The Non-Euclidean Hydrodynamic Klein-Gordon Equation with Perturbative Self-Interacting Field

2017/07/27 by Piero Chiarelli, Chiarelli, Piero
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Quantum Electrodynamics and Casimir Effect #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1708.08317

11 pages

openalex publication_date 2017/07/27 · arxiv created 2018/01/25 · arxiv updated 2018/01/26 · openalex created_date 2022/09/29 · openalex updated_date 2026/07/28

Abstract

In this paper the quantum hydrodynamic approach for the KGE owning a perturbative self-interaction term is developed. The generalized model to non-Euclidean space-time allows to determine the quantum energy impulse tensor density of mesons for the gravitational equation of quantum mechanical systems.

Citations

• Particle creation by black holes
• Quantum Theory of Gravitation vs. Classical Theory
• Hawking Radiation as Tunneling
• The Quantum Black Hole as a Hydrogen Atom: Microstates Without Strings Attached
• The Case for a Positive Cosmological Lambda-term

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