A modern guide to 𝜃-Poincaré

Motivated by the recent interest in underground experiments phenomenology (see Refs. 1–3), we review the main aspects of one specific noncommutative space–time model, based on the Groenewold–Moyal plane algebra, the [Formula: see text]-Poincaré space–time. In the [Formula: see text]-Poincaré scenario, the Lorentz co-algebra is deformed introducing a noncommutativity of space–time coordinates. In such a theory, a new quantum field theory in noncommutative space–time can be reformulated. Tackling on several conceptual misunderstanding and technical mistakes in the literature, we will focus on several issues such: (i) the construction of fields theories in [Formula: see text]-Poincaré; (ii) the unitarity of the S-matrix; (iii) the violation of locality, (iv) the violation of the spin-statistic theorem and the Pauli principle; (v) the observables for underground experiments.

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Tests of Pauli exclusion principle violations from noncommutative quantum gravity

International Journal of Modern Physics A ◽

10.1142/s0217751x20420014 ◽

2020 ◽

Vol 35 (32) ◽

pp. 2042001

Author(s):

Andrea Addazi ◽

Rita Bernabei

Keyword(s):

Planck Scale ◽

Pauli Exclusion Principle ◽

Space Time ◽

Exclusion Principle ◽

Noncommutative Space ◽

Atomic Systems ◽

Nuclear Transitions ◽

Moyal Plane ◽

Spin Statistic ◽

Very High

We review the main recent progresses in noncommutative space–time phenomenology in underground experiments. A popular model of noncommutative space–time is [Formula: see text]-Poincaré model, based on the Groenewold–Moyal plane algebra. This model predicts a violation of the spin-statistic theorem, in turn implying an energy and angular dependent violation of the Pauli exclusion principle. Pauli exclusion principle violating transitions in nuclear and atomic systems can be tested with very high accuracy in underground laboratory experiments such as DAMA/LIBRA and VIP(2). In this paper we derive that the [Formula: see text]-Poincaré model can be already ruled-out until the Planck scale, from nuclear transitions tests by DAMA/LIBRA experiment.

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Tail asymptotics of an infinitely divisible space-time model with convolution equivalent Lévy measure

Journal of Applied Probability ◽

10.1017/jpr.2020.73 ◽

2021 ◽

Vol 58 (1) ◽

pp. 42-67 ◽

Cited By ~ 1

Author(s):

Mads Stehr ◽

Anders Rønn-Nielsen

Keyword(s):

Space Time ◽

Time Interval ◽

Lévy Measure ◽

Infinitely Divisible ◽

Time Model ◽

Spatial Object ◽

Tail Behaviour ◽

Fixed Radius ◽

The Right ◽

Space Time Model

AbstractWe consider a space-time random field on ${{\mathbb{R}^d} \times {\mathbb{R}}}$ given as an integral of a kernel function with respect to a Lévy basis with a convolution equivalent Lévy measure. The field obeys causality in time and is thereby not continuous along the time axis. For a large class of such random fields we study the tail behaviour of certain functionals of the field. It turns out that the tail is asymptotically equivalent to the right tail of the underlying Lévy measure. Particular examples are the asymptotic probability that there is a time point and a rotation of a spatial object with fixed radius, in which the field exceeds the level x, and that there is a time interval and a rotation of a spatial object with fixed radius, in which the average of the field exceeds the level x.

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A Deterministic Sea-Clutter Space–Time Model Based on Physical Sea Surface

IEEE Transactions on Geoscience and Remote Sensing ◽

10.1109/tgrs.2016.2587739 ◽

2016 ◽

Vol 54 (11) ◽

pp. 6659-6673 ◽

Cited By ~ 7

Author(s):

Zhihui Xin ◽

Guisheng Liao ◽

Zhiwei Yang ◽

Yuhong Zhang ◽

Hongxing Dang

Keyword(s):

Space Time ◽

Sea Surface ◽

Sea Clutter ◽

Time Model ◽

Model Based ◽

Space Time Model

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Hybrid Space-Time Model and Machine Learning for Forecasting Multivariate Spatio-Temporal Data

10.1109/icoict52021.2021.9527530 ◽

2021 ◽

Author(s):

Hendri Prabowo ◽

Dedy Dwi Prastyo ◽

Setiawan

Keyword(s):

Machine Learning ◽

Space Time ◽

Temporal Data ◽

Time Model ◽

Hybrid Space ◽

Spatio Temporal ◽

Space Time Model

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Beyond Gödel’s Time

Inference: International Review of Science ◽

10.37282/991819.18.33 ◽

2018 ◽

Vol 4 (1) ◽

Author(s):

Peter Riggs

Keyword(s):

Theoretical Model ◽

Space Time ◽

Time Model ◽

Space Time Model

The Gödel space-time model displays an intrinsic rotation of matter, which is responsible for some fascinating characteristics. It is a theoretical model of a possible, though not the actual, universe.

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Theory of the Stationary Self-Consistent Universe

10.32986/978-5-94472-045-0-2021-3-92 ◽

2021 ◽

Author(s):

Alexander Shamailovich Avshalumov

Keyword(s):

Quantum Physics ◽

Space Time ◽

Theoretical Physics ◽

Time Model ◽

Zero Curvature ◽

Modern Cosmology ◽

Simultaneous Existence ◽

Three Space ◽

Space Time Model ◽

The Universe

Since the creation of GR and subsequent works in cosmology, the question of the curvature of space in the Universe is considered one of the most important and debated to this day. This is evident, because the curvature of space depends whether the Universe expands, contracts or is static. These discussions allowed the author to propose a paradoxical idea: simultaneous existence in the Universe of three interconnected space-times (positive, negative and zero curvature) and on this basis, to develop a theory in which each space-time plays its own role and develops in a strict accordance with its sign of curvature. The three space-time model of the structure of the Universe, proposed by the author, allows to solve many fundamental problems of modern cosmology and theoretical physics and creates the basis for building a unified physical theory (including one that unites GR and quantum physics).

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A Space-Time Model with Application to Annual Temperature Anomalies;

Communications for Statistical Applications and Methods ◽

10.5351/ckss.2003.10.1.019 ◽

2003 ◽

Vol 10 (1) ◽

pp. 19-30

Author(s):

Eui-Kyoo Lee ◽

Myung-Sang Moon ◽

Richard F. Gunst

Keyword(s):

Space Time ◽

Time Model ◽

Temperature Anomalies ◽

Space Time Model

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INFLATIONARY SCENARIO IN BRANS–DICKE THEORY FOR BIANCHI VI0 SPACE–TIME MODEL

International Journal of Modern Physics D ◽

10.1142/s0218271803002421 ◽

2003 ◽

Vol 12 (01) ◽

pp. 129-143 ◽

Cited By ~ 1

Author(s):

SUBENOY CHAKRABORTY ◽

ARABINDA GHOSH

Keyword(s):

Equation Of State ◽

Perfect Fluid ◽

Analytical Solutions ◽

Fluid Model ◽

Space Time ◽

Time Model ◽

Exact Analytical Solutions ◽

Exponential Expansion ◽

Barotropic Equation ◽

Space Time Model

We have investigated perfect fluid model in Brans–Dicke theory for Bianchi VI 0 space–time and have obtained exact analytical solutions considering barotropic equation of state. These solutions have been analyzed for different values of the parameters involved and some of them have shown a period of exponential expansion.

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