A Holographic Error-Correcting Code in de Sitter Space: Relation to AdS/CFT

Abstract

A graduate-level bridge between the substrate and AdS/CFT holographic error correction. A three-part verdict: they share a deep principle (bulk-in-boundary error correction) and a deep law (entanglement entropy = geometric area), but differ in two checkable ways — the substrate's code is not a HaPPY perfect tensor, and its spacetime is flat with a de Sitter cosmology, not anti-de Sitter. The natural bridge is therefore de Sitter / cosmological-horizon holography, where the substrate offers a concrete microscopic holographic code with explicit boundary dynamics; the Ryu–Takayanagi area law is verified directly on the lattice.

Keywords

How to cite

Elliman, D. (2026). A Holographic Error-Correcting Code in de Sitter Space: Relation to AdS/CFT. Neuro-Symbolic Ltd technical report. https://doi.org/10.5281/zenodo.20876446

@techreport{elliman2026holographicbridge,
  author      = {Elliman, David},
  title       = {A Holographic Error-Correcting Code in de Sitter Space: Relation to AdS/CFT},
  institution = {Neuro-Symbolic Ltd},
  year        = {2026},
  doi         = {10.5281/zenodo.20876446},
  url         = {https://neusym.ai/papers/holographic_bridge}
}