scholarly journals The Puzzling of Zero-Point Energy Contribution to Black-Body Radiation Spectrum: The Role of Casimir Force

2017 ◽  
Vol 16 (04) ◽  
pp. 1771002 ◽  
Author(s):  
L. Reggiani ◽  
E. Alfinito
Keyword(s):  
Casimir Force ◽  
Radiation Spectrum ◽  
Mechanical Stability ◽  
Zero Point ◽  
Direct Consequence ◽  
Black Body ◽  
Thermal Fluctuations ◽  
Black Body Radiation ◽  
Point Energy ◽  
Nyquist Noise

The role played by zero-point contribution in black-body radiation spectrum is investigated in connection with the presence of Casimir force. We assert that once mechanical stability for the physical system is established, there is no further role for zero-point contribution to the spectrum in full agreement with experimental evidence. As a direct consequence, Johnson–Nyquist noise in dissipative conductors, should be interpreted just in terms of thermal fluctuations only, thus neglecting quantum fluctuations predicted by [H. Callen and T. Welton, Irreversibility and generalized noise, Phys. Rev. 83 (1951) 34]. Casimir force between opposite metallic plates can be independently measured by its equilibration through application of a mechanical force and measuring it at a mechanical equilibrium.

DOES LIOUVILLE'S THEOREM IMPLY QUANTUM MECHANICS?

1999 ◽  
Vol 13 (02) ◽  
pp. 161-189
Author(s):  
C. SYROS
Keyword(s):  
Quantum Mechanics ◽  
Radiation Spectrum ◽  
Black Body ◽  
Boltzmann Distribution ◽  
Black Body Radiation ◽  
Planck Constant ◽  
Klein Gordon ◽  
Energy Variable ◽  
Liouville’S Theorem ◽  
Liouville’S Equation

The essentials of quantum mechanics are derived from Liouville's theorem in statistical mechanics. An elementary solution, g, of Liouville's equation helps to construct a differentiable N-particle distribution function (DF), F(g), satisfying the same equation. Reality and additivity of F(g): (i) quantize the time variable; (ii) quantize the energy variable; (iii) quantize the Maxwell–Boltzmann distribution; (iv) make F(g) observable through time-elimination; (v) produce the Planck constant; (vi) yield the black-body radiation spectrum; (vii) support chronotopology introduced axiomatically; (viii) the Schrödinger and the Klein–Gordon equations follow. Hence, quantum theory appears as a corollary of Liouville's theorem. An unknown connection is found allowing the better understanding of space-times and of these theories.

From Casimir Forces to Black-Body Radiation: Quantum and Thermal Fluctuations

2017 ◽  
Author(s):  
Alejandro W. Rodriguez ◽  
Adolfo Plasencia
Keyword(s):  
Driving Force ◽  
Black Body ◽  
Thermal Fluctuations ◽  
Black Body Radiation ◽  
Casimir Forces ◽  
Princeton University ◽  
Virtual Photons ◽  
Recent Developments ◽  
The Subject ◽  
Relationship Of

This dialogue with physicist Alejandro W. Rodríguez is in two parts. The first part, which took place in the MIT campus, reflects on how theory has been overtaking experimentation in recent developments in science. It also addresses the subject of the Casimir forces and their effects by using devices which benefit from them in everyday life. Later, Alejandro explains why the vacuum is not empty; and, what are the "virtual photons". In the second part, Alejandro explains his current research in the Department of Electrical Engineering of Princeton University, focusing on the black body; and quantum and thermal processes of electromagnetic fluctuations at the nanoscale, where the rules of quantum mechanics now hold sway. He is now studying quantum fluctuations and how the forces and energy exchanged between objects work. This all-important area is the current driving force for development in the field of thermovoltaic energy and thermal panels for capturing light; an area with a revolutionary potential capable of changing the existing relationship of humans with energy, technology and the environment, in other words, with the planet.

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.

Notizen: On Phase Space and Statistics of Continua

1986 ◽  
Vol 41 (10) ◽  
pp. 1258-1260
Author(s):  
H. Tasso
Keyword(s):  
Phase Space ◽  
Radiation Spectrum ◽  
Vries Equation ◽  
Discrete Systems ◽  
Black Body ◽  
Black Body Radiation ◽  
De Vries

Problems in introducing suitable phase space and statistics occur for continua and degenerate discrete systems. The solution of these problems for the Korteweg-de Vries equation is discussed. The classical removal of the ultraviolet catastrophe in this case is contrasted with Planck’s black-body radiation spectrum.

