A background-independent theory integrates quantum entanglement to explain gravity and dark energy, suggesting new physics.
We propose a background-independent theory of quantum gravity in which spacetime is modeled not as a continuous manifold, but as an emergent, incompressible superfluid arising from a network of discrete Planck-scale nodes. Integrating the ER = EPR conjecture with Loop Quantum Gravity, we posit that quantum entanglement constitutes the physical topology of space, where gravity emerges as the elastic tension of the network and electromagnetism as hydraulic flux. We demonstrate that this Discrete Topological Superfluid model resolves the singularity theorems of General Relativity via a phase transition to a solid state at the Planck density. We identify this state as a Negative Absolute Temperature system, providing a thermodynamic origin for Dark Energy. Furthermore, we derive a modified uncertainty principle that shields the discrete lattice from Lorentz violation constraints at low energies.
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Yağmur Üstel (2026) studied this question.
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