Motion Matters: Unifying Principles of Material Media Dynamics

This book chapter explores the fundamental principles of motion within the context of material media dynamics. It introduces a novel postulate and a unified framework, yielding a fundamental equation of motion applicable to diverse material media. This framework establishes intuitive connections between essential quantities like phase, action, potential, force, and flux. Building upon this foundation, the chapter extends these principles into a 4- or more-dimensional space-time continuum, relating force, potential, and position in any reference frame. It further simplifies these concepts to derive general equations for specific forms of matter motion, including analogues of classical equations and conservation laws. By transitioning to classical equations in a fixed reference frame, the chapter demonstrates the cohesiveness between new and established formulations, bridging the gap between old and new paradigms. It concludes by highlighting the generality of the original primary postulate, suggesting its potential as a cornerstone for a unified field theory. While the variable wavelength case is not comprehensively covered, the chapter acknowledges ongoing research and outlines future investigations in this domain, suggesting further insights into the proposed approach. In summary, the chapter offers a pioneering exploration of matter motion principles, presenting a unified framework that may reshape our understanding of matter dynamics.

Arthur Schopenhauer, 'The World As Will And Idea' (1909), succinctly encapsulates the essence of existence: time signifies the flow of succession, space embodies positional relationships, and matter finds its essence in the realm of causation.

Expanding upon this foundation, we can further assert that time is a sequence of events, while space is a set of static things. And phase is a collection of both, thereby presenting a comprehensive abstraction that encompasses both time and space.

Rephrasing the idea in alignment with Fred Alan Wolf's concept: "The quantum can be likened to that small strand of thread invariably dangling from the fabric of space-time. When tugged, it initiates the unravelling of the entire ensemble.", if we apply this perspective to the realm of phase, the quantum becomes that analogous thread suspended from the weave of phase, where a mere pull sets forth the unravelling of the entirety.