Non-hermitian phase transitions on a generalized Ellis-Bronnikov wormhole bridge

• URL: http://arxiv.org/abs/2504.17015v1
• Date: Wed, 23 Apr 2025 18:03:56 GMT
• Title: Non-hermitian phase transitions on a generalized Ellis-Bronnikov wormhole bridge
• Abstract summary: We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a wormhole surface.<n>The effects of the geometry are taken into account using the tetrad formalism and the spin connection.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we investigate the emergence of non-Hermitian phase transitions on a quantum wormhole surface. We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a quantum wormhole surface. The effects of the geometry are taken into account using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically, and the non-Hermitian phase transitions are investigated in terms of the geometric features of the wormhole and the magnitude of the imaginary component of the mass.

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