Uncertainty principle, quantum fluctuations, and broken symmetries

1991 ◽  
Vol 85 (5-6) ◽  
pp. 377-388 ◽  
Author(s):  
L. Pitaevskii ◽  
S. Stringari
Keyword(s):  
Uncertainty Principle ◽  
Quantum Fluctuations ◽  
Broken Symmetries

Quantum fluctuations and the Casimir effect

2020 ◽  
Vol 29 (08) ◽  
pp. 2050059 ◽  
Author(s):  
Daniel Chemisana ◽  
Jaume Giné ◽  
Jaime Madrid
Keyword(s):  
Spherical Shell ◽  
Uncertainty Principle ◽  
Casimir Effect ◽  
Quantum Fluctuations ◽  
Casimir Energy ◽  
Effective Radius ◽  
Vacuum Fluctuations ◽  
Effective Distance ◽  
Observable Consequence

The most important observable consequence of the vacuum fluctuations is the Casimir effect. Its classical manifestation is a force between two uncharged conductive plates placed a few nanometers apart. In this work, we improve the deduction of the Casimir effect from the uncertainty principle by using an effective radius for the quantum fluctuations. Moreover, the existence of this effective distance is discussed. Finally, a heuristic derivation of the Casimir energy for a spherical shell and a sphere-plate cases is given.

UNCERTAINTY PRINCIPLE AND THE QUANTUM FLUCTUATIONS OF THE SCHWARZSCHILD LIGHT CONES

1986 ◽  
Vol 01 (02) ◽  
pp. 491-498 ◽  
Author(s):  
T. PADMANABHAN ◽  
T.R. SESHADRI ◽  
T.P. SINGH
Keyword(s):  
Gravitational Field ◽  
Event Horizon ◽  
Uncertainty Principle ◽  
Light Cone ◽  
Uncertainty Relation ◽  
Quantum Fluctuations ◽  
Point Mass ◽  
Conjugate Momentum

We consider the gravitational field of a point mass and show that the application of the uncertainty principle leads to (i) an uncertainty relation for the metric and its conjugate momentum and (ii) finite fluctuations of the light-cone at the event horizon.

scholarly journals QUANTUM REMNANT AS DARK ENERGY AND DARK MATTER

2011 ◽  
Vol 01 ◽  
pp. 277-284
Author(s):  
SANG PYO KIM ◽  
SEOKTAE KOH
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Scalar Field ◽  
Uncertainty Principle ◽  
Dark Energy Model ◽  
Quantum Fluctuations ◽  
Complex Scalar ◽  
Linear Perturbations ◽  
Complex Scalar Field ◽  
The Universe

We study the quantum remnant of a scalar field protected by the uncertainty principle. The quantum remnant that survived the later stage of evolution of the universe may provide dark energy and dark matter depending on the potential. Though the quantum remnant shares some useful property of complex scalar field (spintessence) dark energy model, quantum fluctuations are still unstable to the linear perturbations for V ~ ϕq with q < 1 as in the spintessence model.

UNCERTAINTY PRINCIPLE AND THE QUANTUM FLUCTUATIONS OF THE LIGHT CONES IN THE STATIC SPACE-TIMES

1986 ◽  
Vol 01 (03) ◽  
pp. 731-737 ◽  
Author(s):  
VARSHA DAFTARDAR ◽  
NARESH DADHICH
Keyword(s):  
Uncertainty Principle ◽  
Light Cone ◽  
Uncertainty Relation ◽  
Quantum Fluctuations ◽  
Surface Gravity ◽  
Asymptotically Flat ◽  
Cone Structure ◽  
Source Point ◽  
Static Space

The application of the uncertainty relation to position and velocity of a source point represented by a general asymptotically flat static metric leads to fluctuations of the metric and the light cone structure. The fluctations in the coordinate photon velocity are given by the formula [Formula: see text] where k is the surface gravity and m is the mass of the source point.

Quantum fluctuations and the double-slit experiment

2019 ◽  
Vol 34 (18) ◽  
pp. 1950139 ◽  
Author(s):  
Jaume Giné
Keyword(s):  
Quantum Mechanics ◽  
Uncertainty Principle ◽  
Quantum Fluctuations ◽  
Vacuum Fluctuations ◽  
Wave Particle Duality ◽  
Double Slit Experiment ◽  
Slit Experiment ◽  
Double Slit

The double-slit experiment is a demonstration of wave-particle duality and one of the most fundamental experiments that help us understand the nature of quantum mechanics. In this work, we give a new explanation of this experiment in terms of the uncertainty principle and vacuum fluctuations. This explanation allows one to understand why the electron interferes with itself when being shot through the double-slit.

Quantum fluctuations have been shown to affect macroscopic objects

Nature ◽  
2020 ◽  
Vol 583 (7814) ◽  
pp. 31-32
Author(s):  
Valeria Sequino ◽  
Mateusz Bawaj
Keyword(s):  
Quantum Fluctuations ◽  
Macroscopic Objects

Quantum fluctuations in magnetic nanostructures

2018 ◽  
Vol 189 (01) ◽  
pp. 85-94
Author(s):  
Yuri N. Barabanenkov ◽  
Sergej A. Nikitov ◽  
Mikhail Yu. Barabanenkov
Keyword(s):  
Magnetic Nanostructures ◽  
Quantum Fluctuations

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

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