On the Second Dipole Moment of Dirac’s Particle

Roza, Engel

doi:10.1007/s10701-020-00355-3

Cited by 25 publications

(70 citation statements)

References 15 publications

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“…in which  is the Pauli vector, and which, unlike the two other ones, is polarisable in a scalar potential field [7]. Originating from the Heisenberg uncertainty, this polarisable dipole moment is a pure quantum mechanical phenomenon.…”

Section: The Quantum Levelmentioning

confidence: 99%

“…This property fits well to the gravitational "dark" as just described. The results from [7] applied to a dark can be summarized as follows.…”

Section: The Quantum Levelmentioning

confidence: 99%

“…The electron has a real first dipole moment ( . In the case that the Dirac particle is of the third type as defined by (69b), we have [7],…”

Section: The Quantum Levelmentioning

confidence: 99%

“…It requires the development of a model for the elementary energetic constituent (dark) that will described in terms of a quite recently discovered elementary particle in Dirac's theory of the electron. Unlike the electron-type and Majorana's particle, this "third" Dirac particle has a dipole moment that is polarisable in a scalar gravitational field [7]. In the article, first of all the need will be revealed for accepting a fluidal energetic vacuum with the profile just described.…”

Section: Introductionmentioning

confidence: 99%

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On The Symmetry of The Universe

Roza¹

2020

Preprint

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It is shown that the Lambda component in the cosmological Lambda-CDM model can be conceived as vacuum energy, consisting of gravitational particles subject to Heisenberg’s energy-time uncertainty. These particles can be modelled as elementary polarisable Dirac-type dipoles (“darks”) in a fluidal space at thermodynamic equilibrium, with spins that are subject to the Bekenstein-Hawking entropy. Around the baryonic kernels, uniformly distributed in the universe, the spins are polarized, thereby invoking an increase of the effective gravitational strength of the kernels. It explains the dark matter effect to the extent that the numerical value of Milgrom’s acceleration constant can be assessed by theory. Non-polarized vacuum particles beyond the baryonic kernels compose the dark energy. The result is a quantum mechanical interpretation of gravity in terms of quantitatively established shares in baryonic matter, dark matter and dark energy, which correspond with the values of the Lambda-CDM model..

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Section: The Quantum Levelmentioning

confidence: 99%

“…This property fits well to the gravitational "dark" as just described. The results from [7] applied to a dark can be summarized as follows.…”

Section: The Quantum Levelmentioning

confidence: 99%

“…The electron has a real first dipole moment ( . In the case that the Dirac particle is of the third type as defined by (69b), we have [7],…”

Section: The Quantum Levelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On The Symmetry of The Universe

Roza¹

2020

Preprint

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“…It is recognized, though, that Dirac's theory contains some heuristic elements. Recently, the author of this article found a third type Dirac particle, next to the electron type and the Majorana type [16]. This third has the unique property that, unlike the electron type, it possesses a dipole moment that is polarisable in a scalar potential field.…”

Section: Introductionmentioning

confidence: 99%

On the Relationship Between the Cosmological Background Field and the Higgs Field

Roza¹

2020

Preprint

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It is shown that the relationship between gravity and quantum physics can be described in terms of the symmetry break of space due to elementary constituents, dubbed as “darks”, which constitute a universal energetic background field that extends from the cosmological level down to the nuclear level. It requires (a) the awareness of the polarisable second elementary dipole moment of a recently discovered third Dirac particle type, next to the electron-type and the Majorana-type, and (b) the awareness that Einstein’s Lambda is not a constant of nature, but, instead, a covariant integration constant with a value that depends on the scope of the cosmological system under consideration, such as solar systems and galaxies, eventually showing up as the Cosmological Constant at the level of the universe. The relationship has been made explicit by relating two major gravitational constants quantaties (the gravitational constant and Milgrom’s acceleration constant) with a single nuclear quantity (the rest mass of the pion derived from the Higgs boson value).

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On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

2023

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In this paper, we study the relativistic quantum dynamics of a neutral Dirac particle with a permanent magnetic dipole moment that interacts with an external magnetic field in the background space-time of a linear topological defect called spiral dislocation. The generalized Dirac wave equation is derived from the full action of that model involving the Lagrangian density of the Dirac spinor field in the background and the interaction model. The energy eigenvalues and corresponding wave functions are found in closed form by reducing the problem to that of a non-relativistic particle moving freely on a plane with a hole at the origin whose radius is determined by the defect parameter. In the limit of vanishing external magnetic field we are also able to establish a hidden SUSY structure of the underlying Dirac Hamiltonian allowing us to discuss the non-relativistic limit in some detail.

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On the Second Dipole Moment of Dirac’s Particle

Cited by 25 publications

References 15 publications

On The Symmetry of The Universe

On The Symmetry of The Universe

On the Relationship Between the Cosmological Background Field and the Higgs Field

On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

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