The Dirac-Kerr-Newman electron

Burinskii, Alexander

doi:10.1134/s0202289308020011

Cited by 100 publications

(215 citation statements)

References 36 publications

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“…As memory increases, the solution curves touch down on the Ω = 0 axis (Figure 5c), indicating the existence of orbital solutions even in the absence of rotation. The wave force generated by the walker is then sufficient to balance the radial inertial force and so sustain its circular motion, a physical picture reminiscent of classical models of the electron (Schrodinger 1930, Burinskii 2008). When rotation is applied, as in the two-walker orbits of Eddi et al (2012), a hydrodynamic analogue of Zeeman splitting occurs.…”

Section: Orbital Dynamicsmentioning

confidence: 99%

Pilot-Wave Hydrodynamics

Bush

2015

Annu. Rev. Fluid Mech.

279

343

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Yves Couder, Emmanuel Fort and coworkers have recently discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own wave field. We review experimental evidence indicating that the walking droplets exhibit certain features previously thought to be exclusive to the microscopic, quantum realm. We then review theoretical descriptions of this hydrodynamic pilot-wave system that yield insight into the origins of its quantum-like behavior. Quantization arises from the dynamic constraint imposed on the droplet by its pilot-wave field, while multimodal statistics appear to be a feature of chaotic pilot-wave dynamics. We attempt to assess the potential and limitations of this hydrodynamic system as a quantum analog. This fluid system is compared to quantum pilot-wave theories, shown to be markedly different from Bohmian mechanics, more closely related to de Broglie's original conception of quantum dynamics, his double-solution theory, and its relatively recent extensions through workers in stochastic electrodynamics.

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Section: Orbital Dynamicsmentioning

confidence: 99%

Pilot-Wave Hydrodynamics

Bush

2015

Annu. Rev. Fluid Mech.

279

343

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“…Therefore, starting from an electron of negative charge and positive mass as measured in the first R 4 space, we find in the second space a "positron" of positive charge and negative mass. The relation of the Kerr-Newman geometry to Dirac's equation and therefore to antimatter has been noted by some authors (Arcos & Pereira 2004;Burinskii 2008).…”

Section: Introductionmentioning

confidence: 99%

Introducing the Dirac-Milne universe

Benoit-Lévy

Chardin

2012

A&A

104

105

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The ΛCDM standard model, although an excellent parametrization of the present cosmological data, contains two as yet unobserved components, dark matter and dark energy, that constitute more than 95% of the Universe. Faced with this unsatisfactory situation, we study an unconventional cosmology, the Dirac-Milne universe, a matter-antimatter symmetric cosmology, in which antimatter is supposed to present a negative active gravitational mass. The main feature of this cosmology is the linear evolution of the scale factor with time, which directly solves the age and horizon problems of a matter-dominated universe. We study the concordance of this model to the cosmological test of type Ia supernovae distance measurements and calculate the theoretical primordial abundances of light elements for this cosmology. We also show that the acoustic scale of the cosmic microwave background naturally emerges at the degree scale despite an open geometry.

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“…is the so called complex radial distance which is related to a complex representation of the Kerr geometry [17,18,21,23]. For a standard oriented Kerr solution in the rest,r = x 2 + y 2 + (z − ia) 2 = r + ia cos θ, which corresponds to the distance from a complex point source positioned at the complex point x = (0, 0, ia).…”

Section: The Kerr Theorem and One-particle Kerr-schild Solutionsmentioning

confidence: 99%

The Kerr Theorem and Multi-Particle Kerr–schild Solutions

Burinskii

2007

Int. J. Geom. Methods Mod. Phys.

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We discuss and prove an extended version of the Kerr theorem which allows one to construct the exact solutions of the Einstein-Maxwell field equations from a holomorphic generating function F of twistor variables. The exact multiparticle Kerr-Schild solutions are obtained from generating function of the form F = k iFi, where Fi are partial generating functions for the spinning particles i = 1...k. Solutions have an unusual multi-sheeted structure. Twistorial structures of the i-th and j-th particles do not feel each other, forming a type of its internal space. Gravitational and electromagnetic interaction of the particles occurs via the light-like singular twistor lines. As a result, each particle turns out to be 'dressed' by singular pp-strings connecting it to other particles. We argue that this solution may have a relation to quantum theory and hints a geometrical (twistorial) way to quantum gravity.

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The Dirac-Kerr-Newman electron

Cited by 100 publications

References 36 publications

Pilot-Wave Hydrodynamics

Pilot-Wave Hydrodynamics

Introducing the Dirac-Milne universe

The Kerr Theorem and Multi-Particle Kerr–schild Solutions

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