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January 24, 20260 citationsOpen Access

The Quantum Loom: Emergent Gravity and Dark Energy in a Discrete Topological Superfluid

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YÜYağmur Üstel

Key Points

  • The research aims to present a novel theory of quantum gravity that reframes spacetime as a superfluid derived from discrete structures.
  • Proposes a background-independent theory of quantum gravity
  • Integrates the ER = EPR conjecture with Loop Quantum Gravity
  • Models spacetime as an incompressible superfluid
  • Demonstrates a phase transition to a solid state at Planck density
  • Derives a modified uncertainty principle to avoid Lorentz violation
  • Resolves the singularity theorems of General Relativity
  • Identifies a Negative Absolute Temperature state as a thermodynamic origin for Dark Energy
  • Establishes a new framework for understanding the physical topology of space.

Abstract

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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Cite This Study

Yağmur Üstel (2026) studied this question.

synapsesocial.com/papers/6974606dbb9d90c67120a5b3https://doi.org/10.5281/zenodo.18341502
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