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Please note that the model of the universe corresponding to ΩR=ΩNR=Ωk=0, ΩΛ=1 has no matter and no radiation and no curvature. This is an empty Euclidean universe, and H0 is an arbitrary constant. Since da/dt = 0, Ho = 0. The integral of da/a is ln a, which is infinity. Since H0 has units 1/t, this means T = infinity.

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