Spin is the inherent attribute of the micro-object. Micro-object can be understood as a rotating matter ball which is limited in a certain spatial distribution that can not be appropriately abstracted as a particle in the mi- cro-environment. The rotation frequency is defined by Eh , radius of curvature is defined by R p . Mi- cro-object exists in the dual 4-dimensional complex space-time. The rotation and movement of the micro-object gener- ate matter waves. Information of space structure and matter field density distribution of the micro-object can be propa- gated by matter waves. The establishment of complex space-time curvature coordinate is a geometric matter of mi- cro-object itself (geometry of matter). Matter waves are real. Matter field density distribution and probability distribu- tion of micro-object can be mutual mapped, micro-object can not be appropriately abstracted as a particle and its rotat- ing and vibration are the physical source of micro-object probability event in quantum measurement.
Spin is the inherent attribute of the micro-object. Micro-object can be understood as a rotating matter ball which is limited in a certain spatial distribution that can not be appropriately abstracted as a particle in the mi- cro-environment. The rotation frequency is defined by Eh , radius of curvature is defined by R p . Mi- cro-object exists in the dual 4-dimensional complex space-time. The rotation and movement of the micro-object gener- ate matter waves. Information of space structure and matter field density distribution of the micro-object can be propa- gated by matter waves. The establishment of complex space-time curvature coordinate is a geometric matter of mi- cro-object itself (geometry of matter). Matter waves are real. Matter field density distribution and probability distribu- tion of micro-object can be mutual mapped, micro-object can not be appropriately abstracted as a particle and its rotat- ing and vibration are the physical source of micro-object probability event in quantum measurement.
Micro-object is both particle and wave, so the traditional Particle Model (mass point model) is actually not applicable for it. Here to describe its motion, we expand the definition of time and space and pick up the spatial degrees of freedom hidden by particle model. We say that micro-object is like a rolling field-matter-ball, which has four degrees of freedom including one surface curvature degree and three mapping degrees in the three-dimensional phenomenal space. All the degrees are described by four curvature coordinate components, namely “k1, k2, k3, k4”, which form the imaginary part of a complex phase space, respectively. While as to the real part, we use “x1, x2, x3, x4” to describe the micro object’s position in our real space. Consequently, we build a Dual 4-dimensional complex phase space whose imaginary part is 4-dimension k space and real part is 4-dimension x space to describe the micro-object’s motion. Furthermore, we say that wave function can describe the information of a field-matter-ball’s rotation & motion and also matter-wave can spread the information of micro-object’s spatial structure & density distribution. Matter-wave and probability-wave can transform to each other though matter-wave is a physical wave. The non-point property is the foundational source of the probability in Quantum Mechanics.
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.
Microscopic objects have some spatial distribution, which influences quantum phenomena. The particle model does not apply to the microworld. In this work, we use a rotating field matter sphere model. The size of the sphere change along with the movement state, harmonized with special relativity. Thus, we independently construct a dual 4-dimensional space-time to describe the microscopic quantum phenomenon and established the objective reality of plural description, which has obvious theoretical advantages. In the dual 4-dimensional space-time, the wave function describes matter waves as physical waves. Which is the physical basis of quantum communication. Quantum probability originates from the tangible structure and matter density distribution of the microscopic objects and is reflected in the transformation of space-time. Matter waves and probability waves can be transformed by using Fourier transformation. Keywords: field matter sphere; model; matter wave; quantum probability; origin; transformation
In dual-four-dimensional quantum mechanism, 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 are the static and dynamic mass of a micro matter sphere, respectively. The electron spin s and spin magnetic moment µs 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.
This book “Foundation of quantum mechanics in Dual 4-dimension space-time——The spacetime origin of quantum probability,” is a new exploration discussing the physical foundations of quantum mechanics. It contains two parts. One is the interactive realism, the other is the quantum mechanical description of the dual-4 dimensional spacetime. The first one is the philosophical basis of the second. The author thought that the conventional mass-point model is no long proper for the microscopic quantum world. The author used the movement of the rotating matter wave sphere in complex space to deduce the de Broglie matter-wave formula, and pulled the metaphysical hypothesis of the wave function back into the real physical realism. A matte wave is the physical wave, and it has potential applications. The matter wave transfers in the dual-4 dimensional complex space-time, and the complex number enters the cognition domain of space-time intrinsically. The author pointed out that, the state of a moving microscopic object is the combination of its eigen-states from quantum slicing, coherent hence; after quantum measurement, projected into the real 4-dimensional space-time and showing a probability distribution of point particles. Before and after the quantum measurement, the object is not in the same cognition level, nor the same physical space-time, and the Hilbert space is just their common math application space. The quantum measurement induces the transition of the microscopic object in space-time, manifestation, physical model, and theoretical structure, and the quantum probability comes from the space distribution of the field matter sphere, representing the transition from dual-4 complex to real 4-dimensional space-time, and the sphere to the point model. Physical phenomena, phenomenal entity, physical space-time, physical model, and theoretical structure all must consist intrinsically in logic. These are changing with the change of human cognition, embodying the unity of the human being and the nature. Dual-4 dimensional space-time quantum mechanics gives the wave function the physical realism. So, the concepts of the quantum entanglement, quantum communication and quantum teleportation all may be clarified and understood physically. The book is self-consistent with detailed justification, wherein the interactive realism concept is a new innovation.
双4维时空量子力学描述中，微观客体的自旋是场物质球自身的转动。在自身参考系，场物质球的半径由静态康普顿动量m0c定义：R0=ħ/m0c，转动频率为：E0= hν0；在运动参考系，场物质球的半径由动态康普顿动量mc定义：R1= ħ/mc，转动频率为：E1= hν1。m，m0是微观客体的动、静质量。电子自旋S及自旋磁矩μs都可以通过场物质球模型来计算。若自身参考系就在复数空间，在闵氏4维时空观察转动场物质球的运动，生成双4维复数时空，形成场物质的波动运动，它就是德布罗意物质波。 In dual-four-dimensional quantum mechanism, 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 are the static and dynamic mass of a micro matter sphere, respectively. The electron spin s and spin magnetic moment μs 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.