Saeidi Gravitational Redshift A Gravitational-Wavelength Interpretation of Light Frequency Shift

Saeidi Gravitational Redshift: A Gravitational-Wavelength Interpretation of Light Frequency Shift presents a dimensional and wave-scale reinterpretation of gravitational redshift. The paper introduces the Saeidi gravitational wavelength, defined as λg = c²/g, where g is the surface gravitational acceleration of a gravitating body. Using the standard weak-field gravitational redshift relation z ≈ GM/(Rc²) and the surface gravity relation g = GM/R², the paper reformulates gravitational redshift as z ≈ R/λg. This result suggests that gravitational redshift can be interpreted as the ratio between the spatial scale of a gravitating body and its associated gravitational wavelength. In this formulation, the redshift is not determined by gravitational acceleration alone, but by the combined scale ratio between the radius of the object and its gravitational wavelength. Numerical examples for Earth, the Sun, and the white dwarf Sirius B show that the proposed formulation reproduces the expected order of magnitude of known gravitational redshift values. The solar case gives z ≈ 2.12 × 10⁻⁶, corresponding to an equivalent velocity shift of approximately 636 m/s and a wavelength shift of approximately 0.00106 nm for 500 nm light. The Sirius B example demonstrates that the same scale-ratio framework remains meaningful for compact objects, while requiring more detailed stellar parameters for high-precision comparison. The paper also develops a relativistic extension of the framework. In weak fields, the gravitational wavelength is written as λg = c²/g. In strong gravitational fields, the same scale-ratio structure can be preserved by introducing an effective relativistic gravitational wavelength λg,rel, allowing the expression z = R/λg,rel to reproduce the exact Schwarzschild gravitational redshift. Thus, the SGW framework is presented not as a replacement for general relativity, but as a dimensional and wave-scale reinterpretation of a well-established relativistic effect. This work may be useful for researchers interested in gravitational redshift, dimensional analysis, wave-scale interpretations of gravitational phenomena, compact-object redshift, and conceptual bridges between gravitational acceleration, spatial scale, and wavelength shift.