Equation of motion for a charged bound particle in a zero-point field

1990 ◽  
Vol 68 (6) ◽  
pp. 508-525 ◽  
Author(s):  
M. Battezzati
Keyword(s):  
Diffusion Equation ◽  
Probability Density ◽  
Equations Of Motion ◽  
Zero Point ◽  
Black Body ◽  
Random Force ◽  
Black Body Radiation ◽  
Stochastic Force ◽  
Starting Point ◽  
Point Field

A method previously proposed by the same author, of solving the equations of motion in the presence of friction and an external stochastic force, is applied to the nonrelativistic Dirac equation for a charged bound pointlike particle in a black-body radiation field. It separates the particle velocity field, under the assumtion of stationarity, into a position-dependent component and a randomly fluctuating component depending mainly upon the time. This description of the possible stationary states of the bound particle in the random force field is taken as a starting point for establishing a diffusion equation in configuration space. Since we identify the first component with the drift velocity, we show that it must be the solution to a modified Hamilton–Jacobi equation by using a term that is the counterpart of the quantum modification to the same equation, which has as a first approximation exactly the same form. This term gives results proportional to the diffusion coefficient and, thereby, to the spectral density of the external random force. The diffusion equation that is obtained has complex coefficients and therefore it defines a probability density for the complex values of the variable coordinate. We propose an interpretation of this probability density, based on a specific example.

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.

scholarly journals Simulation of Radiation Calculation of Black Body by Using the Interpolation Method

2019 ◽  
Vol 5 (1) ◽  
pp. 23
Author(s):  
Feli Cianda Adrin Burhendi ◽  
Rizky Dwi Siswanto ◽  
Wahyu Dian Laksanawati
Keyword(s):  
Programming Languages ◽  
Radiation Spectrum ◽  
Interpolation Method ◽  
Line Graph ◽  
Black Body ◽  
Black Body Radiation ◽  
Small Error ◽  
Light Radiation ◽  
Computational Processes

Simulation of radiation calculation of black body by using the interpolation method is designed to facilitate the determination of radiation in black matter efficiency. Fortran programming languages are chosen for computational processes. The calculation program that has been designed is able to calculate the efficiency of black body radiation easily and quickly with a fairly small error rate of 0.5\%. The light radiation spectrum of objects is around 1000, 1100, 1200, and 1300 $^{\circ}$C. The $x$ axis shows the wavelength, while the $y$ axis shows the intensity or strength of light. If we pay attention to the curvature of 1000 $^{\circ}$C, along with the increasing frequency of light, the intensity of light is also getting stronger aka more bright. But at certain light frequencies, the line reaches the peak, and after that the light intensity drops dramatically. At temperatures of 1200 $^{\circ}$C and 1300 $^{\circ}$C, even though the temperature rises, the outline of the line graph is similar to the line 1000 $^{\circ}$C. This is in accordance with the existing theoretical and experimental results.

Zero-point energy and photon spin-induced diffraction phenomena

2020 ◽  
Vol 17 (supp01) ◽  
pp. 2040006
Author(s):  
A. Widom ◽  
J. Swain ◽  
Y. N. Srivastava ◽  
M. Blasone ◽  
G. Vitiello
Keyword(s):  
Electron Diffraction ◽  
Relativistic Electron ◽  
Maxwell Equations ◽  
Zero Point ◽  
Black Body ◽  
Zero Point Energy ◽  
Symmetric Motion ◽  
Point Energy ◽  
Time Formalism ◽  
Relativistic Extension

A brief review of our previously introduced forward and backward in time formalism for non-relativistic electron diffraction and its relativistic extension to study photons in time and space is presented. The zero-point energy in the Planck black body spectrum emerges naturally once time-symmetric motion — inherent in Maxwell equations — is invoked for photons. A study of two-slit experiments for slits smaller than the wavelength of the photon unravels novel phenomena due to the spin of the photon. Our proposed experiments are within reach of present technology and could be of interest for modern imaging and quantum optics.

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