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Spin in the Dirac and Schr¨odinger Equations According to the Planck Vacuum Theory

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  • William C. Daywitt

Abstract

This paper examines the concept of particle spin as it applies to the Dirac and Schr¨odinger equations in the Planck vacuum (PV) theory. Results show: that the reduced Planck constant is equal to the spin coefficient for the Planck particle (PP), the proton, and the electron cores; that the well-known energy and momentum operators can be used to derive the Schr¨odinger equation; that the wavefunctions for both equations are related to the electron Compton radius; and that the relativistic spin operator is derived from the Dirac equation.The spin and mass of the electron or proton cores are created simultaneously within the PV and transmitted into free space.

Suggested Citation

  • William C. Daywitt, 2023. "Spin in the Dirac and Schr¨odinger Equations According to the Planck Vacuum Theory," European Journal of Applied Physics, European Open Science, vol. 5(5), pages 8-10, September.
    • Handle: RePEc:epw:physic:v:5:y:2023:i:5:id:11278
    DOI: 10.24018/ejphysics.2023.5.5.278
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    References listed on IDEAS

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    1. William C. Daywitt, 2021. "The Zero-Point Oscillations in the Planck Vacuum State and Its Coordinate Uncertainty," European Journal of Engineering and Technology Research, European Open Science, vol. 6(4), pages 13-15, April.
    2. William C. Daywitt, 2022. "The Compton Effect in the Planck Vacuum Theory," European Journal of Applied Physics, European Open Science, vol. 4(6), pages 20-21, October.
    3. William C. Daywitt, 2020. "Comparing the Planck-Vacuum and Urantia-Book Depictions of the Seven-Dimensional Spacetime," European Journal of Engineering and Technology Research, European Open Science, vol. 5(12), pages 11-13, December.
    4. William C. Daywitt, 2023. "Electron Recoil in the Compton Effect as Viewed in the Planck Vacuum Theory," European Journal of Applied Physics, European Open Science, vol. 5(2), pages 28-30, March.
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    Cited by:

    1. William C. Daywitt, 2023. "The Relativistic Energy-Momentum Equation in the Planck Vacuum Theory," European Journal of Applied Physics, European Open Science, vol. 5(6), pages 70-72, November.
    2. William C. Daywitt, 2024. "Equation of Motion for the Electron or Proton Cores in Free Space According to the Planck Vacuum Theory," European Journal of Applied Physics, European Open Science, vol. 6(2), pages 44-45, March.

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