Some properties of the spinor soliton

Gu, Ying-Qiu

doi:10.1007/bf03041923

Cited by 9 publications

(1 citation statement)

References 15 publications

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“…To explain the electromagnetic "viscosity" in vacuum, we must make clear the annihilation and creation of particle and anti-particle at first [19,20]. We know that positrons and electrons are all described by spinors, which all satisfy the normalization condition.…”

Section: Dirac Equation In Spherical Coordinate Systemmentioning

confidence: 99%

The Quaternion Structure of Space-Time and Arrow of Time

Gu¹

2012

JMP

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In fundamental theories of physics, the dynamical equations all have time inversion invariance. Except for the evolution of some simple system which has realistic inverse processes, but for a slightly more complicated system, the evolution processes are irreversible. This is the problem of arrow of time, which is always warmly debated. In different point of view, we find there may have some conceptual misunderstanding in the controversy: 1) The realization of an inverse process does not mean the time of the system goes backward. 2) The principles of relativity and covariance are the constraints to physical laws, but not constraints to specific solutions. The equations must be covariant, but the solutions are not definitely symmetric. 3) Time is a global property of the universe, which is a measurement of the evolution process of the universe. The internal time of a matter system reflecting its internal evolution speed also takes this cosmic time as a unified background and standard of measurement. 4) The universe has a unified cosmic time <i>T</i> and a cosmic space related to this cosmic time. They are objective and absolute. 5) The eigensolution of a spinor is a critical state losing time concept, which responses the interaction of environment with some uncertainty, then the evolution process of the world is not uniquely determined. 6) The non-uniqueness of the evolution process means that the inverse process is absent. So for a world including spinors, the evolution is essentially irreversible. In this paper, according to the widely accepted principles and direct calculations of transformation, we reveal the misunderstandings in the usual controversy, and then give more natural and reasonable explanations for structure of space-time and arrow of time

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Section: Dirac Equation In Spherical Coordinate Systemmentioning

confidence: 99%

The Quaternion Structure of Space-Time and Arrow of Time

Gu¹

2012

JMP

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The electromagnetic potential among nonrelativistic electrons

1999

AACA

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Abstract. In this papel we derive the second order nonrelativistic approximation of the spinor equations with electromagnetic interaction. This approximation gives the total Breit and Coulomb potential among the electrons. The derivation also shows that the nonlinear coupled spinor equation can give a more natural description for fundamental particles, and quantum theories seem to be computing methods for solving the dynamical equations of Hamiltonian system.

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Spinor soliton with electromagnetic field

1998

AACA

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Abstract. In this paper, the spinor soliton coupling with its own electromagnetic field is compute'd by the first order approximation of the energy functional. The numerical calculation disclosed that (1) the soliton do exists, and only a few of meaningful solutions exist, (2) this nonlinear model for an electron implies the abnormal magneton, (3) the structural parameters of the soliton such as the rest mass m, the mean radius T, the weakly coupling constant w, are determined by empirical data. Besides, the method used in the paper is verified to be an efficient tool for solving the nonlinear spinor equation. The results are compared with those of the dark soliton.

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Some properties of the spinor soliton

Cited by 9 publications

References 15 publications

The Quaternion Structure of Space-Time and Arrow of Time

The Quaternion Structure of Space-Time and Arrow of Time

The electromagnetic potential among nonrelativistic electrons

Spinor soliton with electromagnetic field

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