Theoretical Prediction of the Size of a Proton and Revision of the Rydberg Formula
| Scientific Paper | |
|---|---|
| Title | Theoretical Prediction of the Size of a Proton and Revision of the Rydberg Formula |
| Read in full | Link to paper |
| Author(s) | Koshun Suto |
| Keywords | Einstein's energy-momentum relationship, Proton radius, Rydberg formula, Electron radius, Copenhagen interpretation. |
| Published | 2008 |
| Journal | General Science Journal |
| No. of pages | 16 |
Read the full paper here
Abstract
For a particle at rest in macroscopic space that begins moving when energy is added, the equation for Einstein's energy-momentum relation represents the relationship between the particle's total energy and momentum, and rest mass energy. When the kinetic energy of the particle increases, so does its total energy. However, things are different when electrons at rest approach the nuclei of hydrogen atoms - protons - thereby creating hydrogen atoms. An electron with rest mass energy will reduce its total energy by emitting photons outside the atom but at the same time will gain kinetic energy. This paper derives the following equation as an equation for an electron inside an atom. The physical quantity, thought to be the radius of a proton, can be naturally derived by substituting Bohr's quantum condition into this equation. This value is r = 0.705 fm. This raises the need to revise the famous Rydberg formula to take into consideration the size of a proton. The following equation was derived by this paper as an equation to predict the wavelength of a photon emitted when an electron inside a hydrogen atom undergoes a transition. As was true at the beginning of the 20th century, the current-day theoretical value and actual value of the Balmer series spectral wavelength for a hydrogen atom are not entirely consistent. The photon wavelength as predicted by this paper is closer to the actual value than the value predicted by classical quantum theory. Also, if we focus on how the mass of an electron is involved in determining the size of a proton, and assume that the mass of a proton is involved in determining the size of an electron, we can also predict the electron radius.
