scholarly journals Applications of Polymeric Quantisation

2019 ◽  
Vol 206 ◽  
pp. 09016
Author(s):  
Chen Jia Pern Neville ◽  
Ching Chee Leong
Keyword(s):  
Harmonic Oscillator ◽  
Loop Quantum Gravity ◽  
Correction Term ◽  
High Energy ◽  
Physical Significance ◽  
Length Scale ◽  
Basic Principles ◽  
Thermodynamical Properties ◽  
Fundamental Length ◽  
Additional Correction

Polymer quantisation is a background independent quantisation scheme inspired by loop quantum gravity. Under this quantisation scheme, it predicts that space is discretised and changes in multiples of a fundamental length scale λ. As a result, the momentum operator is not well-defined. However, a new operator can be defined such that a Schrödinger-like equation can be retrieved. The solutions give rise to eigenspectra which are similar to the standard counterparts, with an additional correction term due to λ. We present the basic principles of the polymer representation and apply it to the harmonic oscillator to study the phenomenological implications of such solutions. In addition, we consider an ensemble of such oscillators and calculated the thermodynamical properties for systems that safisty the bosonic and fermionic statistics. The results presented may have physical significance at high energy scales or in exotic matter.

Thermodynamical dimensional reduction in a UV & IR-deformed Snyder space

2017 ◽  
Vol 26 (11) ◽  
pp. 1750126
Author(s):  
Kourosh Nozari ◽  
Hamed Ramezani
Keyword(s):  
Harmonic Oscillator ◽  
Dimensional Reduction ◽  
Degrees Of Freedom ◽  
Length Scale ◽  
3 Dimensional ◽  
Six Degrees Of Freedom ◽  
Thermodynamical Properties ◽  
Equipartition Theorem ◽  
Oscillator Length ◽  
Set Up

We study a formulation of statistical mechanics in the context of symplectic structures of the IR and also UV & IR-deformed Snyder phase-spaces. We derive the corresponding invariant Liouville volume and by using it we obtain the deformed partition function. We then study the thermodynamical properties of the 3-dimensional harmonic oscillator in this set-up. By using the equipartition theorem, we show that two of the six degrees of freedom for a 3-dimensional harmonic oscillator will be frozen as the temperature increases. Also, at a constant temperature, whatever is the increase in oscillator length, this reduction of the number of degrees of freedom gets more and more appreciable and it offers an effective dimensional reduction of space from [Formula: see text] to [Formula: see text] when it is close to the IR-length scale.

scholarly journals EXOTIC STATISTICS FOR ORDINARY PARTICLES IN QUANTUM GRAVITY

2008 ◽  
Vol 17 (13n14) ◽  
pp. 2475-2484
Author(s):  
JOHN SWAIN
Keyword(s):  
Black Holes ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Piecewise Linear ◽  
Uncertainty Relations ◽  
Length Scale ◽  
Linear Fashion ◽  
Fundamental Length ◽  
Small Scales ◽  
Gravity Effects

Objects exhibiting statistics other than the familiar Bose and Fermi ones are natural in theories with topologically nontrivial objects, including geons, strings, and black holes. It is argued here from several viewpoints that the statistics of ordinary particles with which we are already familiar are likely to be modified due to quantum gravity effects. In particular, such modifications are argued to be present in loop quantum gravity and in any theory which represents space–time in a fundamentally piecewise-linear fashion or, more generally, which has large curvature fluctuations at small scales. The appearance of unusual statistics may be a generic feature (such as the deformed position–momentum uncertainty relations and the appearance of a fundamental length scale) which is to be expected in any theory of quantum gravity, and which could be testable.

