

A NEW THEORY:
DARK ENERGY AND MATTER LU8 SYMMETRY

       My approach is to identify the matrix elements of LU8 as
     LU8 =[ LU11            π+           κ+      M1C  :a1*a5Ɨ          sin3Θ cosΘ      sin2Θ cosΘ     sinΘ cosΘ; 
                  π -        LU22               κ0      M2C :-sin3Θ cosΘ       a2*a6Ɨ     sin2Θ cosΘ      sinΘ cosΘ; 
                   κ-       ‾κ0            -y      M3C :-sin2Θ cosΘ       -sinΘ cosΘ        a3*a7Ɨ      sinΘ cosΘ; 
                     M’1C      M’2C        M’3C    -z   :-sinΘ cosΘ     -sinΘ cosΘ     -sinΘ cosΘ     a4*a8Ɨ;
----------------------------------------------------------------------------------------------------------------------------------------------
                 a5*a1Ɨ         sin3Θ’ cosΘ’  sin2Θ’ cosΘ’  sinΘ’ cosΘ’: LU5     a5*a6Ɨ       a5*a7Ɨ   a5*a8Ɨ;
-             -sin3Θ’ cosΘ’  a6*a2Ɨ     sin2Θ’ cosΘ’  sinΘ’ cosΘ’: a6*a5Ɨ     LU66       a6*a7Ɨ   a6*a8Ɨ;
   -sin2Θ’cosΘ’  -sinΘ’cosΘ’      a7*a3Ɨ    sinΘ’ cosΘ’ : a7*a5Ɨ     a7*a6Ɨ    –y’    a7*a8Ɨ;
              -sinΘ’ cosΘ’  -sinΘ’ cosΘ’  -sinΘ’ cosΘ’    a8*a4Ɨ  : a8*a5Ɨ     a8*a6Ɨ    a8*a7Ɨ    -z’   ]-----(54)
I have introduced the Θ  and Θ’ angles.     

     The only identifications it appears that go through with the Dark Matter and Dark Energy entities are the mesons of the first quadrant of the matrix elements.
   
    The completely new LU55, LU66, y’ and z’ elements are identified with the newer Dark elements. Obviously, we have a remarkable set of triple 16 entities that describe the Dark scenario of the very elementary particles of the Beginning Universe.
    
   The retention of the mesons is guided by the fact that mesons do play a role of early universe as already envisaged by the author in his publication made in Indian Journal of Physics Vol.50,  pages 993-1002, 1976  and at Ind. Sci. Cong. Waltair, 1976.  This publication suggests a Pion mass fundamental published by the present author in 1976.

DARK PLASMA A NEWER CONCEPT

Dark Matter and Dark Mass involves, in my opinion, a Plasma State involving the newer set of quantities identified here in as the elementary entities.

NEW PHYSICS AND Zprima
       

On July 31, 2013 First Experimental Signs of a New Physics Beyond the Standard Model, a team of physicists from the Universitat Autònoma de Barcelona (UAB) and the French CNRS has predicted deviations in the probability of one of the B meson decays that have been detected experimentally in the LHC accelerator at CERN. The researchers claim that one of the New Physics models that could explain these results would be the one that postulates the existence of a new particle named Zprima [Ref. No. 27].


Dark matter presents a new physics beyond the standard model with three generations of fermions. Dark matter in association with a fourth generation of Chiral matter might exist. The scenarios presents stable heavy neutrino dark matter, composite Dark Matter consisting of stable heavy Chiral quarks, acting as mediators between the dark (hidden) and visible sectors, with the four-generation standard model with the minimal addition of a stable real scalar field.

The potential implication of the recent observation of a Higgs-like new particle at the LHC is interesting. [Ref.No.20b]

HIGGS-DARKON

The Higgs-Darkon coupling 𝜆 and the Darkon mass 𝑚𝐷= (𝑚20+𝜆 * 𝑣2𝐻)1/2, where 𝑣𝐻 is the Higgs vacuum expectation value. Since the𝜆 term in this leads to the Darkon relic density, 𝜆 can be extracted from the observed DM density once the Darkon and Higgs masses, 𝑚𝐷 and 𝑚, are specified. The latest findings from Higgs searches at the Tevatron, has spelled major trouble for the simplest version of the standard model with four generations.

