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The paper explores how graph geometry impacts the emergence of the water dipole moment through topological asymmetry.

May 20, 2026Open Access

Topological Asymmetry and the Emergence of the Water Dipole Moment via Graph Geometry in QGEFT

Key Points

The paper explores how graph geometry impacts the emergence of the water dipole moment through topological asymmetry.
Employs a minimal triatomic QGEFT surrogate model to analyze water's bent geometry and dipole moment.
Calculates total topological stress to determine geometrical properties and stability of water's structure.
Achieves a global minimum topological stress at `104.5°` with an energy total of `E_total ≈ 6.2514`.
Demonstrates that a linear `180°` geometry is energetically unfavorable with an energy total of `E_total = 6.9540`.
Confirms that polarity is a direct consequence of graph geometry as indicated by a nonzero dipole proxy at the energy minimum.

Abstract

The current Paper 35 benchmark does not claim that full continuum water chemistry or ab initio charge densities have already been derived on a graph. It does show that a minimal triatomic QGEFT surrogate generates the defining bent geometry of water in one deterministic angular sweep: the total topological stress reaches a clean global minimum at `104. 5°` with `Eₜotal ≈ 6. 2514`, while the linear `180°` branch is strongly disfavored with `Eₜotal = 6. 9540`. The corresponding dipole proxy remains nonzero at the minimum, supporting polarity as a direct emergent consequence of graph geometry.

Topological Asymmetry and the Emergence of the Water Dipole Moment via Graph Geometry in QGEFT

Key Points

Abstract

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