Relevant bibliographies by topics / Lorentz Violations

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Academic literature on the topic 'Lorentz Violations'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Lorentz Violations"

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Jentschura, Ulrich D. "Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels." Particles 3, no. 3 (August 26, 2020): 630–41. http://dx.doi.org/10.3390/particles3030041.

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The hypothesis of Lorentz violation in the neutrino sector has intrigued scientists for the last two to three decades. A number of theoretical arguments support the emergence of such violations, first and foremost for neutrinos, which constitute the “most elusive” and “least interacting” particles known to mankind. It is of obvious interest to place stringent bounds on the Lorentz-violating parameters in the neutrino sector. In the past, the most stringent bounds have been placed by calculating the probability of neutrino decay into a lepton pair, a process made kinematically feasible by Lorentz violation in the neutrino sector, above a certain threshold. However, even more stringent bounds can be placed on the Lorentz-violating parameters if one takes into account, additionally, the possibility of neutrino splitting, i.e., of neutrino decay into a neutrino of lower energy, accompanied by “neutrino-pair Čerenkov radiation.” This process has a negligible threshold and can be used to improve the bounds on Lorentz-violating parameters in the neutrino sector. Finally, we take the opportunity to discuss the relation of Lorentz and gauge symmetry breaking, with a special emphasis on the theoretical models employed in our calculations.
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Hashimoto, Koji. "Lorentz violation and vacuum structure in string theories." International Journal of Modern Physics: Conference Series 30 (January 2014): 1460274. http://dx.doi.org/10.1142/s2010194514602749.

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We briefly describe what is expected in superstring theory for the Lorentz violation and related CPT violation, for non-experts. Superstring theory is an advanced theory for quantum gravity, but we are still not at a stage of evaluating possible Lorentz violations, although there are proposals for compactification mechanisms of space-time.
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Bailey, Quentin G. "Lorentz violation and gravity." Proceedings of the International Astronomical Union 5, S261 (April 2009): 409–13. http://dx.doi.org/10.1017/s1743921309990706.

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AbstractIn the last decade, a variety of high-precision experiments have searched for miniscule violations of Lorentz symmetry. These searches are largely motivated by the possibility of uncovering experimental signatures from a fundamental unified theory. Experimental results are reported in the framework called the Standard-Model Extension (SME), which describes general Lorentz violation for each particle species in terms of its coefficients for Lorentz violation. Recently, the role of gravitational experiments in probing the SME has been explored in the literature. In this talk, I will summarize theoretical and experimental aspects of these works. I will also discuss recent lunar laser ranging and atom interferometer experiments, which place stringent constraints on gravity coefficients for Lorentz violation.
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Mewes, Matthew. "Non-Minimal Lorentz Violation in Macroscopic Matter." Symmetry 12, no. 12 (December 7, 2020): 2026. http://dx.doi.org/10.3390/sym12122026.

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The effects of Lorentz and CPT violations on macroscopic objects are explored. Effective composite coefficients for Lorentz violation are derived in terms of coefficients for electrons, protons, and neutrons in the Standard-Model Extension, including all minimal and non-minimal violations. The hamiltonian and modified Newton’s second law for a test body are derived. The framework is applied to free-fall and torsion-balance tests of the weak equivalence principle and to orbital motion. The effects on continuous media are studied, and the frequency shifts in acoustic resonators are calculated.
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Moura, Celio A., and Fernando Rossi-Torres. "Searches for Violation of CPT Symmetry and Lorentz Invariance with Astrophysical Neutrinos." Universe 8, no. 1 (January 11, 2022): 42. http://dx.doi.org/10.3390/universe8010042.

