<b>"Revisiting Critical Mass and Fundamental Frequencies: A Unified Approach Using Universal Constants"</b>

<b>Abstract:</b><br>This theoretical work investigates the interplay between critical mass, fundamental frequencies, and physical constants within the framework of quantum mechanics and relativity. By deriving expressions solely based on universal constants, such as Planck’s constant (), the gravitational constant (), the speed of light (), and others, this study establishes a strict mathematical foundation for key physical phenomena. The concept of a critical mass () is central to the analysis, leading to results that link mass, momentum, wavelength, and frequency through consistent and rigorous derivations. These results reinforce the relationships between quantum uncertainty, relativistic limits, and fundamental frequencies of composite bodies. Additionally, the study posits critical insights into the tension between quantum and relativistic physics, offering a coherent mathematical explanation for their intersection.This work is presented purely as a theoretical analysis, and the findings aim to provide a foundational perspective for future investigations into the nature of mass, energy, and frequency at critical scales.<b>Keywords:</b> Quantum Mechanics, Relativity, Critical Mass, Fundamental Constants, Theoretical Physics, Planck Units