论文标题
数学物理方程的隐藏独特可能性（偏斜形式的形式主义）
Hidden unique possibilities of mathematical physics equations (Formalism of skew-symmetric forms)
论文作者
论文摘要
结果表明，数学物理微分方程具有允许描述结构出现，离散过渡，量子跳跃等过程的属性。特殊性是隐藏了这种属性。它们不是直接从数学物理方程式遵循的，而是在解决过程中离散地实现。这是由于数学物理方程的整合性，如图所示，只能在任何自由度的存在下才能离散地实现。在这种情况下，从原始坐标空间进行过渡，该坐标空间没有一个函数（解决方案衍生物不构成差分），以使用离散函数的解决方案进行集成结构。它是双重解决方案和空间过渡，可以描述任何结构或现象的出现过程。由于隐藏的特性，数学物理方程在描述其他数学形式主义框架中无法描述的物理过程和现象中具有独特的可能性。使用偏斜的差分形式获得了此类结果。
It is shown that mathematical physics differential equations have properties that allow describing processes such as the structures emergence, discrete transitions, quantum jumps. The peculiarity is that such properties are hidden. They do not follow directly from the mathematical physics equations but are realized discretely in the solving process. This is due to the mathematical physics equations integrability, which, as shown, can be realized only discretely in the presence of any degrees of freedom. In this case, a transition occurs from the original coordinate space with a solution that is not a function (the solution derivatives do not compose a differential) to integrable structures with a solution that is a discrete function. It is the double solutions and spatial transitions that can describe the processes of the emergence of any structures or phenomena. Due to hidden properties, the mathematical physics equations have unique possibilities in describing physical processes and phenomena that cannot be described in the framework of other mathematical formalisms. Such results were obtained using skew-symmetric differential forms.