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Neutrinos are a powerful tool for searching physics beyond the standard model of elementary particles. In this review, we present the status of the research on charge-parity-time (CPT) symmetry and Lorentz invariance violations using neutrinos emitted from the collapse of stars such as supernovae and other astrophysical environments, such as gamma-ray bursts. Particularly, supernova neutrino fluxes may provide precious information because all neutrino and antineutrino flavors are emitted during a burst of tens of seconds. Models of quantum gravity may allow the violation of Lorentz invariance and possibly of CPT symmetry. Violation of Lorentz invariance may cause a modification of the dispersion relation and, therefore, in the neutrino group velocity as well in the neutrino wave packet. These changes can affect the arrival time signal registered in astrophysical neutrino detectors. Direction or time-dependent oscillation probabilities and anisotropy of the neutrino velocity are manifestations of the same kind of new physics. CPT violation, on the other hand, may be responsible for different oscillation patterns for neutrino and antineutrino and unconventional energy dependency of the oscillation phase or of the mixing angles. Future perspectives for possible CPT and Lorentz violating systems are also presented.
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Halprin, Arthur, and Hang Bae Kim. "Mapping Lorentz invariance violations into equivalence principle violations." Physics Letters B 469, no. 1-4 (December 1999): 78–80. http://dx.doi.org/10.1016/s0370-2693(99)01258-7.

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Voss, D. "PHYSICS: Looking for Lorentz Violations." Science 315, no. 5812 (February 2, 2007): 574d—575d. http://dx.doi.org/10.1126/science.315.5812.574d.

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Santos, A. F., and Faqir C. Khanna. "Lorentz violation, gravitoelectromagnetic field and Bhabha scattering." International Journal of Modern Physics A 33, no. 02 (January 20, 2018): 1850015. http://dx.doi.org/10.1142/s0217751x1850015x.

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Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in General Relativity (GR). This symmetry holds true for all models at low energies. However, at energies near the Planck scale, it is conjectured that there may be a very small violation of Lorentz symmetry. The Standard Model Extension (SME) is a quantum field theory that includes a systematic description of Lorentz symmetry violations in all sectors of particle physics and gravity. In this paper, SME is considered to study the physical process of Bhabha Scattering in the Gravitoelectromagnetism (GEM) theory. GEM is an important formalism that is valid in a suitable approximation of general relativity. A new nonminimal coupling term that violates Lorentz symmetry is used in this paper. Differential cross-section for gravitational Bhabha scattering is calculated. The Lorentz violation contributions to this GEM scattering cross-section are small and are similar in magnitude to the case of the electromagnetic field.
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Cortés, J. L., and Justo López-Sarrión. "Fine-tuning problems in quantum field theory and Lorentz invariance: A scalar-fermion model with a physical momentum cutoff." International Journal of Modern Physics A 32, no. 15 (May 23, 2017): 1750084. http://dx.doi.org/10.1142/s0217751x17500841.

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In this paper, we study the consistency of having Lorentz invariance as a low energy approximation within the quantum field theory framework. A model with a scalar and a fermion field is used to show how a Lorentz invariance violating high momentum scale, a physical cutoff rendering the quantum field theory finite, can be made compatible with a suppression of Lorentz invariance violations at low momenta. The fine tuning required to get this suppression and to have a light scalar particle in the spectrum are determined at one loop.
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MACCIONE, LUCA, ANDREA M. TAYLOR, DAVID M. MATTINGLY, and STEFANO LIBERATI. "ULTRA-HIGH-ENERGY COSMIC RAYS AND PLANCK-SUPPRESSED LORENTZ INVARIANCE VIOLATION." International Journal of Modern Physics D 18, no. 10 (October 2009): 1621–25. http://dx.doi.org/10.1142/s0218271809015527.

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We investigate the consequences of higher dimension Lorentz violating, CPT even kinetic operators that couple standard model fields to a non-zero vector field in an Effective Field Theory framework. Comparing the ultra-high energy cosmic ray spectrum reconstructed in the presence of such terms with data from the Pierre Auger Observatory allows us to establish stringent bounds on O(E/M Pl )2 suppressed violations of Lorentz invariance.
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Dissertations / Theses on the topic "Lorentz Violations"

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Valcárcel, Luis 1979. "Gravitational Lorentz violations in 5D black hole background : a numerical investigation." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80891.

