where Φ$_{f}$ and Φ$_{w}$ are the 24 representation of SU (5) group. The breaking component is where the subscript i = f, w. From (11) − (12) we obtain | σ$_{w}$ | = | σ$_{f}$ | because of the symmetry of s − matter and f − matter . Both σ$_{i}$ and m ( ϕ$_{i}$ ) are functions of temperature T . When T ≥ T$_{cr}$, σ$_{i}$ = m ( ϕ$_{i}$ ) = 0. Consequently f − particles and w − particles can easily transform from one to another so that ρ$_{F}$ = ρ$_{W}$ . When T ∼ 0 , both | σ$_{i}$ | and m ( ϕ$_{i}$ ) are large enough. Consequently interaction between f − particles and w − particles by the scalar bosons may be ignored. Thus there is only the gravitation between f − matter and w − matter when temperature is low . There are the couplings of fermions (and gauge particles) and scalar bosons $^{[7]}$. Hence there are the interactions of f − fermions and w − fermions shown in figures 1-3 and the interactions of f − gauge bosons and w − gauge bosons via the scalar bosons ϕ$_{f}$ and ϕ$_{w}$. In the figures the dotted lines with arrows denote W − fermion field ψ$_{w}$ , the dotted lines without arrow denote W − scalar field ϕ$_{w}$, the lines with arrows denote F − fermion field ψ$_{f}$ , the lines without arrow denote F − scalar field ϕ$_{f}$, M 2 = − 2 Aσ$_{f}$σ$_{w}$ , R$_{f}$ = − Aσ$_{f}$ , R$_{w}$ = − Aσ$_{w}$ and S = − A/ 2 . It can be seen from figure 1 and (13) that when − Aσ$_{f}$σ$_{w}$ > 0 and k 2 − m 2 < 0 or − Aσ$_{f}$σ$_{w}$ < 0 and k 2 − m 2 > 0 , f − fermions and w − fermions are repulsive each other; when − Aσ$_{f}$σ$_{w}$ > 0 and k 2 − m 2 > 0 or − Aσ$_{f}$σ$_{w}$ < 0 and k 2 − m 2 < 0 , f − fermions and w − fermions are attractive each other. According to the present model [3 , $^{4]}$, v − UF M and v − UW M cannot form cluster, loosely distribute in space and have positive gravitational masses, hence both should be identified as cold dark matter. From (10) we have V. FEATURES AND OBSERVATION OF DARK MATTER IN PRESENT MODEL ρ$_{vFu}$ + ρ$_{vWu}$ ρ$_{v}$ = 0 . 095 × 2 0 . 27 = 19 27 , ρ$_{vFu}$ + ρ$_{vWu}$ ρ$_{vD}$ = 0 . 095 × 2 0 . 23 = 19 23 . (14) 7 V$_{fw}$ = − A ( 2 σ$_{f}$σ$_{w}$ϕ$_{f}$ϕ$_{w}$ + σ$_{f}$ϕ$_{f}$ϕ 2 w + σ$_{w}$ϕ$_{w}$ϕ 2 f + 1 2 ϕ 2 $_{f}$ϕ 2 w ) . (13) Φ$_{i}$ = Diagonal ( 1 , 1 , 1 , − 3 2 , − 3 2 ) ( σ$_{i}$ + ϕ$_{i}$ ) , (12)