Spacetime as the optimal generative network of quantum states: a roadmap to QM=GR?
arXiv:1804.07908
Abstract
The idea that spacetime geometry is built from quantum entanglement has been widely accepted in the last years. But how exactly the geometry is related with quantum states is still unclear. In this note, based on the idea of deep learning, we propose a mechanism for Susskind's QM=GR hypothesis, spacetime geometry as the optimal generative network of quantum states. We speculate that the space geometry stems as a geodesic tensor network which defines the quantum state complexity of a fundamental quantum state under a given metric. Spacetime corresponds to an evolving tensor network that generates an evolutional fundamental quantum system. This mechanism provides (a) a constructive correspondence between quantum states and spacetime geometry; (b)a spacetime structure emerging from a highly constrained geodesic so that the QEC-like structure shown in AdS/CFT can be naturally realized and (c) a mechanism to derive the gravity equation from the concept of quantum state complexity. With this mechanism, spacetime can have a quantum mechanical description. We hope this may lead to another view direction to understand the basic rules of our world.
arXiv comment12 pages, 3 figures, a draft version
References in corpus (16)
- Progressive Growing of GANs for Improved Quality, Stability, and Variation
- Complexity Equals Action
- Deep Image Prior
- Towards Complexity for Quantum Field Theory States
- Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
- Einstein's Equations from Varying Complexity
- Exact holographic mapping and emergent space-time geometry
- Bidirectional holographic codes and sub-AdS locality
- Machine Learning Spatial Geometry from Entanglement Features
- The momentum map representation of images
- A theory of quantum gravity based on quantum computation
- Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space
- How deep learning works --The geometry of deep learning
- Emergent General Relativity from Fisher Information Metric
- Geodesic Distance in Fisher Information Space and Holographic Entropy Formula
- Quantum state complexity and the thermodynamic arrow of time