When temperature rises to the critical temperature T$_{cr}$ because space contracts $^{[5]}$, ϖ$_{v}$ = ϖ$_{s}$ = 0 , ρ$_{v}$ = ρ$_{s}$, V$_{v}$ ( ϖ$_{v}$ ) = V$_{s}$ ( ϖ$_{s}$ ) = 0 so that V − matter is composed of v − F − matter and v − W − matter , s − matter is composed of s − F − matter and s − W − matter . F − matter and W − matter are symmetric so that divergence of loop corrections is eliminated and the energy of the vacuum is determined to be zero. There is only the gravitation and the interaction by Higgs bosons between F − particles and W − particles. The interaction by Higgs bosons can be ignored when temperature is low because the masses of the Higgs bosons are all very large. Consequently W − matter is regarded dark matter relative to F − matter , and vice versa. These are the necessary inferences of the quantum field theory without divergence $^{[3]}$. F − matter and W − matter correspond to ordinary matter and mirror matter in Ref [1 , $^{2]}$, respectively . There is the highest temperature T$_{max}$ at which · R = 0 , R ( t ) = R$_{min}$ ≡ √ K/ηV$_{0}$ and space inflation must occur. The state with T ≥ T$_{cr}$ is such a state with the highest symmetry. ρ$_{sF}$ = ρ$_{sW}$ = ρ$_{vF}$ = ρ$_{vW}$ and T$_{sF}$ = T$_{sW}$ = T$_{vF}$ = T$_{vW}$ = T in this state because F − matter and W − matter are symmetric and can transform from one into another, s − matter and v − matter are symmetric and can transform from one into another, and the thermal equilibrium can realized due to · R ∼ 0 when T ≥ T$_{cr}$. After space inflation, reheating process occurs. After reheating process, the potential energy density transforms into ρ $^{′}$v = xV$_{0}$ and ρ $^{′}$s = (1 − x ) V$_{0}$. ρ $^{′}$v > ρ $^{′}$s because 〈 ω$_{v}$ 〉 = 0 −→ 〈 ω$_{v}$ 〉$_{0}$ = 0 , 〈 ω$_{s}$ 〉 = 0 −→ 〈 ω$_{s}$ 〉$_{0}$ = 0 , V$_{v}$ = 0 −→ − V$_{0}$ and V$_{s}$ = 0 −→ 0 $^{[5]}$. Thus, after reheating process, the evolving equations become Here we still denote ρ $^{′}$v + ρ$_{v}$ and ρ $^{′}$s + ρ$_{s}$ by ρ$_{v}$ and ρ$_{s}$, respectively, for convenience. It is seen from (4) and (7) that in contrast with the conventional cosmological models, although ρ$_{vF}$ = ρ$_{vW}$ , the · R$^{2}$ ( t )+ K cannot doubled because of ρ$_{s}$ = ρ$_{sF}$ + ρ$_{sW}$ . Consequently the big bang nucleosynthesis cannot be spoiled by ρ$_{vF}$ = ρ$_{vW}$ provided ρ$_{s}$ is suitably chosen. · R$^{2}$ ( t ) = − K + ηV$_{0}$R $^{2}$( t ) , (5) ·· R ( t ) = − ηV$_{0}$R ( t ) < 0 . (6) · R$^{2}$ ( t ) + K = η [ ρ$_{vF}$ + ρ$_{vW}$ − ρ$_{sF}$ − ρ$_{sW}$ ] R $^{2}$( t ) = η [2 ρ$_{vF}$ − 2 ρ$_{sF}$ ] R $^{2}$( t ) , (7) ·· R ( t ) = − η [( ρ$_{vF}$ + 3 p$_{vF}$ ) − ( ρ$_{sF}$ + 3 p$_{sF}$ )] R ( t ) , (8) 4