Cosmogenesis and the origin of the fundamental length scale

1980 ◽  
Vol 170 (2) ◽  
pp. 228-264 ◽  
Author(s):  
R. Brout ◽  
F. Englert ◽  
J.-M. Frère ◽  
E. Gunzig ◽  
P. Nardone ◽  
...  
Keyword(s):  
Length Scale ◽  
Fundamental Length

scholarly journals Klein–Gordon particle near RN black hole, generalized sl(2) algebra and harmonic oscillator energy

2019 ◽  
Vol 34 (31) ◽  
pp. 1950196
Author(s):  
J. Sadeghi ◽  
M. R. Alipour
Keyword(s):  
Differential Equation ◽  
Information Theory ◽  
Black Hole ◽  
Energy Spectrum ◽  
Harmonic Oscillator ◽  
Three Dimensional ◽  
The Other ◽  
Thermodynamical Properties ◽  
Heun Functions ◽  
Klein Gordon

In this paper, we consider Klein–Gordon particle near Reissner–Nordström black hole. The symmetry of such a background led us to compare the corresponding Laplace equation with the generalized Heun functions. Such relations help us achieve the generalized [Formula: see text] algebra and some suitable results for describing the above-mentioned symmetry. On the other hand, in case of [Formula: see text], which is near the proximity black hole, we obtain the energy spectrum. When we compare the equation of RN background with Laguerre differential equation, we show that the obtained energy spectrum is same as the three-dimensional harmonic oscillator. So, finally we take advantage of harmonic oscillator energy and make suitable partition function. Such function help us to obtain all thermodynamical properties of black hole. Also, the structure of obtained entropy lead us to have some bit and information theory in the RN black hole.

Lateral Nonuniformity And Mesoscale Effects in Giant Area Electronics

2005 ◽  
Vol 870 ◽  
Author(s):  
V. G. Karpov ◽  
Diana Shvydka ◽  
Yann Roussillon
Keyword(s):  
Thin Film ◽  
Light Intensity ◽  
Practical Method ◽  
New Physics ◽  
Length Scale ◽  
Device Performance ◽  
Large Area ◽  
Length Scales ◽  
Fundamental Length ◽  
Thin Film Photovoltaics

AbstractThe recently developed physics of thin-film photovoltaics is suggested to be representative of other giant area electronics. We show that (i) giant-area devices are intrinsically nonuniform in the lateral directions, (ii) the nonuniformity spans length scales from millimeters to meters depending on external drivers such as light intensity and bias, and (iii) it significantly impacts the device performance. We derive a fundamental length scale that discriminates between the cases of small and large-area devices, and beyond which a new physics emerges. In addition, we present a practical method of mitigating the nonuniformity effects.

scholarly journals A semi-classical estimate for the q-parameter and decay time with Tsallis entropy of black holes in quantum geometry

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
K. Mejrhit ◽  
R. Hajji
Keyword(s):  
Black Holes ◽  
Loop Quantum Gravity ◽  
Cosmic Ray ◽  
High Energy ◽  
Quantum Geometry ◽  
De Sitter ◽  
Boltzmann Entropy ◽  
Entropy Formula ◽  
Approximate Relationship ◽  
Classical Estimate

AbstractIn this letter, using the non-extensive entropy of Tsallis, we study some properties of the Schwarzschild black holes (BHs), based on the loop quantum gravity (LQG), some novel characteristics and results of the Schwarzschild BH can be obtained in Mejrhit and Ennadifi (Phys Lett B 794:45–49, 2019). Here we find that these findings are strikingly identical to ones obtained by Hawking and Page in anti-de Sitter space within the original of the Boltzmann entropy formula. By using the semi-classical estimate analysis on the energy at this minimum $$M_{min}$$ M min , an approximate relationship between the q and $$\gamma $$ γ parameters of BHs can be found, ($$q\approx \frac{\sqrt{3}\gamma }{\pi \ln 2}+1$$ q ≈ 3 γ π ln 2 + 1 ), which is remarkable approaching to q-parameters of cosmic ray spectra and quarks coalescing to hadrons in high energy.

scholarly journals Lagrangian Eddy Scales in the Northern Atlantic Ocean

2002 ◽  
Vol 32 (9) ◽  
pp. 2425-2440 ◽  
Author(s):  
Rick Lumpkin ◽  
Anne-Marie Treguier ◽  
Kevin Speer
Keyword(s):  
Atlantic Ocean ◽  
Gulf Stream ◽  
Deep Ocean ◽  
High Energy ◽  
Length Scale ◽  
Length Scales ◽  
Near Surface ◽  
Northern Atlantic ◽  
Eddy Field ◽  
Northern Atlantic Ocean

