Feigenbaum scaling, Cantorian space–time and the hierarchical structure of standard model parameters

Goldfain, Ervin

doi:10.1016/j.chaos.2006.01.117

Cited by 9 publications

(5 citation statements)

References 23 publications

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“…Here, the Cabibbo angle θ C plays the role of the mixing angle. According to experiment, sin (θ C ) ≈ 0.23, which is close to δ −1 (see also [8]).…”

Section: Numerical Surprisessupporting

confidence: 60%

“…7. The δ-relations between coupling constants (but not their explicit values) were previously observed by Goldfain [8].…”

Section: Numerical Surprisesmentioning

confidence: 58%

“…The ratios of their relative inputs are characterized by the weak mixing angle θ W . Experiments show that sin 2 (θ W ) ≈ 0.23 [10], a value close to δ −1 (see also [8]).…”

Section: Numerical Surprisesmentioning

confidence: 71%

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Are Particles Self-Organized Systems?

Manasson

2008

Preprint

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Elementary particles possess quantized values of charge and internal angular momentum or spin. These characteristics do not change when the particles interact with other particles or fields as long as they preserve their entities. Quantum theory does not explain this quantization. It is introduced into the theory a priori. An interacting particle is an open system and thus does not obey conservation laws. However, an open system may create dynamically stable states with unchanged dynamical variables via self-organization. In self-organized systems stability is achieved through the interplay of nonlinearity and dissipation. Can self-organization be responsible for particle formation? In this paper we develop and analyze a particle model based on qualitative dynamics and the Feigenbaum universality. This model demonstrates that elementary particles can be described as self-organized dynamical systems belonging to a wide class of systems characterized by a hierarchy of period-doubling bifurcations. This semi-qualitative heuristic model gives possible explanations for charge and action quantization, and the origination and interrelation between the strong, weak, and electromagnetic forces, as well as SU (2) symmetry. It also provides a basis for particle taxonomy endorsed by the Standard Model. The key result is the discovery that the Planck constant is intimately related to elementary charge.

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“…Here, the Cabibbo angle θ C plays the role of the mixing angle. According to experiment, sin (θ C ) ≈ 0.23, which is close to δ −1 (see also [8]).…”

Section: Numerical Surprisessupporting

confidence: 60%

“…7. The δ-relations between coupling constants (but not their explicit values) were previously observed by Goldfain [8].…”

Section: Numerical Surprisesmentioning

confidence: 58%

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Are Particles Self-Organized Systems?

Manasson

2008

Preprint

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“…This leads to the idea that the wave-particle duality can be associated by means of the quantum vacuum with a phase transition. Moreover, a Feigenbaum-Goldfain scenario on the genesis of the material structures from the vacuum states is possible [37,38].…”

Section: The Vacuum As a Superconducting Type Statementioning

confidence: 99%

On the vacuum status in Weyl–Dirac theory

2007

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A hydrodynamic model of the Weyl-Dirac theory in the non-relativistic approach is established. Any microparticle is permanently interacting with the 'subquantum level' through the quantum potential, which depends only on the imaginary part of a complex speed. The complex speed fields indicate a possible connection between the Weyl-Dirac theory and Scale Relativity Theory. In such conjecture, some properties of the vacuum states result: the vacuum states behave as a superconducting state, they act as an energy accumulator etc.

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“…This puzzle is referred to as the fermion ''flavor problem'' [11,19] and it continues to challenge to the day our understanding of particle physics. Motivated by the relevance of nonlinear dynamics in field theory [12][13][14][15][16][17]20,21], this work suggests that the number of fermion flavors may be directly derived from the dynamics of coupling flow equations. Specifically, we find that the number of flavors results from demanding stability of the coupling flow about its fixed-point solution.…”

Section: Introductionmentioning

confidence: 99%