A Simple Pythagorean Interpretation of E$^{2} = $ p$^{2}$c$^{2} +$ (mc$^{2})^{2}$

POSTER

Abstract

We are considering the relationship between the relativistic energy, the momentum, and the rest energy, $E^{2}=p^{2}c^{2} + $\textit{ (mc}$^{2})^{2},$ and using geometrical means to analyze each individual portion in a spatial setting. The aforementioned equation suggests that \textit{pc} and \textit{mc}$^{2}$ could be thought of as the two axis of a plane. According to de Broglie's hypothesis $\lambda =h/p$ therefore suggesting that the \textit{pc}-axis is connected to the wave properties of a moving object, and subsequently, the \textit{mc}$^{2}$-axis is connected to the particle properties. Consequently, these two axis could represent the particle and wave properties of the moving object. An overview of possible models and meaningful interpretations will be presented.

Authors

  • J.A. Tobar

    Department of Physics, Pacific Union College, Angwin, CA 94508

  • E.L. Vargas

    Department of Physics, Pacific Union College, Angwin, CA 94508

  • V.M. Andrianarijaona

    Department of Physics, Pacific Union College, Angwin, CA 94508