Neutrino rest Mass is it real?

The energy of virtual photons is cosmologists' best guess of what lies behind the Dark Energy that is causing the universe's expansion to accelerate. Baryonic processes may solve the problem of ”the puzzling darkness of Milky Way subhaloes” (Boylan-Kolchin et al. 2011). Most astronomers assume that Dark Matter consists of "cold" (i.e. slow-moving) exotic particles that clump together gravitationally. Determining the dark matter content using the neutrino mass also has to be viewed from a different perspective since the rest mass can no longer be real.

DARK MATTER

 Pospelov and Pradler [Ref.No. 21] state light new particles with masses below 10 keV, often considered as a plausible extension of the standard model, will be emitted from the solar interior and can be detected on Earth with a variety of experimental tools. Here, we analyze the new “dark” vector state V, a massive vector boson mixed with the photon via an angle κ, that in the limit of the small mass mV has its emission spectrum strongly peaked at low energies.
`
 Delannoy and nine others [Ref.No.22b] report a feasibility study for the search of supersymmetric dark matter in the final state of two vector boson fusion jets and large missing transverse energy is presented at 14 TeV.

Prospects for determining the Dark Matter relic density are studied for the cases of wino and bino-Higgsino dark matter. The LHC could probe wino dark matter with mass up to approximately 600 GeV with a luminosity of 1000fb-1. [ Ref.No.22]. A possible test of this model is the existence of colored particles with TeV masses accessible at the LHC, now stopped and would be renewed after a few years of modifications, to realize higher energies of interacting protons.
         
               Dark Matter and Vector-like leptons from gauged lepton number, investigated a simple model where lepton number is promoted to a local U(1)L gauge symmetry which is then spontaneously broken, leading to a viable thermal Dark Matter (DM) candidate and vector-like leptons as a byproduct. [Ref. No.22c].
           
Das told Physicsworld.com that “the gravitational influence of these structures, possibly dominated by clumps of Dark Matter, will each deflect the path of photon”.

The CMS Collaboration

According to a statement by CERN, for every billion B-sub-smesons produced, only three or so are expected to decay into two Muons, heavier cousins of the electron. That expectation is confirmed by the new data. Physicists look for results inconsistent with those predicted by the Standard Model to expand knowledge of the physical world but that didn't happen here. "The news is that the Standard Model has predicted that this B-sub-s meson will decay to two muons very, very rarely, and that is what we've seen". Refer the CMS collaboration.  Measurement of the B0s  μ+μbranching fraction and search for B0s  μ+μ- with the CMS experiment.  [Ref. No. 21].

Quintessence

The Royal Society on January 13, 2011 report by P. J. Steinhardt, [Ref.No.24] in the paper “A quintessential introduction to Dark Energy states that most of the energy in the Universe consists of some form of Dark Energy that is gravitationally self-repulsive and that is causing the expansion of the Universe to accelerate.”

Quintessence is characterized by its equation of state ω ≡ p/ρ, where p is the pressure and ρ is the energy density. Most models have 0 ≥ ω > - 1, whereas a cosmological constant has ω precisely equal to -1. The smaller is the value of ω the greater it’s accelerating erect. Unlike a cosmological constant, the quintessential pressure and energy density evolve in time, and ω may also do so.

Quintessence, which is spatially inhomogeneous, may be distinguished from the Cosmological Constant.

COLD Vs WARM Dark Matter

   ‘Indistingushability of warm Dark Matter, modified gravioty and coupled cold dark matter’ by  Wei,  Liu, Chen, Yan, [Ref. No. 25] the current accelerated expansion of our Universe could be due to an unknown energy component with negative pressure (Dark Energy) or a modification to general relativity (modified gravity). On the other hand, recently, warm Dark Matter remarkably rose as an alternative of cold Dark Matter. Obviously, it is of interest to distinguish these different types of models.

