Gravitational Equivalent Frequency and the Planck Length

Abstract

The mass equivalency [m*c^2 = h*f] applies to gravitational mass just as to inertial mass. From that, the gravitational mass has a corresponding, associated, equivalent frequency, f. Using that frequency a new result is obtained in which the significance of the Planck Length is clarified. The Planck Length is fundamental to gravitation and in effect supercedes G in that role because it is found that there is operational or mechanical significance to the role of the Planck Length in gravitation whereas G is simply a constant of proportionality. It further is shown that the Planck Length [and, likely the Planck mass and the Planck time] are slightly mis-defined by the use of h-bar [h/2pi] rather than simply Planck's constant, h. Theoretical implications of these results are presented. In addition, the applicability of using the frequency aspect of mass in the analysis of gravitation, and the nature of the results obtained, would appear to imply a considerably greater significance for the frequency, that is the WAVE, aspect of mass, matter, and particles in general than has been heretofore recognized.