On Convergence Generation in Computing the Electro-Magnetic Casimir Force

2008 ◽  
Vol 63 (9) ◽  
pp. 571-574
Author(s):  
Frédéric Schuller
Keyword(s):  
Casimir Force ◽  
Fundamental Problem ◽  
Casimir Effect ◽  
Zero Point ◽  
Zero Point Energy ◽  
Point Energy ◽  
Cavity Radiation ◽  
Field Fluctuations ◽  
Electro Magnetic

We tackle the very fundamental problem of zero-point energy divergence in the context of the Casimir effect. We calculate the Casimir force due to field fluctuations by using standard cavity radiation modes. The validity of convergence generation by means of an exponential energy cut-off factor is discussed in detail.

CASIMIR FORCE BETWEEN A GRAVITATIONAL FIELD AND A FINITE OBJECT

2002 ◽  
Vol 11 (10) ◽  
pp. 1567-1572 ◽  
Author(s):  
FABRIZIO PINTO
Keyword(s):  
Gravitational Field ◽  
Casimir Force ◽  
Casimir Effect ◽  
Finite Size ◽  
Zero Point ◽  
Point Energy ◽  
Energy Field ◽  
Static Gravitational Field ◽  
Vacuum Gap ◽  
Infinite Media

In the typical Casimir effect, the boundaries of two semi-infinite media exert a force upon one another across a vacuum gap separating them. In this paper, I argue that a static gravitational field can be regarded as a "soft" boundary which interacts with a test object of finite size through the electromagnetic zero-point-energy field. Therefore, a pressure exists upon a single slab placed in a gravitational field and surrounded by a vacuum. Interestingly, this extremely small Casimir pressure of the gravitational field may cause relative displacements in ground-based sensing microstructures larger than those from astrophysical gravitational waves in macroscopic antennas.

A new approach to detecting gravitational waves via the coupling of gravity to the zero-point energy of the phonon modes of a superconductor

2017 ◽  
Vol 26 (12) ◽  
pp. 1743031 ◽  
Author(s):  
Nader A. Inan
Keyword(s):  
Gravitational Wave ◽  
Casimir Effect ◽  
Zero Point ◽  
Harmonic Oscillators ◽  
Phonon Modes ◽  
Zero Point Energy ◽  
Dynamical Casimir Effect ◽  
Point Energy ◽  
Pair Density ◽  
Ionic Lattice

The response of a superconductor to a gravitational wave is shown to obey a London-like constituent equation. The Cooper pairs are described by the Ginzburg–Landau free energy density embedded in curved spacetime. The lattice ions are modeled by quantum harmonic oscillators characterized by quasi-energy eigenvalues. This formulation is shown to predict a dynamical Casimir effect since the zero-point energy of the ionic lattice phonons is modulated by the gravitational wave. It is also shown that the response to a gravitational wave is far less for the Cooper pair density than for the ionic lattice. This predicts a “charge separation effect” which can be used to detect the passage of a gravitational wave.

scholarly journals The Casimir Effect: Physical Manifestations of Zero-Point Energy

2003 ◽  
Vol 71 (1) ◽  
pp. 93-93
Author(s):  
Kimball A. Milton ◽  
S. K. Lamoreaux
Keyword(s):  
Casimir Effect ◽  
Zero Point ◽  
Zero Point Energy ◽  
Point Energy

scholarly journals VACUUM ENERGY: MYTHS AND REALITY

2006 ◽  
Vol 15 (12) ◽  
pp. 1987-2010 ◽  
Author(s):  
G. E. VOLOVIK
Keyword(s):  
Dark Energy ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Casimir Effect ◽  
Zero Point ◽  
Ultraviolet Divergence ◽  
Many Body ◽  
Zero Point Energy ◽  
Point Energy ◽  
Absolute Value

We discuss the main myths related to the vacuum energy and cosmological constant, such as: "unbearable lightness of space–time"; the dominating contribution of zero-point energy of quantum fields to the vacuum energy; non-zero vacuum energy of the false vacuum; dependence of the vacuum energy on the overall shift of energy; the absolute value of energy only has significance for gravity; the vacuum energy depends on the vacuum content; cosmological constant changes after the phase transition; zero-point energy of the vacuum between the plates in Casimir effect must gravitate, that is why the zero-point energy in the vacuum outside the plates must also gravitate; etc. All these and some other conjectures appear to be wrong when one considers the thermodynamics of the ground state of the quantum many-body system, which mimics macroscopic thermodynamics of quantum vacuum. In particular, in spite of the ultraviolet divergence of the zero-point energy, the natural value of the vacuum energy is comparable with the observed dark energy. That is why the vacuum energy is the plausible candidate for the dark energy.

Origin of singularity in Big Bang theory from zero point energy

2017 ◽  
Vol 95 (8) ◽  
pp. 767-769 ◽  
Author(s):  
Tapan Das
Keyword(s):  
Casimir Effect ◽  
Zero Point ◽  
Big Bang ◽  
Zero Point Energy ◽  
Observable Universe ◽  
Point Energy ◽  
Mathematical Proposition ◽  
Big Bang Theory ◽  
Entire Universe ◽  
The Universe

This paper presents a mathematical proposition based on zero point energy of the creation of singularity in the current Hot Bing Bang theory of the origin of the universe. The observable universe we live in and can see is finite and is defined by the speed of light. The entire universe is infinite and the observable universe is part of it. Zero point energy exists in the entire universe and at all frequencies up to the Planck frequency. Zero point energy was calculated by Planck. The Casimir effect, predicted by Hendrick Casimir, is caused by zero point energy and has been experimentally proven by S. Lamoreux and U. Mohideen. The author has mathematically calculated that the zero point energy waves up to Planck frequency can combine to create an energy source of colossal amount similar to the singularity of Hot Big Bang theory.

The Dynamical Casimir Effect and Energetic Sources for Gamma Ray Bursts

2003 ◽  
Vol 18 (19) ◽  
pp. 1325-1330 ◽  
Author(s):  
She-Sheng Xue
Keyword(s):  
Gamma Ray ◽  
Casimir Effect ◽  
Zero Point ◽  
Gamma Ray Bursts ◽  
Quantum Field ◽  
Dynamical Casimir Effect ◽  
Point Energy ◽  
Field Coupling ◽  
Virtual Particles ◽  
Field Fluctuations

On the analogy of the Casimir effect, we present an effect of quantum-field fluctuations, attributed to gravitational field coupling to the zero-point energy of virtual particles in the vacuum. In the process of black hole's formation, such an effect could cause tremendous energy release, possibly describing a scenario of energetic sources for observed gamma ray bursts.

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