Introduction to Quantum-Gravity Phenomenology

Amelino‐Camelia, Giovanni

doi:10.1007/11377306_3

Cited by 45 publications

(59 citation statements)

References 89 publications

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“…The global or bulk extent of the position probability density of the D-dimensional hydrogenic atoms is best measured by the Shannon entropy S given by (1). From Eqs.…”

Section: The Shannon Entropy In Position Spacementioning

confidence: 99%

“…Their deeper knowledge is basic not only to gain full insight into the intimate structure of matter but also for numerous phenomena of quantum cosmology [1], nanotechnology [2,3] (e.g., for low-dimensional semiconductor nanostructures such as quantum wells, wires, and dots), quantum computation [4,5] (e.g., one-and two-dimensional hydrogenic atoms have been proposed as qubits), D-dimensional physics [6 -12], and quantum field theory [11,[13][14][15]. The existence of hydrogenic systems with dimensionality other than 3 has been observed for D Ͻ 3 [2] and suggested for D Ͼ 3 [7].…”

Section: Introductionmentioning

confidence: 99%

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Information theory of D-dimensional hydrogenic systems: Application to circular and Rydberg states

Dehesa

López-Rosa

Martínez–Finkelshtein

et al. 2009

Int. J. Quantum Chem.

151

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ABSTRACT:The analytic information theory of quantum systems includes the exact determination of their spatial extension or multidimensional spreading in both position and momentum spaces by means of the familiar variance and its generalization, the power and logarithmic moments, and, more appropriately, the Shannon entropy and the Fisher information. These complementary uncertainty measures have a global or local character, respectively, because they are power-like (variance, moments), logarithmic (Shannon) and gradient (Fisher) functionals of the corresponding probability distribution. Here we explicitly discuss all these spreading measures (and their associated uncertainty relations) in both position and momentum for the main prototype in D-dimensional physics, the hydrogenic system, directly in terms of the dimensionality and the hyperquantum numbers which characterize the involved states. Then, we analyze in detail such measures for s-states, circular states (i.e., single-electron states of highest angular momenta allowed within an electronic manifold characterized by a given principal hyperquantum number), and Rydberg states (i.e., states with large radial hyperquantum numbers n).

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“…The global or bulk extent of the position probability density of the D-dimensional hydrogenic atoms is best measured by the Shannon entropy S given by (1). From Eqs.…”

Section: The Shannon Entropy In Position Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Information theory of D-dimensional hydrogenic systems: Application to circular and Rydberg states

Dehesa

López-Rosa

Martínez–Finkelshtein

et al. 2009

Int. J. Quantum Chem.

151

View full text Add to dashboard Cite

show abstract

“…The only natural UV cutoff frequency seems to be the Planck frequency but if this value is used the resulting finite vacuum energy density would provide a 'cosmological constant' 10 120 times above the observational limit, measured to be a fraction of the critical density of the Universe. This is the well known cosmological constant problem [31,38,39]. A UV cutoff imposed on the Planckian spectrum will lead to Lorentz invariance.…”

Section: Quantum Vacuum Atom Wave Decoherencementioning

confidence: 99%

GAUGE: the GrAnd Unification and Gravity Explorer

Amelino‐Camelia¹,

Aplin²,

Arndt³

et al. 2008

Exp Astron

Self Cite

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The GAUGE (GrAnd Unification and Gravity Explorer) mission proposes to use a drag-free spacecraft platform onto which a number of experiments are attached. They are designed to address a number of key issues at the interface between gravity and unification with the other forces of nature. The equivalence principle is to be probed with both a high-precision test using classical macroscopic test bodies, and, to lower precision, using microscopic test bodies via cold-atom interferometry. These two equivalence principle tests will explore string-dilaton theories and the effect of spacetime fluctuations respectively. The macroscopic test bodies will also be used for intermediate-range inverse-square law and an axion-like spin-coupling search. The microscopic test bodies offer the prospect of extending the range of tests to also include short-range inverse-square law and spin-coupling measurements as well as looking for evidence of quantum decoherence due to space-time fluctuations at the Planck scale.

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“…In such a scenario, over the last twenty five years or so, a variety of approaches have been constructed by hand to investigate possible imprints of Planck scale effects on phenomena involving matter fields (see, for instance, the reviews [1][2][3][4]). These methods evidently involve a new scale (often assumed to be of the order of the Planck scale) and they strive to capture one or more features that are expected to arise in the complete quantum theory of gravity.…”

Section: Introductionmentioning

confidence: 99%

Response of a rotating detector coupled to a polymer quantized field

2017

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Assuming that high energy effects may alter the standard dispersion relations governing quantized fields, the influence of such modifications on various phenomena has been studied extensively in the literature. In different contexts, it has generally been found that, while super-luminal dispersion relations hardly affect the standard results, sub-luminal relations can lead to (even substantial) modifications to the conventional results. A polymer quantized scalar field is characterized by a series of modified dispersion relations along with suitable changes to the standard measure of the density of modes. Amongst the modified dispersion relations, one finds that the lowest in the series can behave sub-luminally over a small domain in wavenumbers. In this work, we study the response of a uniformly rotating Unruh-DeWitt detector that is coupled to a polymer quantized scalar field. While certain sub-luminal dispersion relations can alter the response of the rotating detector considerably, in the case of polymer quantization, due to the specific nature of the dispersion relations, the modification to the transition probability rate of the detector does not prove to be substantial. We discuss the wider implications of the result.

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Introduction to Quantum-Gravity Phenomenology

Cited by 45 publications

References 89 publications

Information theory of D-dimensional hydrogenic systems: Application to circular and Rydberg states

Information theory of D-dimensional hydrogenic systems: Application to circular and Rydberg states

GAUGE: the GrAnd Unification and Gravity Explorer

Response of a rotating detector coupled to a polymer quantized field

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