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A Framework for Coupled Spatial and Wavelength Dynamics in Temporal Systems

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  Multidimensional Framework for Coupling Spatial and Wavelength Parameters in Temporal Dynamics This paper introduces a novel framework for integrating spatial and wavelength parameters into the dynamics of proper time. The framework extends traditional proper time formulations to encompass the influence of spatial coordinates and wavelength on temporal dynamics. By incorporating these additional parameters, the framework provides a more comprehensive understanding of relativistic effects in spacetime. This paper outlines the fundamentals of the proposed framework, presents the mathematical formalism, and discusses its potential applications in various fields, including astrophysics, quantum mechanics, and cosmology. Proper time, a fundamental concept in the theory of relativity, represents the time experienced by an observer moving about a worldline. Traditionally, proper time is defined solely in terms of the observer's motion through spacetime, with no consideration for spat