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Minimal Area Gap for the Trefoil with \(L_k = 6\): Invariance under Phase Reversal

Year: 2026

Type: article

Abstract: For the trefoil knot \(3_1\) constrained by linking number \(L_k = 6\) and phase \(\theta = 6\pi/5\), the kinematic minimal area eigenvalue of loop quantum gravity is exactly \(A_{\rm min} = 4\pi\gamma\sqrt{3}\,\ell_P^2\). This value is independent of the sign of \(\theta\). The result follows directly from the standard area operator and does not require anyonic statistics.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24107552

Author: Soliman, Simon

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225751793

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