Dark Matter admixed white dwarfs, Leung, Chu, Lin, Wong [Ref.No.26a]  studied the equilibrium structures of white dwarfs with dark matter cores formed by non-self-annihilating Dark Matter (DM) particles with masses ranging from 1 GeV to 100 GeV, which are assumed to form an ideal degenerate Fermi gas inside the stars.

In Cosmology with Ricci dark Energy by Campo, Fabris, Herrera, Zimdahl, [Ref.No.26b] state cosmological dark sector to consist of pressureless matter and holographic Dark Energy with a cutoff length proportional to the Ricci Scale. But some researchers question whether the dark energy exists. (Credit James Wadsley, McMaster University, Hamilton, Ontario).

On June 10, 2013, Scientists Size Up Universe's Most Lightweight Dwarf Galaxy, Kirby, Boylan-Kolchin, Cohen, Geha, Bullock, Kaplinghat. SEGUE 2: THE LEAST MASSIVE GALAXY. [Ref. No. 28]  Segue 2's presence as a satellite of our home galaxy could be "a tip-of-the-iceberg observation, with perhaps thousands more very low-mass systems orbiting just beyond our ability to detect them". It's definitely a galaxy, not a star cluster," said postdoctoral scholar and lead author Evan Kirby. He explained that the stars are held together by a globule called a dark matter halo. Without this acting as galactic glue, the star body wouldn't qualify as a galaxy. Segue 2, discovered in 2009 as part of the massive Sloan Digital Sky Survey, is one of the faintest known galaxies, with light output just 900 times that of the sun. That's miniscule compared to the Milky Way, which shines 20 billion times brighter. But despite its tiny size, researchers using different tools originally thought Segue 2 was far denser.

DARK MATTER AND GRAVITY

            Dark Matter refers to undetectable matter or particles whose presence explains unexpected gravitational effects on galaxies and stars. Various assumptions were made on the composition of Dark Matter:    Molecular gas,   dead stars,   Brown dwarf stars etc. In the case of the Dark Matter known as "hot", the particles have speeds close to light.
       
              While the particles of Black Matter known as "cold" would be more massive and thus slower. In March 2000 cartography revealed that the Dark Matter takes the shape of long intersecting filaments. The quantity of matter of the universe should represent one third of that needed to reach the critical density, the remainder made up of Dark Energy. A new similar study in 1996 Astrophysicist Mellier by his team of scientists, with a larger CCD camera, allowing the study of 20 times the previous field of view observed the Dark Matter. Difficulties distinguishing, the Dark Energy, from modified gravity vis-à-vis redshift distortions suggested by Simpson and Peacock [Ref. 20] seems to be very speculative.

Accurate weight for the Neutrino has potentially an upper limit of just 0.1 electron volts. Of all the hypothetical candidates for the mysterious Dark Matter, so far neutrinos provide the only example of Dark Matter that actually exists in nature. Studies of spiral galaxies such as Andromeda, pictured here in infrared wavelengths, have provided clues to Dark Matter's gravitational effects.

Dark Matter Annihilation

If Dark Matter particles in the Sun, for instance, undergo self-annihilation, then such annihilation events could create high-energy neutrinos that would potentially be detectable with ground-based neutrino telescopes.

Xenon100 is designed to search for the most favored Dark Matter particle candidate—the weakly interacting massive particle (WIMP)—by watching for signs that a WIMP has recoiled off an atom in a tank of liquid xenon. Current direct detection scenarios include potential Dark Matter particles with masses between one and 1,000 times the mass of a proton and with interaction "cross-sections" roughly one trillionth the size of a neutron.

DWARF GALAXIES

Most astronomers assume that Dark Matter consists of "cold" (i.e. slow-moving) exotic particles that clump together gravitationally. Over time these dark matter clumps grow and attract normal matter. Dwarf galaxies are composed of up to 99 percent Dark Matter and only one percent normal matter like stars. The presence of a new force in the Dark sector, with a Compton wavelength   mφ-1 ≥ 1 GeV-1 is imagined by several researchers. [Ref. No.30].

