The Zero-Point Oscillations in the Planck Vacuum State and Its Coordinate Uncertainty

William C Daywitt

doi:10.24018/ejers.2021.6.4.2431

Abstract

This short paper argues that the charged quantum oscillators in the quasi-continuum Planck vacuum (PV) state are responsible for the zero-point oscillations in that state. The Planck particle (PP) quantum energy levels for the oscillators are derived from first principles. The PV coordinate uncertainty concerning the PV structure easily follows from these results.

Highlights

T HE Planck vacuum theory supports a 7-dimensional spacetime that consists of one observed and one unobserved 4-dimensional spacetime
The following development calculates the Planck particle (PP) zero-point oscillator fields associated with the 4-dimensional observed spacetime, and reveals the intimate connection between these oscillators and the uncertainty of the underlying Planck vacuum (PV) space
That space consists of a continuum that is pervaded by a degenerate collection of PP cores—it is the discrete nature of this collection that leads to the PV coordinate uncertainty

Summary

INTRODUCTION

T HE Planck vacuum theory supports a 7-dimensional spacetime that consists of one observed and one unobserved 4-dimensional spacetime. The following development calculates the PP zero-point oscillator fields associated with the 4-dimensional observed spacetime, and reveals the intimate connection between these oscillators and the uncertainty of the underlying PV space. The fine structure constant is given by the ratio α ≡ e2/e2∗, where e is the observed electronic charge magnitude. The ratio e2∗/c to the right of the arrow is the spin coefficient for the PP, the proton, and the electron cores, whereh is the reduced Planck constant. The separate PP cores (±e∗, m∗) exert on the degenerate PV state. This equation can be used to model the PP oscillator.

PLANCK PARTICLE OSCILLATOR

COMMENTS AND CONCLUSIONS

COORDINATE UNCERTAINTY