scholarly journals Note on a new fundamental length scale l instead of the Newtonian constant G

2011 ◽  
Vol 54 (10) ◽  
pp. 1771-1774 ◽  
Author(s):  
LiJing Shao ◽  
BoQiang Ma
1980 ◽  
Vol 170 (2) ◽  
pp. 228-264 ◽  
Author(s):  
R. Brout ◽  
F. Englert ◽  
J.-M. Frère ◽  
E. Gunzig ◽  
P. Nardone ◽  
...  

2005 ◽  
Vol 870 ◽  
Author(s):  
V. G. Karpov ◽  
Diana Shvydka ◽  
Yann Roussillon

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.


2006 ◽  
Vol 03 (07) ◽  
pp. 1293-1302
Author(s):  
JOSÉ M. ISIDRO

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.


2001 ◽  
Vol 10 (03) ◽  
pp. 351-365 ◽  
Author(s):  
S. SHANKARANARAYANAN ◽  
T. PADMANABHAN

We use the modified propagator for quantum field based on a "principle of path integral duality" proposed earlier in a paper by Padmanabhan to investigate several results in QED. This procedure modifies the Feynman propagator by the introduction of a fundamental length scale. We use this modified propagator for the Dirac particles to evaluate the first order radiative corrections in QED. We find that the extra factor of the modified propagator acts like a regulator at the Planck scales thereby removing the divergences that otherwise appear in the conventional radiative correction calculations of QED. We find that: (i) all the three renormalization factors Z1, Z2, and Z3 pick up finite corrections and (ii) the modified propagator breaks the gauge invariance at a very small level of [Formula: see text]. The implications of this result to generation of the primordial seed magnetic fields are discussed.


2013 ◽  
Vol 111 (18) ◽  
Author(s):  
S. Barkhofen ◽  
J. J. Metzger ◽  
R. Fleischmann ◽  
U. Kuhl ◽  
H.-J. Stöckmann

2010 ◽  
Vol 105 (21) ◽  
Author(s):  
M. J. Neves ◽  
C. Farina ◽  
M. V. Cougo-Pinto

2019 ◽  
Vol 206 ◽  
pp. 09016
Author(s):  
Chen Jia Pern Neville ◽  
Ching Chee Leong

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.


2008 ◽  
Vol 17 (13n14) ◽  
pp. 2475-2484
Author(s):  
JOHN SWAIN

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.


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