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The warped braneworld picture introduced by Randall and Sundrum provides new ways of solving long-standing problems in physics, like the gauge hierarchy problem. If the warp factor is different for the time and space components of the metric, new effects may arise. We concentrate on this possibility and show that the speed of gravity may differ from that of electromagnetism, while Lorentz invariance is preserved for the standard model fields. A charged black hole in a 5 dimensional bulk provides the necessary background. Its properties are studied in detail to ensure correct embedding of the brane. Computation of the speed of gravity in this setup is done both perturbatively and numerically. The results are compared with experimental bounds to constrain the parameters of our scenario.
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Pihan-Le, Bars Hélène. "Des horloges atomiques à la mission MICROSCOPE : recherche de violations d’invariance de Lorentz." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLEO010/document.

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Cette thèse présente deux tests d'invariance de Lorentz, réalisés dans le cadre de l'Extension du Modèle Standard (SME). Le premier a pour objectif une recherche de violation dans le secteur SME de la matière, grâce aux données d'une horloge à atomes froids de 133Cs. La recherche de variations de la fréquence de transition hyperfine de cet atome a permis de contraindre plusieurs coefficients SME liés aux protons et aux neutrons, avec une sensibilité améliorant jusqu'à 12 ordres de grandeur les limites actuelles sur ces derniers. Le second test a été réalisé grâce aux données de la mission spatiale MICROSCOPE, en vol depuis le 25 avril 2016, qui a pour but de tester le Principe d'Équivalence faible avec une précision de l’ordre de 10−15 sur le paramètre d'Eötvös. Nous avons utilisé les mesures MICROSCOPE pour contraindre des violations d'invariance de Lorentz dues à un couplage entre matière et gravitation, en recherchant des variations de l'accélération relative de deux masses d'épreuve selon l'orientation de l'axe sensible de l'instrument, un double accéléromètre électrostatique. Les premiers résultats, obtenus grâce à l'analyse de cinq sessions de mesures, ont déjà démontré une amélioration jusqu'à 4 ordres de grandeur des contraintes sur deux coefficients du secteur SME de la matière couplée à la gravitation
This thesis presents two Lorentz invariance tests, performed within the Standard Model Extension framework (SME). The first one is a search for a violation in the matter sector of the SME, using data from a cold atom clock. The search for variations in the hyperfine transition frequency of 133Cs allowed us to constrain several SME coefficients related to protons and neutrons, with a sensitivity improving by up to 12 orders of magnitude the current best laboratory limits on these coefficients. The second test was carried out using the data from the MICROSCOPE space mission, in flight since April 2016, which is intended to test the Weak Equivalence Principle (WEP) with an accuracy of 10−15 on the Eötvös parameter. In this experiment, a coupling between matter and gravitation could lead to Lorentz violation signals and therefore to variations in relative acceleration of two test masses depending on the satellite orientation. The relative acceleration is measured by a differential electrostatic accelerometer. The first results, obtained through the analysis of five sessions, have already demonstrated an improvement of up to 4 orders of magnitude of the constraints on two coefficients of the SME sector of matter-gravity couplings
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Bourgoin, Adrien. "Contraintes sur les violations à la symétrie de Lorentz par analyse des données de télémétrie laser Lune." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066481/document.

