Holte, Mark D2023-03-012023-03-012023https://hdl.handle.net/11299/252791There are 6 files attached to this record. The main file, TransitionRadiusMethodEdited-20230218.pdf, is the final version of the manuscript written by Mark D. Holte in 2006 and edited for style and audience by Dr. Richard Gran (UMD Department of Physics and Astronomy) in 2023. Source files for this version (TransitionRadiusMethodEditedMainLatex-20230218.tex and TransitionRadiusMethodEditedReferences-20230218.bib) are also available. The unedited version from 2006 is attached (TransitionRadiusMethodExtended-20060930.pdf) along with an earlier self-published work from 2003 (TransitionRadiusMethod-20031227.pdf), which formed the basis of the later manuscript. Finally, a scan of Mr. Holte’s notes (HolteHandwrittenNotes_Redacted.pdf), with a very small section redacted due to personal content, is also included.Solving the 𝑅22 Ricci expression iteratively yields a way to define both a transition radius and a new expression for determining fundamental boson energies. This transition radius can be defined as a radius value where the three spatial dimension f(r) metric component is equal to the same higher dimensional metric component, and the benefit of this transition radius is that it can be used to determine the energy of fundamental boson types and fundamental particle types. This method fits a total of fifteen boson types including the W, Z, and X bosons. Also, letting a higher dimensional radius go to zero for an infinite number of spatial dimensions predicts an energy for a new boson type. The transition radius method seems to be a preferable way to resolve a part of the hierarchy problem because it fits fundamental particle energies, it yields a simple expression for boson energy, and it is derived from general relativity.enScholarly Text or Essay