Abstract

The frequency spectrum of the cosmical Zero Point Energy (ZPE) and its total density are so far unknown in their details. In the present complementary investigation, a revised theory forms the basis for studies of this concept in two respects. It first applies to the observable universe considered as an entity, as well as to included subregions such as the galaxies with supermassive black holes. Second, experiments are proposed on the maximum Casimir force arising between two metal plates of different materials and with a vanishing air gap in their spacing. This serves the purpose of making an indirect determination of the ZPE energy density in the laboratory, i.e. at the Earth’s orbit. The ZPE energy density is interpreted as dark matter density and its pressure gradient as dark energy force density.

Highlights

  • In his pioneering studies of the harmonic oscillator Planck [1] showed that there existed a lowest nonzero ground state energy level, called Zero Point Energy (ZPE)

  • The frequency spectrum of the zero Point Energy and its total density on cosmical scale are unknown in their details

  • The present complementary investigation includes a revised theory, forming the basis for determinations of this energy density. This concerns the values of the latter within the observable universe considered as an entity, as well as in subregions such as the galaxies including supermassive black holes

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Summary

Introduction

In his pioneering studies of the harmonic oscillator Planck [1] showed that there existed a lowest nonzero ground state energy level, called Zero Point Energy (ZPE). An example of the related electromagnetic vacuum fluctuations was later given by Casimir [2] who predicted that two metal plates would attract each other when being sufficiently close together. This force was first confirmed experimentally by Lamoreaux [3]. It reveals the existence of a real macroscopic pressure and energy density, originating from photon-like fluctuations of the ZPE. As pointed out by the author [7]-[11], this is unacceptable from the physical point of view, as well as due to the facts that such an analysis both becomes underdetermined and is based on states of the ensemble which all

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