NUMERICAL DATA

With volume  λ3π , where λ π = h/m π c is the Compton wave length of Pion same order as Dark energy density (ρ de) i.e.
                          ρde =(A/2*π) (ħ /c)* R”/ λ3 π --------------------------(55)
 where A is a dimensional constant. With A =2 i.e. yields present day value      
                           ρde,0= 6.87x10-10 J/m3.    --------------------------------(56)
 Dragan Slavkov Hajdukovic [Ref.3] 
            ρde= (c^4/(8*π*G) )* Λ=  G  * m*c4/h4= 9.6x10-9 J/m3-------------(57)
                 = 7.5E-27 kg/ m3-------------------(58)
 also suggested by Zeldovich [Ref.4,5].                 

With Λ cosmological constant, m is close to mass of Pion but changes with age of Universe [Ref. 19]. Taking mass mx= 3.25E-68Kg termed as minimum mass of the universe and Mplanck as sqrt (ħ*c/G). The Cosmological constants were discussed by P. A. M. Dirac [Ref.6, 7] but he has not involved the Dark Energy of the Universe.

Gdark=SU(2)xU(1) with gauge bosons wμl and bμ, which we collectively term as aμl and the Dark Matter multiplet χ transforming as a triplet  under SU(2) and the neutral under the U(1) and it could be a scalar or  a Fermion. It was assumed that Dark Matter to have excited states, and non-Abelian group of gauge transformations. The Dark Matter multiplet splits since the gauge group is Higged [Ref.8].

The prediction that a massive early starburst would result in boosting the rate of Type II [Ref.9 and 9a] supernova (Mass >8 times Mass of Sun) production relative to the longer time scale for SNIa explosions and hence lead to an [α/Fe], enhancement in the stellar core. Massive neutrinos are the only form of non-baryonic Dark Matter known to exist. The advection-dominated accretion model for Sgr A, for the flow in the accretion disk around the central black hole in the Milky Way, The different processes mentioned [Ref.10-16] could be the source of production of Dark Matter and Dark Energy and further studies would eventually enlighten the serious researcher of this problem. The gravitational impedance is defined by
Zg=μ0g0g=2.796E-18 kg-1m2s-1. ----------------------------(59)
With μ0g=9.3317E-27 kg-1 m .       -----------------------------------(60)
Gravitational Resistance is Rg= (μ0g/4) v    in units of kg-1m2 s-1.------------(61)
Gravitational conductivity is kg m-3 s2.
The electromagnetic impedance is just 376.6Ω. Relation of impedance with the gravitational constants is very intriguing.  
It leads to Dark Matter impedance.

Dark Matter capture and annihilations in the Sun
and the Earth

Dark Matter is captured in celestial objects. Elastic scattering of Dark Matter against nuclei is ≤ 10(- 43) cm2 .
The capture rates are
Earth= 1.4x1021 s(-1) (TeV/mχ)2/3    -------------------------(62)
and
Sun= 4.1x1011 s(-1) (TeV/mχ)2/3   [Ref 16].-------------------(63)

IMPORTANT FINDING

I specifically state that one should imagine that Z’, Y’ essentially describe the Dark Matter multiplet and Dark Energy associated with the normal LU8 particles [Ref.18].

May 24, 2013 by Bob Yirka suggests that Dark-Matter-type gravity and “or possibly as I state an antigravity-like event, competes marveling with the visible Universe yet times!”.

Visakhapatnam City Observation of a possible DARK Matter Event

What constitutes the observed Dark Matter visible brilliance of light by the present author, on that fateful evening of rain and thunder shower that lashed almost one and half hours at the outskirts of Visakhapatnam city! [Ref. No. 18a]. On August  14th, 2011, trusciencetrutechnology@blogspot.com published Saturday, August 18, 2012 the observation of a up-going positron, in the flash lightning at Visakhapatnam photographed luckily by the author, followed by a mild earthquake in that region of observation supports the idea that they could be colliding particles of Dark Matter. The lightning was very furious during the actual Earth tremors happening seen brilliantly in Visakhapatnam near the Bus stand area of Gajuvaka. A photograph of the observed lightning has already been published by the present author in a previous publication of the trusciencetrutechnology@blogspot.com. [see Ref.29 listed below].

