Non-commutative quantum gravity phenomenology in underground experiments

2019 ◽  
Vol 34 (29) ◽  
pp. 1950236 ◽  
Author(s):  
Andrea Addazi ◽  
Rita Bernabei
Keyword(s):  
Laboratory Experiments ◽  
Planck Scale ◽  
Pauli Exclusion Principle ◽  
Energy Scale ◽  
Exclusion Principle ◽  
Atomic Systems ◽  
Quantum Gravity Phenomenology ◽  
Nuclear Transitions ◽  
Moyal Plane ◽  
Very High

We show how non-commutative spacetime models can induce Pauli Exclusion Principle (PEP) forbidden nuclear and atomic transitions. We focalize our analysis on one of the most popular instantiations of non-commutativeness: [Formula: see text]-Poincaré model, based on the Groenewold–Moyal plane algebra. We show that PEP violating transitions induced by [Formula: see text]-Poincaré have an energy scale and angular emission dependence. PEP 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). We derive that the Equivalence Principle assumed [Formula: see text]-Poincaré model can be already ruled-out until the Planck scale, from nuclear transitions tests by DAMA/LIBRA experiment.

scholarly journals Tests of Pauli exclusion principle violations from noncommutative quantum gravity

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.

scholarly journals Phenomenology of the Pauli exclusion principle violations due to the non-perturbative generalized uncertainty principle

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Andrea Addazi ◽  
Pierluigi Belli ◽  
Rita Bernabei ◽  
Antonino Marcianò ◽  
Homa Shababi
Keyword(s):  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Pauli Exclusion Principle ◽  
Momentum Conservation ◽  
Exclusion Principle ◽  
Precision Data ◽  
Heisenberg Uncertainty Principle ◽  
Heisenberg Uncertainty ◽  
Energy Dependent

Abstract New phenomenological implications of the Generalized Uncertainty Principle (GUP), a modification of the Heisenberg Uncertainty Principle (HUP) are explored in light of constraints arising from underground experiments. An intimate link intertwines the symplectic structure of a theory, which is at the very base of the formulation of the HUP and thus a pillar of quantum mechanics, with the symmetries of space-time and the spin-statistics. Within this wide framework, a large class of non-perturbative GUPs inevitably lead to energy-dependent violations of the total angular momentum conservation rules, and imply hence tiny Pauli Exclusion Principle (PEP) violating transitions. Exotic PEP violating nuclear transitions can be tested, for example, through extremely high precision data provided by the DAMA/LIBRA experiment. We show that several GUP violations are already ruled out up to the quantum gravity Planck scale.

scholarly journals « Principe 7 » De La Pédagogie, Effet Zeeman-Effet Prérequis, Architecture Pyramidale Du Système Lmd: Mise En Œuvre D’une Pédagogie Discriminatoire Pour Un Enseignement De Qualité

2018 ◽  
Vol 14 (24) ◽  
pp. 159
Author(s):  
Ibrahima Sakho
Keyword(s):  
Principal Quantum Number ◽  
Zeeman Effect ◽  
Pauli Exclusion Principle ◽  
Middle Level ◽  
Exclusion Principle ◽  
Atomic Systems ◽  
University Systems ◽  
Hours Of Work ◽  
Teaching Learning ◽  
Number Of Classes

In this work, we demonstrate by analogy with the quantified levels of atomic systems, that the levels of education from elementary to Superior are "quantified". The transition of a learner from one level of instruction to another is analogous to an electronic transition between atomic levels. The notions of ground state, excited states and ionized state of atomic systems have their equivalents in the school and university systems. It is demonstrated in this work that the number 7 is revealed in all countable elements of an educational system. This leads to the statement of the "principle 7 " of pedagogy. Thus, there are 7 levels of instruction or teaching-learning in the elementary, 7 levels at the middle-level and 7 levels of teaching-learning at the higher level. In addition, there are 7 degrees, 7 hours of work of the learner in the school space. The application of "Principle 7 of pedagogy" to the determination of the number of classes per cycle and the number of students per classroom is discussed. Moreover, it is shown in this work, that the Pauli Exclusion Principle allows to account for the correct occupation of the tablesbenches by the learners and that and the indiscernibility principle of the particles accounts for the necessity of the wearing school clothes. By analogy with the Zeeman Effect, it is shown that all levels of teaching-learning are degenerate. The lifting of degeneration by "Prerequisite Effect" highlights the need to put into practice a discriminatory pedagogy for quality education at the elementary level as well as at the higher level. Finally, it is demonstrated by analogy with the tightening of the atomic levels with the increase of the principal quantum number, that the architecture of the LDM must have the appearance of a pyramid, the base being constituted by the level License and the summit by the PhD level. Moreover, the increase in the number of 180/120/180 credits does not follow the pyramidal architecture of the LMD and that it should mathematically decrease according to the ratio L / M = M / D = 3/2; which corresponds to the 180/120/80 pyramidal progression. If a credit corresponds to 20 hours of work in L and M, it should correspond to 45 hours of work in D.

