双4维时空中物质波的规范变换及量子力学与相对论内在联系新探

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

摘要: 物质波是物理波，不是概率波。自由微观客体从整体规范变换过渡到局域规范变换，通过协变导数引进规范场，尽管体现了场与微观客体的相互作用，但那是让微观客体恢复自由状态，实现规范不变性引进的抵消作用。定态波函数Ψ(x)可以分解成微观客体的各种自由运动状态——本征态(平面波)Ψ_n(x)的叠加。建在本征态上的坐标系是惯性系，由本征态之间的关系，将引导出惯性系之间的关系。由此，我们可以从惯性系到非惯性系的转变，为相对论与量子力学的统一找到一条可能的新的认识通道。

Abstract: The matter-wave is a physical wave rather than a probability wave. Free micro object transforms from the whole gauge to the local gauge, and then brings in specification field by covariant deriva-tive, reflects interaction between field and micro object, but it has counteract effect of realizing gauge invariance in order to restore the free state of the micro object. The steady state wave func-tion Ψ(x) can be decomposed into the superstition of all kinds states of free movement of the micro object, namely, the eigen state Ψ_n(x) (plane wave). The system building for eigen state is inertial system. By analyzing the relationship between each eigen state, we can get the new relation between each inertial system thus we may get the transformation from inertial system to noninertial system. This work would pave a new understanding way for unifying the Quantum Mechanism and the Theory of relativity.