scholarly journals The Gauge Transformation of Matter Wave in the Dual 4-Dimensional Complex Space-Time and the New Internal Relation between Quantum Mechanics and the Theory of Relativity

2015 ◽  
Vol 05 (01) ◽  
pp. 1-14
Author(s):  
国求 赵
Keyword(s):  
Quantum Mechanics ◽  
Gauge Transformation ◽  
Complex Space ◽  
Space Time ◽  
Matter Wave ◽  
Theory Of Relativity ◽  
Internal Relation

The electron spin and spin magnetic moment in dual-4 d space-time Quantum mechanics

2016 ◽  
pp. 4101-4114
Author(s):  
Guoqiu Zhao
Keyword(s):  
Quantum Mechanics ◽  
Electron Spin ◽  
Magnetic Moment ◽  
Complex Space ◽  
Dimensional Space ◽  
Space Time ◽  
Frame Of Reference ◽  
Matter Wave ◽  
Spin Magnetic Moment ◽  
Time Quantum

In dual-four-dimensional space-time quantum mechanics, the spin of micro object is caused by the rotation of field matter sphere itself. In its own frame of reference, the radius is defined as the static Compton momentum R0=ħ/m0c，and frequency is ν0=E0/h. In the Dynamic frame of reference, the radius is defined as the dynamic Compton momentum R1=ħ/mc，and frequency is ν1=E1/h. m0 and m is the static and dynamic mass of a micro matter sphere, respectively. The electron spin s and spin magnetic moment both can be calculated by the field matter sphere model. If the frame of reference is in the complex space-time, and we observe the motion in a Minkowshi Space, then there will be a dual four dimensional complex space-time. The fluctuation motion of field matter is De Broglie matter wave.

scholarly journals Electromagnetic Field Equation and Lorentz Gauge in Rindler Space-time

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Gauge Transformation ◽  
Maxwell Equations ◽  
Space Time ◽  
Theory Of Relativity ◽  
Field Equations ◽  
Lorentz Gauge ◽  
Rindler Space ◽  
Differential Operation ◽  
Gauge Fixing

In this paper, we derived electromagnetic field transformations and electromagnetic field equations of Maxwell in Rindler space-time in the context of general theory of relativity. We then treat the Lorentz gauge transformation and the Lorentz gauge fixing condition in Rindler space-time and obtained the transformation of differential operation, the electromagnetic 4-vector potential and the field. In addition, charge density and the electric current density in Rindler spacetimeare derived. To view the invariance of the gauge transformation, gauge theory is applied to Maxwell equations in Rindler space-time. In Appendix A, we show that the electromagnetic wave function cannot exist in Rindler space-time. An important point we assert in this article is the uniqueness of the accelerated frame. It is because, in the accelerated frame, one can treat electromagnetic field equations.

Time in the Physical Picture of the World

2020 ◽  
Vol 57 (4) ◽  
pp. 128-132
Author(s):  
Andrey Yu. Sevalnikov ◽  
Keyword(s):  
Quantum Mechanics ◽  
Large Scale ◽  
Space Time ◽  
Time Structure ◽  
Theoretical Physics ◽  
Theory Of Relativity ◽  
Principle Of Superposition ◽  
Subjective Character ◽  
Space Time Structure ◽  
Modern Physics

The article is devoted to the problem of time in modern science, where in recent years there have been major changes related to the latest discoveries in the field of the foundations of quantum theory. The author refers to works of K.-F. von Weizsacker (which works are not well-known in Russian-speaking field). Weizsacker deploys a large-scale program of building modern physics, while starting (not only as a physicist, but also a professional philosopher) with questions of philosophical interpretation of postulates of modern physics, especially quantum mechanics. His key thesis is that time in physics is fundamentally distinct, which represents the whole physics as an integral scientific discipline. Weizsacker comes from physical and philosophical reflections, that give a special value to his work. Analyzing the conclusions of theoretical physics, namely the issues of substantiation of statistical mechanics, thermodynamics, and, above all, quantum mechanics, Weizsacker comes to the key idea of the structure of time in the substantiation of physical theory. The author in this conclusion disagrees with the opinion of most modern physicists that time has a subjective character, and the modus of the past, present and future reflects its essential character. The allocation of the time structure requires special logic. Such a logic is temporal and quantum. Starting from temporal logic, introducing the concept of possibility and probability, he comes to the substantiation of quantum mechanics. Being modal logic, it is based on the concept of possibility and probability. Key concept for Weizsacker is a binary alternative (Uralternative), closely related to the principle of superposition in quantum mechanics. By introducing the concept of certain alternatives, essentially actualized alternatives, Weizsacker shows how one can get the theory of relativity with its space-time structure. Further, he shows that based on its structure, you can get the theory of relativity. The space-time structure in this case is secondary, relational, as understood by Leibniz, Mach, and Einstein.

The Event Universe

2015 ◽  
Author(s):  
Leemon B. McHenry
Keyword(s):  
Electromagnetic Field ◽  
Quantum Mechanics ◽  
Common Sense ◽  
Physical Theory ◽  
Alfred North Whitehead ◽  
Bertrand Russell ◽  
Theory Of Relativity ◽  
The World ◽  
Modern Physics ◽  
Linguistic Methods

What kinds of things are events? Battles, explosions, accidents, crashes, rock concerts would be typical examples of events and these would be reinforced in the way we speak about the world. Events or actions function linguistically as verbs and adverbs. Philosophers following Aristotle have claimed that events are dependent on substances such as physical objects and persons. But with the advances of modern physics, some philosophers and physicists have argued that events are the basic entities of reality and what we perceive as physical bodies are just very long events spread out in space-time. In other words, everything turns out to be events. This view, no doubt, radically revises our ordinary common sense view of reality, but as our event theorists argue common sense is out of touch with advancing science. In The Event Universe: The Revisionary Metaphysics of Alfred North Whitehead, Leemon McHenry argues that Whitehead's metaphysics provides a more adequate basis for achieving a unification of physical theory than a traditional substance metaphysics. He investigates the influence of Maxwell's electromagnetic field, Einstein's theory of relativity and quantum mechanics on the development of the ontology of events and compares Whitehead’s theory to his contemporaries, C. D. Broad and Bertrand Russell, as well as another key proponent of this theory, W. V. Quine. In this manner, McHenry defends the naturalized and speculative approach to metaphysics as opposed to analytical and linguistic methods that arose in the 20th century.

Dualism QM and GR

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Noncommutative Geometry ◽  
Quantum Tunneling ◽  
Closed Surface ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Surface Integral ◽  
Definition Of

Quantum tunneling of noncommutative geometry gives the definition of time in the form of holography, that is, in the form of a closed surface integral. Ultimately, the holography of time shows the dualism between quantum mechanics and the general theory of relativity.

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