## Background

The proton radius is the distance from the proton’s center to the edge of the proton. In energy wave theory, the proton is modeled as a pentaquark (four particles and an antiparticle), allowing for the attractive and repelling forces used to calculate atomic orbital energies and distances in the *Atomic Orbitals *paper. This paper calculates the radius of the proton based on a new proposed structure.

See also: What’s In a Proton (for an explanation of the decay process)

## Derivation – Proton Radius

In energy wave theory, the proton has a different structure than the currently accepted structure consisting of three quarks. Instead, the proton radius is based on four electrons in a tetrahedral shape with a positron in the center. At a separation distance of one electron wavelength (Kλ_{l}), it forms a strong bond (gluons) due to constructive wave interference of four electrons. The original radius of K^{2}λ_{l} meters is now only one-electron wavelength Kλ_{l} meters. Kλ_{l} is the electron core radius.

The radius to the circumpshere of a tetrahedral shape is used below in the calculation (the calculation of radius is the square root of 3/8 * length of base). At the base of one edge of the tetrahedron are two electrons. They both have a radius of Kλ_{l}, or 2 Kλ_{l} in diameter. Two electrons with this diameter, separated by one electron wavelength is: 2Kλ + 2Kλ + Kλ, = 5Kλ meters in length for the base of the tetrahedron.

## Classical Constant FormN/A |
## Wave Constant Form |

Using classical constants | Using energy wave constants |

**Calculated Value: **8.6833E-16

**Difference from CODATA:** 0.780%

**Calculated Units**: meters (m)

**Note:** This is one constant that exceeds an acceptable difference between the calculated value and the CODATA value. No g-factor has been used in the calculation of the proton. Its value differs from the CODATA value of 8.7516E-16, but the radius of the proton is subject to debate. Various experiments have a range of 8.4E-16 to 8.7E-16 m.

Its value was calculated and shown to match the known value in the Summary of Calculations table. *The derivation of this constant is available in the Fundamental Physical Constants paper.*