Abstract Eddy time and length scales are calculated from surface drifter and subsurface float observations in the northern Atlantic Ocean. Outside the energetic Gulf Stream, subsurface timescales are relatively constant at depths from 700 m to 2000 m. Length scale and the characteristic eddy speed decrease with increasing depth below 700 m, but length scale stays relatively constant in the upper several hundred meters of the Gulf Stream. It is suggested that this behavior is due to the Lagrangian sampling of the mesoscale field, in limits set by the Eulerian eddy scales and the eddy kinetic energy. In high-energy regions of the surface and near-surface North Atlantic, the eddy field is in the “frozen field” Lagrangian sampling regime for which the Lagrangian and Eulerian length scales are proportional. However, throughout much of the deep ocean interior, the eddy field may be in the “fixed float” regime for which the Lagrangian and Eulerian timescales are nearly equal. This does not necessarily imply that the deep interior is nearly linear, as fixed-float sampling is possible in a flow field of O(1) nonlinearity.

scholarly journals Methodology for comparing the energy efficiency of methods for regulating the performance of a blower station

2022 ◽  
Vol 1211 (1) ◽  
pp. 012002
Author(s):  
Maksim Vecherkin ◽  
Anvar Sarvarov ◽  
Irina Romanova
Keyword(s):  
Energy Efficiency ◽  
Mathematical Description ◽  
High Energy ◽  
Basic Principles ◽  
Smooth Control ◽  
Guide Vanes ◽  
Electrical Modeling ◽  
Common Line ◽  
Total Productivity ◽  
High Energy Efficiency

Abstract A methodology for comparing the energy efficiency of different methods of regulating the total productivity of a blower station is presented. The basic principles of electrical modeling of duct networks are shown for the mathematical description of their properties and characteristics. The results of a comparison of the energy efficiency of regulating methods for a single fan and a group of five fans operating on a common line are presented. The conclusion about the high energy efficiency of the combination of start-stop control with smooth control using axial guide vanes for a blowing station of five fans is obtained.

Ensuring Integrity of High Energy Piping in the NPP’s of the Czech Republic

2009 ◽  
Author(s):  
Jiri Zdarek ◽  
Jan Dotrel ◽  
Vaclav Jarolimek
Keyword(s):  
Czech Republic ◽  
High Energy ◽  
Basic Principles ◽  
The Czech Republic ◽  
Piping Systems ◽  
Defense In Depth

An approach of ensuring the quality of piping of NPP’s on the Czech Republic is described, with focus on high energy piping systems. Basic principles of this approach are described that are aimed to ensure the safety goals while maintaining the effectiveness of NPP operation during its long-term life. This approach ensures defense in depth of the piping. Its application on the high energy piping on +28.8 m level of WWER 1000 type NPP is demonstrated.

scholarly journals A QUANTUM-GRAVITY PERSPECTIVE ON SEMICLASSICAL vs. STRONG-QUANTUM DUALITY

2006 ◽  
Vol 03 (07) ◽  
pp. 1293-1302
Author(s):  
JOSÉ M. ISIDRO
Keyword(s):  
Quantum Gravity ◽  
Degrees Of Freedom ◽  
The Other ◽  
Length Scale ◽  
Specific Nature ◽  
Action Integral ◽  
Fundamental Length ◽  
Starting Point ◽  
Duality Groups ◽  
Quantum Duality

It has been argued that, underlying the M-theoretic dualities, there should exist a symmetry relating the semiclassical and the strong-quantum regimes of a given action integral. On the other hand, a field-theoretic exchange between long and short distances (similar in nature to the T-duality of strings) has been shown to provide a starting point for quantum gravity, in that this exchange enforces the existence of a fundamental length scale on spacetime. In this paper, we prove that the above semiclassical vs. strong-quantum symmetry is equivalent to the exchange of long and short distances. Hence the former symmetry, as much as the latter, also enforces the existence of a length scale. We apply these facts in order to classify all possible duality groups of a given action integral on spacetime, regardless of its specific nature and of its degrees of freedom.

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