PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
April 10, 20260 citationsOpen Access

Emergent Quantum Entanglement in Two-Dimensional Quantum Gravity Models

Spacetime and Gravity as Emergent Quantum Entanglement - A Proof of Concept: Paper I — The Binary Tree Network, Exact Entropy Formula and AdS₂ Metric Convergence

View Full Paper
Ask AI
Bookmark
Share

Authors

ARAlvaro Lozano Rodriguez

Discussion

Loading...

Member takes

Overview

This proof of concept presents a holographic model demonstrating entanglement and geometrical dynamics in quantum gravity, implying fundamental unifications in theory.

Key Points

  • This research aims to establish a holographic model for understanding two-dimensional quantum gravity through entanglement and geometry.
  • Developed a binary tree tensor network with specific boundary sites and bond dimensions.
  • Derived a closed-form formula for entanglement entropy of boundary intervals.
  • Embedded the tensor network into hyperbolic geometry for analysis.
  • Calculated the exact modular Hamiltonian and bulk stress-energy tensor from boundary parameters.
  • Established an exact formula for the entanglement entropy, affirming the Ryu–Takayanagi theorem as a network theorem.
  • Proved the hyperbolic plane embedding of the binary tree with constant edge lengths.
  • Derived formulas for Newton's constant and AdS2 radius, confirming relationships without free parameters.

Cite This Study

Alvaro Lozano Rodriguez (2026) studied this question.

synapsesocial.com/papers/69d8967d6c1944d70ce07eafhttps://doi.org/10.5281/zenodo.19465532
View Full Paper
Ask AI
Bookmark
Share