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

Chiarelli, Piero

doi:10.3390/technologies5040063

Technologies

2017

DOI: 10.3390/technologies5040063

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

Piero Chiarelli

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

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2023

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“…15) we can obtain the perturbative field Lagrangian for the gravity interaction by direct calculation since it cannot be covariantly obtained from 0  . Assuming at first order of approximation the flat ST Lagrangian equation of motion for the field…”

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confidence: 99%

Quantum Spacetime Geometrization in QED and Beyond: Towards the Standard Model

Chiarelli¹

2023

Preprint

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In this work the author utilizes the quantum geometrization of spacetime for describing the gravitational interaction within the framework of quantum theory. This approach allows for the development of an equation of gravity that is mathematically connected to the fermion and boson fields. This achievement is accomplished by incorporating two fundamental principles: covariance of the quantum field equations and the principle of least action. By considering these principles, a theory is established that enables the calculation of gravitational corrections to Quantum Electrodynamics, and potentially, to the standard model of particle physics as well. The theory also provides an explanation for two phenomena: the existence of a cosmological pressure density similar to quintessence, that is compatible with the small value of the observed cosmological constant, and the breaking of matter-antimatter symmetry at high energies offering insights into why there is an imbalance between the two in the early universe. In the cosmological modeling of the theory, there exists a proposal to account for the formation of supermassive black holes that are accompanied by their own surrounding galaxies, without relying on the process of mass accretion. The model, in accordance with recent observations conducted by the James Webb Space Telescope, supports the notion that galactic configurations were established relatively early in the history of the universe, shortly after the occurrence of the Big Bang.

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confidence: 99%

Quantum Spacetime Geometrization in QED and Beyond: Towards the Standard Model

Chiarelli¹

2023

Preprint

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

Cited by 1 publication

References 84 publications

Quantum Spacetime Geometrization in QED and Beyond: Towards the Standard Model

Quantum Spacetime Geometrization in QED and Beyond: Towards the Standard Model

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