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Dark energy and virtual particles

If space time is accelerating away from itself everywhere due to dark energy, could this acceleration be the cause of virtual particles, essentially Unruh radiation?
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Why does the $\Lambda\mathrm{CDM}$ model end up a cold de Sitter space?

If space-time is expanding at $a(t)=e^{Ht}$, you plug acceleration into the Hawking-Unruh temperature equation, solve for time, and get the cosmic horizon at the Planck temperature within about $4.4 \...