Abstract
We explore the cosmological implications of quantum entanglement between two causally disconnected universes in the multiverse. We first consider two causally separated de Sitter spaces with a state which is initially entangled. We derive the reduced density matrix of our universe and compute the spectrum of vacuum fluctuations. We then consider the same system with an initially non-entangled state. We find that due to quantum interference scale dependent modulations may enter the spectrum for the case of initially non-entangled state. This gives rise to the possibility that the existence of causally disconnected universes may be experimentally tested by analyzing correlators in detail.
Highlights
Ments instantaneously beyond the light cone [7]
The quantum mechanical system consisting of our universe and the rest of unobservable universes becomes a mixed state, if the quantum state is entangled initially
We studied the cosmological implications of quantum entanglement between two causally disconnected de Sitter spaces (BD1 and BD2) in the multiverse
Summary
A quantum mechanical system consists of subsystems BD1 and BD2. The Hilbert space is a direct product H = HBD1 ⊗ HBD2. We suppose that our universe is, say, BD2 and we have no access to BD1
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