For example, if ρ$_{s}$ = ρ$_{vW}$ in the stage of the big bang nucleosynthesis, the evolving equations (7) − (8) become This is consistent with the conventional theory. Recent astronomical observations show that the universe expanded with a deceleration early and is expanding with an acceleration now. This implies that there is dark energy $^{[6]}$. ρ$_{de}$/ρ$_{tot}$ = 0 . 73 , ρ$_{M}$/ρ$_{tot}$ = 0 . 27, ρ$_{M}$ = ρ$_{V M}$ + ρ$_{DM}$ , ρ$_{V M}$ ∼ ρ$_{B}$, ρ$_{DM}$/ρ$_{tot}$ = 0 . 23 and ρ$_{B}$/ρ$_{tot}$ = 0 . 04, here ρ$_{de}$ is the density of dark energy, ρ$_{tot}$ is the density of the total energy of the universe ( c = 1), ρ$_{V M}$ is the energy density of visible matter, ρ$_{DM}$ is the energy density of dark matter, and ρ$_{B}$ is the energy density of visible baryon matter. According to the cosmological model without singularity $^{[5]}$, in the V − breaking , the effects of s − matter are equivalent to that of the so-called dark energy, and ρ$_{v}$ = ρ$_{M}$ . According to this dark-matter model [3 , 4], because of the symmetry of F − matter and W − matter , we have where ρ$_{v}$ is the total energy density of v − matter , ρ$_{vF}$ and ρ$_{vW}$ are respectively the energy density of v − F − matter and the energy density of v − W − matter, ρ$_{vFB}$ and ρ$_{vWB}$ are respectively the energy density of v − F − baryon matter ( v − F BM ) and the energy density of v − W − baryon matter ( v − W BM ), ρ$_{vFu}$ is the energy density of unknown v − F − matter ( v − UF M ) , ρ$_{vWu}$ is the energy density of v − W − matter ( v − UW M ) corresponding to v − UF M, and ρ$_{vD}$ is the total energy density of invisible v − matter . Here v − F BM is the given and visible matter which contains given baryon matter, black holes and neutrinos etc., F − matter contains v − F BM and invisible and unknown v − UF M . Considering ρ$_{vF}$ = ρ$_{vW}$ because F − matter and W − matter are symmetric and can transform from one into another when temperature is high enough, we can determine the ratios of a density to another. 5 ρ$_{M}$ = ρ$_{v}$ = ρ$_{vF}$ + ρ$_{vW}$ = 2 ρ$_{vF}$ , ρ$_{B}$ = ρ$_{vFB}$, ρ$_{vF}$ = ρ$_{vFB}$ + ρ$_{vFu}$, ρ$_{vW}$ = ρ$_{vWB}$ + ρ$_{vWu}$, ρ$_{vFB}$ = ρ$_{vWB}$, ρ$_{vFu}$ = ρ$_{vWu}$, ρ$_{vD}$ = ρ$_{vFu}$ + ρ$_{vW}$ = ρ$_{DM}$, (9) · R$^{2}$ ( t ) + K = ηρ$_{vF}$ R $^{2}$( t ) ·· R ( t ) = − 1 2 η ( ρ$_{vF}$ + 3 p$_{vF}$ ) R ( t ) , III. THE SORTS AND AVERAGE DENSITY OF DARK MATTER