It is probably a wild wind of radiation from the Earth’s tremor! I quote that “I don’t think it makes you believe it must be Dark Matter, nor do I think it makes you believe it cannot be” a remark of particle theorist from New York University, report published in Phys. Review Letters on Friday! Whether the emitted positrons are an astonishing and puzzling signals of the Dark Matter observed, photographed by the present author and reviewed in a previous publication of this blogspot!.

GALAXIES      

Swiss astronomer Zwicky of CalTech decided to study a small group of seven galaxies in the Coma Cluster. The question of this difference between the dynamic and luminous mass was let aside for several decade, in spite of observations reported by Zwicky (1933) and Smith (1936). On a galaxy scale, the Dark Matter rate would be up to 10 times that of the luminous matter, but on the clusters' level, it would be much more important: up to 30 times the "visible" mass of these clusters.

On Aug. 6, 2013, Stunning Image of Nearby Galaxy M31, also known as the Andromeda Galaxy, is the spiral galaxy nearest to our own Milky Way Galaxy, 2.5 million light years from Earth. It is one of the brightest objects listed in the Messier catalog and has cornered the attention of observers since 964 A.D., when the Persian astronomer Al-Sufi wrote about it. Messier catalogued it as M31 in 1764, 800 years later, and it continues to intrigue the public and astronomers alike. It is visible to the naked eye on moonless nights, even in areas with moderate light pollution. 

 

NOBEL AWARD 2013

            The Britain Peter Higgs  and Belgium Francois Englert Physicists have been recognized for the Nobel Prize this year to the tune of Rs. 7.73crores (about 8 Million Swedish Kroners) award to be given on 10 December in Stockholm by the Swedish Crown. Due to the Higgs Bosons only, all particles are able to acquire their mass, is what is understood from this discovery, assisted by another six scientists in 1964 as well who were the coworkers with Higgs. Invisible field of the Universe possess these Higgs Bosons. A thorough look into Physics of Elementary Particles envisages that the new particles of different masses attributed to Higgs field, which is an invisible field of energy pervading the Universe. The elementary particles acquire mass by interacting with a “Higgs Field” that permeates all space proposed in 1964.The process is known as Higgs Mechanism. The field pervades the entire cosmos. All elementary particles acquire mass through interaction with Higgs Field. An earlier paper published by F. Englert and an American Robert Brout before the publication by Higgs, have a similar theory. CERN announced that the Higgs Boson exists on 4th July 2012. It has a mass 125 billion electron volts i.e. GeV which is 133 times heavier than proton. ATLAS and CMS confirmed the existence of this particle.

Author’s Comment: I am to point out that the Higgs Boson, though a particle of certain mass of 125GeV, is contrary to the theory of Einstein that the mass less particles move with speed of light but, interaction precludes the mechanism of mass acquisition by particles. Higgs field seems to be an inventive thought.

            Einstein thought “mass less” particles would travel with velocity of light, following diktats of Einstein’s Theory of Relativity. They have no present, future or past.

           


CONCLUSIONS

The method adopted here gives just six quantum numbers for the description of the LU8 symmetry. This is in total contrast with the normal SU(8) symmetry description of known elementary particles [Ref.12].

ACKNOWLEDGMENT
                   He is deeply indebted to Late Professor K. R. Rao D.Sc. (Madras). D.Sc. (London), Professor Emeritus, Andhra University, Waltair, who showed keen interest, supported and encouraged the author’s research endeavor.

