Quantum Gravity and String Theory

    

Emergent Gravity from Fundamental Triangles with Inner Torsion-Twist Degrees of Freedom — an Analogon to Structure of Penrose-Triangles

Authors: Holger Döring

Investigated is a model of spacetime in which fundamental triangles possess not only geometric properties such as area and edge lengths but also internal degrees of freedom representing twist, which encodes their relative orientation with respect to neighboring triangles. While local triangles are flat and consistent, global misclosures can accumulate, acting analogously to holonomies in curved spacetimes. This approach enables the construction of a spin-network-like model in which gravity can be interpreted as a statistical emergent phenomenon arising from these accumulated twists. The concept is inspired by Penrose-triangles: local consistency combined with global twist. Therefore this description is called the Penrose-triangle-ansatz (PTA).

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[v1] 2026-06-15 10:05:00

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