Towards a dS/MERA correspondence

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In summary, the authors propose a dS/MERA correspondence, similar to the AdS/MERA correspondence, where spacetime emerges from entanglement of quantum degrees of freedom on the boundary. They use MERA on conformal theories to recover a discrete version of the de Sitter Penrose diagram and suggest that time is an emergent direction. They also comment on the implications for cosmology and the possible interpretation of de Sitter cosmological horizon entropy involving entanglement with degrees of freedom across the horizon.
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http://arxiv.org/abs/1611.08581
Towards a dS/MERA correspondence
Raj Sinai Kunkolienkar, Kinjal Banerjee
(Submitted on 25 Nov 2016)
Recent advances have suggested that spacetime itself emerges from the entanglement of the quantum degrees of freedom living on the boundary. In the case of the AdS spacetimes, a particular class of tensor networks has been shown to realize the same via Multi-Scale Entanglement Renormalization Ansatz (MERA). In this paper we suggest a prescription for the dS/MERA correspondence and recover a discrete version of de Sitter Penrose diagram by using the MERA on conformal theories identified with the future/past conformal boundaries of the de Sitter spacetime. As anticipated, time appears as the emergent direction. We comment on the possible interpretation that the de Sitter cosmological horizon entropy involves entanglement with degrees of freedom across the cosmological horizon as well as the implications of our construction for cosmology.
 
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Hmm, very interesting - I thought dS/CFT was dead!

Now with some googling, I remember the Amninos, Hartman and Strominger dS/CFT for higher spin gravity. But I think they didn't then know how to realize it for Einstein gravity.
 

1. What is the dS/MERA correspondence?

The dS/MERA correspondence is a proposed relationship between two concepts in physics - de Sitter space (dS) and Multiscale Entanglement Renormalization Ansatz (MERA). It suggests that there is a deep connection between these two theories, which could potentially provide insights into the nature of quantum gravity.

2. Why is the dS/MERA correspondence important?

The dS/MERA correspondence is important because it could potentially help us understand some of the most fundamental questions in physics, such as the nature of spacetime and the origin of the universe. It also has the potential to bridge the gap between two seemingly unrelated theories - dS space and MERA - and provide a more holistic understanding of the universe.

3. How does the dS/MERA correspondence work?

The exact mechanism of the dS/MERA correspondence is still being studied and debated. However, it is generally believed that it involves mapping certain properties of dS space onto the structure of MERA networks. This mapping could potentially reveal new insights into the nature of both theories.

4. What evidence supports the dS/MERA correspondence?

Currently, there is no direct evidence that supports the dS/MERA correspondence. However, there have been several theoretical studies and calculations that suggest a possible connection between dS space and MERA. Additionally, the dS/MERA correspondence is consistent with other theories, such as the holographic principle and emergent spacetime, which adds to its plausibility.

5. What implications does the dS/MERA correspondence have for future research?

The dS/MERA correspondence is a relatively new concept, and its implications for future research are still being explored. However, if it is proven to be true, it could provide a new framework for studying quantum gravity and help us understand the nature of the universe at a fundamental level. It could also potentially lead to new discoveries and advancements in other fields of physics, such as quantum information theory and cosmology.

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