Matter Waves as Ripples of Spacetime Inhomogeneity

Abstract

摘要:德布罗意的物质波假说宣告波粒二象性为所有物质的普遍属性,但物质波的物理本质,它的波幅代表什么,它为何是复数形式,测量为何导致坍缩,在正统量子力学中始终缺乏一个直观的本体论解释。本文基于“存在的本质是不均匀”这一核心命题,提出一种替代诠释:物质波不是粒子的附属属性,而是时空不均匀性的局域涟漪。波函数是涟漪的完整数学描述,其振幅对应不均匀性的强度,其相位对应时间不均匀性的周期性展开,其波长由德布罗意关系与粒子动量关联。本文将德布罗意关系重新表述为时间不均匀性向空间延展的转换方程:能量 E = h/∇t(其中 ∇t 为时间不均匀性),物质波频率即时间不均匀性的倒数 ν = 1/∇t。在此基础上,薛定谔方程被重新解读为涟漪的动力学平衡方程,一边是涟漪的时间脉动能量,另一边是涟漪的空间曲率能量与外部不均匀性场的约束能量之和。波粒二象性、不确定性原理与测量坍缩等量子力学的基本困境,在此框架中均获得自然的几何-物理解释,不再需要观测者的特殊地位或多世界假设。这一诠释保留了量子力学的全部数学形式和实验预言,只改变了物理实在的指认,正如哥白尼改变了坐标原点而不改变天文学数据。 Abstract:De Broglie's matter wave hypothesis proclaimed wave-particle duality as a universal property of all matter. Yet the physical essence of matter waves,what their amplitude represents, why they are inherently complex-valued, and why measurement induces collapse has remained without a clear ontological interpretation in orthodox quantum mechanics. Building on the core proposition that "the essence of existence is inhomogeneity," this paper proposes an alternative interpretation: matter waves are not properties attached to particles, but localized ripples of spacetime inhomogeneity. The wave function is the complete mathematical description of such a ripple: its amplitude corresponds to the intensity of inhomogeneity, its phase to the periodic unfolding of temporal inhomogeneity, and its wavelength,via the de Broglie relation—to the particle's momentum. The de Broglie relation is reformulated as a conversion equation from temporal inhomogeneity to spatial extension: E=h/∇t(where ∇t denotes temporal inhomogeneity), and the matter-wave frequency is the reciprocal of temporal inhomogeneity, ν=1/∇t. The Schrödinger equation is reinterpreted as the dynamical equilibrium equation of the ripple: on one side stands the temporal pulsation energy of the ripple, and on the other the sum of the ripple's spatial curvature energy and the constraining energy of the external inhomogeneity field. Wave-particle duality, the uncertainty principle, and measurement collapse,the foundational dilemmas of quantum mechanics,all acquire natural geometric-physical explanations within this framework, requiring neither a privileged role for the observer nor a many-worlds hypothesis. This interpretation preserves all mathematical forms and experimental predictions of quantum mechanics; it merely changes the identification of physical reality, just as Copernicus changed the coordinate origin without altering astronomical data.