Strings at superplanckian energies: in search of the string symmetry

1989 ◽  
Vol 329 (1605) ◽  
pp. 401-413 ◽  
Keyword(s):  
Planck Scale ◽  
Space Time ◽  
Energy Scale ◽  
Superstring Theory ◽  
Characteristic Energy ◽  
High Energies ◽  
Planck Energy ◽  
Very High ◽  
Shed Light

The characteristic energy scale of superstring theory, which attempts to unify all the interactions of matter with gravity, is the Planck energy of 10 28 eV. Although this energy is 16 orders of magnitude higher than currently accessible energies, it is important to consider the nature of string physics in this region since it could shed light on the non-perturbative physics at the Planck scale, which determines the structure of the vacuum. In this paper I review some recent attempts to explore this domain. In particular, I discuss string scattering at very high energies, the indications of the existence of a large symmetry that is restored at short distances and the possible breakdown of our concepts of space-time at these energies.

Hardness and HOMO-LUMO Gap Probed by the Helium Atom Pushing the Molecular Surface of the First-Row Hydride Molecules

2003 ◽  
Vol 68 (12) ◽  
pp. 2344-2354 ◽  
Author(s):  
Edyta Małolepsza ◽  
Lucjan Piela
Keyword(s):  
Helium Atom ◽  
Pauli Exclusion Principle ◽  
Structure Change ◽  
Molecular Surface ◽  
Exclusion Principle ◽  
Probe Position ◽  
Repulsion Energy ◽  
Ionic Dissociation ◽  
Probe Site ◽  
Homo Lumo

A molecular surface defined as an isosurface of the valence repulsion energy may be hard or soft with respect to probe penetration. As a probe, the helium atom has been chosen. In addition, the Pauli exclusion principle makes the electronic structure change when the probe pushes the molecule (at a fixed positions of its nuclei). This results in a HOMO-LUMO gap dependence on the probe site on the isosurface. A smaller gap at a given probe position reflects a larger reactivity of the site with respect to the ionic dissociation.

Identical Particles and Second Quantization: Occupation Number Representation

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Occupation Number ◽  
Annihilation Operator ◽  
Pauli Exclusion Principle ◽  
Exclusion Principle ◽  
Number Representation ◽  
Second Quantization ◽  
Identical Particles ◽  
Fundamental Properties ◽  
Minimum Uncertainty ◽  
Creation Operators

Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized into “creation” and “annihilation” operators, whose fundamental properties and commutation/anticommutation relations are derived in conjunction with the Pauli exclusion principle. This leads to “second quantization” with the Hamiltonian, number, linear and angular momentum operators expressed in terms of the annihilation and creation operators, as well as the occupation number representation. Finally, the concept of coherent states, as eigenstates of the annihilation operator, having minimum uncertainty, is introduced and discussed in detail.

scholarly journals Renormalization group equations of Higgs-R2 inflation

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Yohei Ema ◽  
Kyohei Mukaida ◽  
Jorinde van de Vis
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Planck Scale ◽  
Energy Scale ◽  
Einstein Frame ◽  
Ricci Scalar ◽  
Minimal Coupling ◽  
Renormalization Group Equations ◽  
The Standard Model

Abstract We derive one- and two-loop renormalization group equations (RGEs) of Higgs-R2 inflation. This model has a non-minimal coupling between the Higgs and the Ricci scalar and a Ricci scalar squared term on top of the standard model. The RGEs derived in this paper are valid as long as the energy scale of interest (in the Einstein frame) is below the Planck scale. We also discuss implications to the inflationary predictions and the electroweak vacuum metastability.

scholarly journals Testing the Pauli Exclusion Principle for Electrons at LNGS

2015 ◽  
Vol 61 ◽  
pp. 552-559 ◽  
Author(s):  
H. Shi ◽  
S. Bartalucci ◽  
S. Bertolucci ◽  
C. Berucci ◽  
A.M. Bragadireanu ◽  
...  
Keyword(s):  
Pauli Exclusion Principle ◽  
Exclusion Principle
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