The Deformation Philosophy, Quantization and Noncommutative Space-Time Structures

2010 ◽  
pp. 39-56 ◽  
Author(s):  
Daniel Sternheimer
Keyword(s):  
Space Time ◽  
Noncommutative Space ◽  
Time Structures

scholarly journals BLACK HOLE EVAPORATION BASED UPON A q-DEFORMATION DESCRIPTION

2005 ◽  
Vol 20 (26) ◽  
pp. 6039-6049 ◽  
Author(s):  
XIN ZHANG
Keyword(s):  
Black Hole ◽  
Degrees Of Freedom ◽  
Radiation Spectrum ◽  
Correlation Effect ◽  
Space Time ◽  
Noncommutative Space ◽  
Schwarzschild Black Hole ◽  
Black Hole Evaporation ◽  
Starting Point ◽  
New Distribution

A toy model based upon the q-deformation description for studying the radiation spectrum of black hole is proposed. The starting point is to make an attempt to consider the space–time noncommutativity in the vicinity of black hole horizon. We use a trick that all the space–time noncommutative effects are ascribed to the modification of the behavior of the radiation field of black hole and a kind of q-deformed degrees of freedom are postulated to mimic the radiation particles that live on the noncommutative space–time, meanwhile the background metric is preserved as usual. We calculate the radiation spectrum of Schwarzschild black hole in this framework. The new distribution deviates from the standard thermal spectrum evidently. The result indicates that some correlation effect will be introduced to the system if the noncommutativity is taken into account. In addition, an infrared cutoff of the spectrum is the prediction of the model.

scholarly journals Ordered space-time structures: Quantum carpets from Gaussian sum theory

2019 ◽  
Vol 62 (7) ◽  
Author(s):  
HuiXin Xiong ◽  
XueKe Song ◽  
HuaiYang Yuan ◽  
DaPeng Yu ◽  
ManHong Yung
Keyword(s):  
Space Time ◽  
Gaussian Sum ◽  
Ordered Space ◽  
Time Structures

scholarly journals Proton decay and the quantum structure of space–time

2019 ◽  
Vol 97 (12) ◽  
pp. 1317-1322
Author(s):  
Abeer Al-Modlej ◽  
Salwa Alsaleh ◽  
Hassan Alshal ◽  
Ahmed Farag Ali
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Coherent State ◽  
Dimensional Space ◽  
Space Time ◽  
Noncommutative Space ◽  
Quantum Structure ◽  
Dimensional Space Time ◽  
Proton Lifetime ◽  
Virtual Black Holes

Virtual black holes in noncommutative space–time are investigated using coordinate coherent state formalism such that the event horizon of a black hole is manipulated by smearing it with a Gaussian of width [Formula: see text], where θ is the noncommutativity parameter. Proton lifetime, the main associated phenomenology of the noncommutative virtual black holes, has been studied, first in four-dimensional space–time and then generalized to D dimensions. The lifetime depends on θ and the number of space–time dimensions such that it emphasizes on the measurement of proton lifetime as a potential probe for the microstructure of space–time.

scholarly journals The shape dynamics description of gravity

2015 ◽  
Vol 93 (9) ◽  
pp. 956-962 ◽  
Author(s):  
Tim Koslowski
Keyword(s):  
Minkowski Space ◽  
Space Time ◽  
Point Of View ◽  
Small Scale ◽  
Shape Dynamics ◽  
Quantum Particles ◽  
Minkowski Space Time ◽  
Time Structures ◽  
Geometric Picture

Classical gravity can be described as a relational dynamical system without ever appealing to space–time or its geometry. This description is the so-called shape dynamics description of gravity. The existence of relational first principles from which the shape dynamics description of gravity can be derived is a motivation to consider shape dynamics (rather than general relativity) as the fundamental description of gravity. Adopting this point of view leads to the question: What is the role of space–time in the shape dynamics description of gravity? This question contains many aspects: Compatibility of shape dynamics with the description of gravity in terms of space–time geometry, the role of local Minkowski space, universality of space–time geometry and the nature of quantum particles, which can no longer be assumed to be irreducible representations of the Poincaré group. In this contribution I derive effective space–time structures by considering how matter fluctuations evolve along with shape dynamics. This evolution reveals an “experienced space–time geometry.” This leads (in an idealized approximation) to local Minkowski space and causal relations. The small-scale structure of the emergent geometric picture depends on the specific probes used to experience space–time, which limits the applicability of effective space–time to describe shape dynamics. I conclude with discussing the nature of quantum fluctuations (particles) in shape dynamics and how local Minkowski space–time emerges from the evolution of quantum particles.

scholarly journals LOCALLY NONCOMMUTATIVE SPACE-TIMES

2007 ◽  
Vol 19 (03) ◽  
pp. 273-305 ◽  
Author(s):  
DOROTHEA BAHNS ◽  
STEFAN WALDMANN
Keyword(s):  
Space Time ◽  
Noncommutative Space ◽  
Star Products ◽  
Classical Geometry

Localized noncommutative structures for manifolds with connection are constructed based on the use of vertical star products. The model's main feature is that two points that are far away from each other will not be subjected to a deviation from classical geometry while space-time becomes noncommutative for pairs of points that are close to one another.

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