APPENDIX
In terms of creation and annihilation operators, a set up is B which is a new Baryon number extended to LU8 group, (Behram Kurusunoglu), and then it is possible to write,
                 [Note 22 April 1979]
            ½*(y+z)+ I0 = D11= a1*a1Ɨ ;   -------------------(1a)
           ½*(y+z) - I0 = D22 = a2*a2Ɨ; -----------------(2a)
             D11- D22 = 2 * I0; -------------------------(3a)
            -y= D33= a3*a3Ɨ;-----------------------------(4a)
            -z=D44= a4*a4Ɨ;---------------------------(5a)
            -(y+z)= (a3*a3Ɨ + a4*a4Ɨ); -------------------(6a)
              or a1*a1Ɨ   +  a2*a2Ɨ = -(a3*a3Ɨ + a4*a4Ɨ);----------------------(7a)
              (y+z)= (a1*a1Ɨ   +  a2*a2Ɨ);--------------------------------(8a)
            Next
              5/6*I01 -1/6*I02 +1/6*(z’+y’)-1/6*B= D55 = b1*b1Ɨ;-------(9a)
              5/6 * (y’+ z’) + 5 * I0=  D55;----------------------(10a)
              1/6 *(y’+ z’) - 5 * I0’   =  D66; -----------------------(11a)
              -1/6*I01+5/6*I02+1/6*(z’+y’)-1/6*B= D66  = b2*b2Ɨ;----------------(12a)
              D55  -  D66 =  2 * I0+ 2/3 * (y’ +z’);---------------------(13a)
             -y’ =D77 = b3*b3Ɨ; ------------------------------(14a)
             -z’ =D88 = b4*b4Ɨ;------------------------------(15a)

              Bosonic                                          
             I0 = (a1*a1Ɨ   - a2*a2Ɨ)/ 2;         I0 = 2* λ3;  ------------------(16a)            
        y= - a3*a3Ɨ;  y=(2/√3)*λ8 – λ15/√6 – a*λ24/√10-λ35/√15 - λ48/√21 - λ63/√28;
         z= -  a4*a4Ɨ;      z=3/ √6* λ15  - a* λ24/√10 - λ35/ √15   -  λ48/√21  -  λ63/√28;   
              Fermionic
             I0 ‘= 1/6*(b1*b1Ɨ - 5* b2*b2Ɨ); I0 ‘=(1/5)* [5* λ35/ √ 15  +   4 * λ63/√28]; 
             y’ = - b3*b3Ɨ;                                    y’=   [ 6* λ48 / √21 -   λ63/√28];
             z’ = -  b4*b4Ɨ;                                   z’= 7* λ63/√28;--------------(17a)

with restriction that ‘a’ is such that

                 a* λ24/ √10= - [  λ35/ √ 15  + λ48 / √21 + λ63/√28]; --------------(18a)
                 I0’’ * a=-[ λ35/√15  + λ48/√21 + (4/5)*  λ63/√28]; -------------(19a)

[ Narayana.K.L. signed on 22 April 1979] 

           With  L55   and  L66 as D55 and D66 we get, using the above expressions,
         L55   +  L66 – y’– z’ = (2/3)*I01 + (2/3)*I02 +(1/3)*(z’+y’) – (1/3)*B– y’– z’,
= (2/3)*I01 + (2/3)*I02 - 2/3 * (y’+ z’) – (1/3)*B
= (2/3)*(I01  +  I02 – y’ – z’) – (1/3)*B;------------------------------(20a)

If B = 2*( I01 + I02 – y’ – z’) then the sum of diagonal terms of the lower 4x4 matrix also vanishes. This gives the idea that y’ + z’ = I01 + I02 gives the complete vanishing of the leading diagonal of the lower matrix of order 4x4. This ensures that B=0. 
              
                Therefore the leading quantum numbers of the present set up is 
                                   I0       z      y  
              and               z’     y’    B=0.----------------------(21a)

Rather a surprising result, but we note that the leading diagonals of the 8x8 matrix gives just the six quantum numbers with the condition satisfied for the diagonal term sums.

Note:        LU11=1/2*(z+y) + I0 = ½*[ a1*a1Ɨ -a2*a2Ɨ - a3*a3Ɨ + a4* a4Ɨ  + B]
                        = (3/4)*a1*a1Ɨ – (¼) *a2*a2Ɨ - (¼)*a3*a3Ɨ + (¼) * a4* a4Ɨ---------(22a)
              y= - a3*a3Ɨ + B;          z= a4* a4Ɨ + B; 
                   LU22=1/2*(z+y) - I0 = ½*[ -a1* a1Ɨ + a2*a2Ɨ - a3*a3Ɨ + a4* a4Ɨ + B];
                     = -(1/4)*a1* a1Ɨ +(3/4)*a2*a2Ɨ – (¼) * a3*a3Ɨ + (¼)*a4* a4Ɨ----------------(23a)
        Here we have  ½*[ a1*a1Ɨ -a2*a2Ɨ - a3*a3Ɨ + a4* a4Ɨ + B]+
     ½*[ -a1* a1Ɨ + a2*a2Ɨ - a3*a3Ɨ + a4* a4Ɨ + B] + a3*a3Ɨ – B – a4* a4Ɨ – B = 0;--------(24a)
 is the sum of the leading diagonal 4x4 matrix elements that vanishes.
                         
