A Note about the Size of the PSU

In the article I present Haramein’s formulation of the PSU which sets the diameter equal to the Planck length. Although it has no real bearing on the PSU oscillation, which is the main focus of the article, it’s important to note the flaw in his approach. It requires different coefficients for both holographic mass solutions, as the actual proton mass differs by a factor of 2 and the electron mass differs by a factor of 1/2.

The issue is easily resolved for the proton mass when the radius, not the diameter, of the PSU is equal to the Planck length. This however leads to the actual electron mass differing by a factor of 1/4. The error seems to arise from applying the same holographic mass solution to the proton with respect to its charge radius and the electron with respect to the Bohr radius, which have one very important difference. While the proton’s center of mass resides in the center of its charge radius, the same is not true of the electron with respect to the Bohr radius. The fact that we must assign a velocity factor of ~1/137 to the electron’s motion is a clear indication that the relationship between me and a0 is different phenomenologically from the relationship between mp and rp. So to resolve the factor of 1/4 we can simply apply a different method of computation. Rather than count the number of PSU equatorial disks on the spherical surface area of the Bohr atom in the calculation of the electron’s holographic mass, we must count the number of PSU equatorial disks in the circular area defined by the Bohr radius. Adopting this approach and setting the PSU radius equal to the Planck length thus eliminates the issue with the unexplained coefficients.