Saeidi Gravitational Wavelength (SGW) A Dimensional Bridge Between Quantum and Gravitational Length Scales

This work introduces the concept of the Saeidi Gravitational Wavelength (SGW), defined as a characteristic acceleration-dependent gravitational length scale. The paper proposes a unified dimensional framework connecting quantum matter and gravitational acceleration through the interaction between the Compton wavelength of matter and the proposed SGW scale. By combining these two characteristic wavelengths, the gravitational force is reformulated in a compact wavelength-based form that directly reproduces the classical relation F = mg when the wavelength definitions are substituted. The work interprets gravity as a bridge quantity between the intrinsic quantum wavelength structure of matter and the acceleration-defined structure of spacetime. It also introduces associated gravitational frequency and momentum interpretations, numerical verification for electron and proton scales, and a dimensional connection to the Planck-force regime. This paper does not attempt to replace general relativity or quantum mechanics. Instead, it provides a compact wavelength-centered reinterpretation intended to clarify possible structural links between classical gravity, quantum length scales, and Planck-scale physics.