               For the Lower we have,
             LU55= a5*a5Ɨ = (1/6)*(5*I01-I02+(z’+y’)-B);  ------------(25a)
                          LU66= a6*a6Ɨ = (1/6)*(-I01+5*I02+(z’+y’)-B);----------------(27a)
                          LU55 +  LU66= 2/3*[ I01   +   I02 ]    + (z’+y’)/3   -   B/3 ;----------(28a)
                          If B=2*( I01 +  I02 – y’ – z’)------------------(29a)
 then sum of diagonals vanishes for the lower 4x4 matrix.
                            It yields that z’+y’  = I01 +  I02 ; ----------------------(30a)
====================================================
References
            1.  ARTICLE 13:  trusciencetrutechnology@blogspot.com  70th B’Day Volume 2009-2010
of KLN Prof. Dr. K L Narayana M. Inst. P (Lond) &  Miss S. P. Shahane, “SU(8) Unitary Symmetry with Bosonic and Fermionic Quarks and Lie Algebra”.
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                     University of Miami, Jan 30-31, 1964
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                     and Vol.330,p.1-5,2010.
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                   M.Sc. Dissertation 1985 by GVV, Shivaji University, Kolhapur.
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                  9 - 16 September, University of Kashmir, 1987
           16. P. Gondolo et al,  J. Cosmol. Astropart. Phys.07, p. 008, 2004
            17. K.L.Narayana, Indian Science Congress Association, Mathematics Section, Jammu Univ. Feb.3-7, 2014.
            18. “With Λ cosmological constant, m is close to mass of Pion but changes with age of Universe”,
                      K. L. Narayana and S. B. Patil,”A Physical model for two-particle baryon
                   Resonance systems and a postulation of medium and low interactions”,
                   Indian Journal of Physics Vol.50, pages 993-1002, 1976 and Ind. Sci. Cong. Waltair, 1976. 
                 This publication suggests a Pion mass fundamental in 1976.
                   Note:  “A modified DE BROGLIE WAVE EQUATION FOR ELEMENTARY PARTICLES
                                  is given in this paper by Prof. K.L.Narayana.”     
           19.   F Simpson and J A Peacock.   Phys.Rev. Vol. D81, p. 043512, 2010.     see reference 18 listed above.  
            20. a.Review Article “Heavy Chiral Fermions and Dark Matter”, Johan Alwall and Jusak Tandean,
                   Hindawi Publishing Corporation, Advances in High Energy Physics, Volume 2013,
                   Article ID 915897, 2013.
        b. Professor Dr. Kotcherlakota Lakshmi Narayana, trusciencetrutechnology@blogspot.com,
         Volume 2013, Issue No.10, October 1, 2013,  Time: 8h26m. AM. “Rainy Month of
          October 2013 and Occurrence of Earth Tremor in Visakhapatnam District on 
          October 8th, 2013”
    c. Refer the paragraph of this paper, “Author’s Comment: I am to point out that 2013 
       Nobel Prize award is controversial in the sense that the Higgs Boson, though a 
       particle of certain mass of 125 GeV, is apparently consistent to the theory of 
       Einstein that the “mass less” particles move with speed of light but, interaction 
       seems as the mechanism of mass acquisition by particles. Higgs field seems to be
      an inventive thought.”
             21. The CMS Collaboration. Measurement of the B0s  μ+μ-   branching fraction
                  and search for B0  μ+μ- with the CMS experiment. Physical Review Letters, 2013; (submitted).
           22. a. H An M. Pospelov, J. Pradler. Light new particles with masses below 10 keV, often considered as
                   a plausible extension of the standard model, will be emitted from the solar interior and can be
                   detected on Earth with a variety of experimental tools”,
                   Phys. Rev. Lett.  Vol.111, p.041302, 2013
                b.  A. G. Delannoy and nine others, Phys. Rev. Lett, Vol.111, p.061801, 2013.
                c. “Dark matter and vector like leptons from gauged lepton number”, by
                     Pedro Schwaller, Tim M.P. Tait, and Roberto Vega-Morales,
                     Phys. Rev. Vol. D88, 035001, 2013.
             23. S.C.Leung, M.C. Chu, L.M. Lin, K W Wong, “Dark Matter admixed white Dwarfs”,
                   Phys. Rev. D87, p.123506, 2013.
            24. The Royal Society on January 13, 2011 report by P. J. Steinhardt.
           25. H Wei, J Liu, Z.C. Chen, X. Yan, ‘Indistingushability of warm dark matter, modified
                Gravity and coupled cold dark matter’, Phys. Rev. Vol.D88, p.043510, 2013,
            26. a. S.C. Leung, M.C. Chu, L.M. Lin, K W Wong, “Dark Matter admixed white dwarfs studied
                  the equilibrium structures of white dwarfs with dark matter cores”,
                  Phys. Rev. D87, p.123506, 2013.
                b. S. D. Campo, J.C. Fabris, R. Herrera, W. Zimdahl,” Cosmology with Ricci dark
               Energy”, Phys. Rev. Vol.D87, p.123002, 2013.
           27.  “Postulates the existence of a new particle named Zprima, “   

