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四维矢量
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  4-vector
    By defining four dimensional 'deformation event', the spring's equation about deformation and elasticity becomes perfect covariant 4-vector one.
    在严格定义四维"形变事件"后,弹簧的形变—弹力方程被表达成完全协变的四维矢量方程。
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  four-dimensional vector
A formulation of the four-dimensional vector laws of physics which emphasizes the transformation of position and time using the four-vectors (R', 0) and (0,ct') is presented.
      
It is shown that the geometrical origin of gauge transformations may be found if one considers the eight-dimensional spinor space rather than the four-dimensional vector space as the basis of a physical theory.
      
It is shown that the geometrical origin of gauge transformations may be found if one considers the eight-dimensional spinor space rather than the four-dimensional vector space as the basis of a physical theory.
      
Homogeneity for Surfaces in Four-Dimensional Vector Space Geometry
      
We construct a complete Riemannian metric on the four-dimensional vector space ?4 which carries a two-dimensional space of twistor spinor with common zero point.
      
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  4-vector
An expression for the current density 4-vector is obtained for the medium under consideration.
      
An expression for the current density 4-vector is obtained for the medium under consideration.
      
An expression for the current density 4-vector is obtained for the media considered.
      
It is shown that, near the mass surface of the real particle, these quantities constitute a 4-vector.
      
A common assumption in quantum field theory is that the energy-momentum 4-vector of any quantum state must be time-like.
      
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A kind operator of vector product in n≥4 dimensional Euclidian spaces is defined. On the basis of it, a class of four moment of force, four angular momentum in four dimensional Minkowskian space-the are introduced. Vector form theorem of angular momentum in four dimensional space-time is constructed. And the conclusion in which frequently defined three dimensional moment of force and angular momentum are the referenCe frame dependent four vector is deduce. Some formulae about vctor product in four dimensional...

A kind operator of vector product in n≥4 dimensional Euclidian spaces is defined. On the basis of it, a class of four moment of force, four angular momentum in four dimensional Minkowskian space-the are introduced. Vector form theorem of angular momentum in four dimensional space-time is constructed. And the conclusion in which frequently defined three dimensional moment of force and angular momentum are the referenCe frame dependent four vector is deduce. Some formulae about vctor product in four dimensional space-the are also derived.

在n≥4的欧氏空间中定义了矢量积运算,在此基础上,在四维Minkowiki时空中引入了一组四力矩、四角动量矢量的概念,构造了四维矢量型角动量定理.并得到了通常三维力矩和三维角动量是参考系依赖的四维矢量这个结论.还给出了四维时空中矢量积的一些计算公式.

This paper validates covarience about tensile-elasticity: Hooke's law about tensile-elasticity of perfect elastic body has formal invariability in Lorentz transformation, and the formula about elastic force of tensile-spring contradicts with Lorentz transformation about conventional force. By extending stiffness coefficient into stiffness matrix, the deformation and elastic force of tensile-spring coincides with Lorentz transformation. By defining four dimensional 'deformation event', the spring's equation about...

This paper validates covarience about tensile-elasticity: Hooke's law about tensile-elasticity of perfect elastic body has formal invariability in Lorentz transformation, and the formula about elastic force of tensile-spring contradicts with Lorentz transformation about conventional force. By extending stiffness coefficient into stiffness matrix, the deformation and elastic force of tensile-spring coincides with Lorentz transformation. By defining four dimensional 'deformation event', the spring's equation about deformation and elasticity becomes perfect covariant 4-vector one.

验证了拉伸弹力的协变性:完全弹性体的胡克拉伸定律具有罗伦兹变换的形式不变性,而柱面拉伸弹簧弹力公式却与常规力的罗伦兹变换相抵触。通过把劲度系数扩展为矩阵形式,拉伸弹簧的形变与弹力在罗伦兹变换中得到了统一。在严格定义四维"形变事件"后,弹簧的形变—弹力方程被表达成完全协变的四维矢量方程。

 
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