A new study proposes a non-unitary tensor network framework to describe the emergence of de Sitter spacetime from boundary quantum data. This advance addresses one of the key challenges in quantum gravity: extending the holographic principle to de Sitter (dS) spacetimes. Researchers formulated a non-unitary continuous multi-scale entanglement renormalization ansatz (cMERA) for a concrete non-Hermitian critical fermion chain, demonstrating how de Sitter space can emerge from boundary entanglement.

Within this emergent spacetime, the study analyzed associated geodesics, showing they act as extremal Ryu-Takayanagi (RT) surfaces undergoing a smooth timelike-to-null transition. This continuum trajectory dictates a distinct tensor network architecture where the bond-counting contribution naturally truncates at the discrete timelike-to-null transition towards the deep infrared. In this architecture, the null ray along the horizon is represented by zero-cost links, as the associated cut severs no tensor legs.

This network structure successfully reproduces the logarithmic scaling of non-unitary critical entanglement entropy, offering a bond-counting picture for the de Sitter RT formula. These results provide a long-sought dS/(c)MERA correspondence at the level of both emergent spacetime and discrete holographic entanglement, offering new avenues for understanding quantum gravity in de Sitter backgrounds.