                     First Experimental Signs of a New Physics beyond the Standard Model, July 31, 2013, 

                        A team of physicists from the Universitat Autònoma de Barcelona (UAB) and the French CNRS has

                       predicted deviations in the probability of one of the B meson decays that have been detected experimentally

                       in the LHC accelerator at CERN.  

           28. Evan N. Kirby, Michael Boylan-Kolchin, Judith G. Cohen, Marla Geha, James S.
                  Bullock, Manoj Kaplinghat. “SEGUE 2: THE LEAST MASSIVE GALAXY“,
                  The Astrophysical Journal, No.1, p.770, 2013.
            29. Saturday, August 18, 2012, trusciencetrutechnology@blogspot.com,
                   “EARTHQUAKES IN VISAKHAPATNAM, IN RUSSIA AND PAKISTAN AND CELESTIAL EVENT OF MARS AND
                    SATURN CONJUNCTION.”, Volume 2012, Issue No.8, Dt. 16 August 2012 Time: 9h23m A.M.;
                     Professor Dr. Kotcherlakota Lakshmi Narayana, {Retd.Prof.of Physics, SU} 17-11-10, Narasimha Ashram,
                     Official Colony, Maharanipeta.P.O. Visakhapatnam-530002.   Cell: 9491902867
                    An important observation made, by author, which was not previously reported by any one is
                    that the Earthquakes preceded and as well supported by heavy rains and intense lightning
                     of an unusual nature. This practically observed and lightning stroke recorded and analyzed
                     by me on the evening of 14 August 2012.’
                Present Explanation: This happening is interpreted by the author as a reverse flow of positive matter
                    from the Earth interior to the clouds that surrounded the origin of the lightning. Possibly a
                    Positron-like particles that were produced and moved upward to the sky or to the event origin
                    within the clouds. Does the conjunction events of Sun system produces anti-particles of sufficient magnitude
                     to fill up the Solar Space”? (A star of this magnitude is perhaps enough to produce the upward moving of
                     Anti-particles.)

                          Quadrupole Excitations, Professor Kotcherlakota Lakshmi Narayana,

                     http://trusciencetrutechnology.blogspot.com/ Dated: 23rd July 2008 at 11.30AM.

          31.  Hooman Davoudiasl, Phy.Rev D88, 095004 ,2013,5pages “ Gravitationally induced dark matter asymmetry
                  and dark nucleon decay”, Department of Physics, Brookhaven National Laboratory, Upton, New York 11973,

                 USA,Received  16 September 2013; published 8 November 2013

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