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La relativité générale (RG) et le modèle standard des particules permettent de comprendre les quatre interactions fondamentales de la nature. La formulation d'une théorie quantique de la gravitation permettrait d'unifier ces deux tenants de la physique moderne. D'après les grandes théories d'unification, une telle union est possible moyennant la brisure de certaines symétries fondamentales apparaissant à la fois en RG et dans le modèle standard telle la symétrie de Lorentz. Les violations de la symétrie de Lorentz peuvent être paramétrées dans tous les domaines de la Physique par une théorie effective du champ appelée extension du modèle standard (SME). Une violation au principe d'invariance locale de Lorentz dans le secteur gravitationnel serait supposée engendrer des perturbations dans la dynamique orbitale des corps présents dans le système solaire, notamment la Lune. Ainsi, à partir des données extrêmement précises de télémétrie laser, l'orbite lunaire peut être minutieusement analysée afin de débusquer d'éventuelles anomalies dans son mouvement. Dans cette optique, ELPN (Ephéméride Lunaire Parisienne Numérique), une nouvelle éphéméride lunaire intégrée dans le cadre du formalisme SME a été développée durant la thèse. ELPN fournit les solutions au problème lunaire sous la forme de séries temporelles datées en temps dynamique barycentrique (TDB). Parmi les solutions numériquement intégrées, mentionnons la position et la vitesse du vecteur barycentrique Terre-Lune, les angles de librations lunaires, la différence entre le temps terrestre et le TDB, ainsi que l'ensemble des dérivées partielles intégrées depuis l'équation aux variations. Les prédictions de l'éphéméride ont été utilisées afin de réduire les observations lunar laser ranging (LLR). Dans le cadre de la RG, la dispersion des résidus s'est avérée en accord avec les dispersions calculées à partir des éphémérides INPOP13b et DE430. Dans le cadre du SME minimal, l'analyse des données LLR a permis de contraindre toutes violations à l'invariance locale de Lorentz. Une grande attention a été portée à l'analyse des incertitudes afin de fournir des contraintes réalistes. Ainsi, dans un premier temps, les combinaisons linéaires de coefficients SME ont été isolées puis ajustées aux observations. Puis, dans un second temps, les incertitudes réalistes ont été déterminées par une méthode de ré-échantillonnage. L'analyse des données de télémétrie laser Lune n'a pas permis de révéler de violations au principe d'invariance locale de Lorentz agissant au niveau de l'orbite lunaire. Les prédictions de la RG ont donc été validées avec des précisions absolues allant de 10-9 à 10-12
General Relativity (GR) and the standard model of particle physics provide a comprehensive description of the four interactions of nature. A quantum gravity theory is expected to merge these two pillars of modern physics. From unification theories, such a combination would lead to a breaking of fundamental symmetry appearing in both GR and the standard model of particle physics as the Lorentz symmetry. Lorentz symmetry violations in all fields of physics can be parametrized by an effective field theory framework called the standard-model extension (SME). Local Lorentz Invariance violations in the gravitational sector should impact the orbital motion of bodies inside the solar system, such as the Moon. Thus, the accurate lunar laser ranging (LLR) data can be analyzed in order to study precisely the lunar motion to look for irregularities. For this purpose, ELPN (Ephéméride Lunaire Parisienne Numérique), a new lunar ephemeris has been integrated in the SME framework. This new numerical solution of the lunar motion provides time series dated in temps dynamique barycentrique (TDB). Among that series, we mention the barycentric position and velocity of the Earth-Moon vector, the lunar libration angles, the time scale difference between the terrestrial time and TDB and partial derivatives integrated from variational equations. ELPN predictions have been used to analyzed LLR observations. In the GR framework, the residuals standard deviations has turned out to be the same order of magnitude compare to those of INPOP13b and DE430 ephemerides. In the framework of the minimal SME, LLR data analysis provided constraints on local Lorentz invariance violations. Spetial attention was paid to analyze uncertainties to provide the most realistic constraints. Therefore, in a first place, linear combinations of SME coefficients have been derived and fitted to LLR observations. In a second time, realistic uncertainties have been determined with a resampling method. LLR data analysis did not reveal local Lorentz invariance violations arising on the lunar orbit. Therefore, GR predictions are recovered with absolute precisions of the order of 10-9 to 10-12
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Bailey, Quentin G. "Lorentz violation and gravity." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3274990.

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Thesis (Ph.D.)--Indiana University, Dept. of Physics, 2007.
Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4556. Adviser: V. Alan Kostelecky. Title from dissertation home page (viewed Apr. 22, 2008).
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Mondragon, Antonio Richard. "Lorentz-violating dark matter." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1672.

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Da, Silva Leite Julio Rafael. "Aspects of fermion dynamics from Lorentz symmetry violation." Thesis, King's College London (University of London), 2016. https://kclpure.kcl.ac.uk/portal/en/theses/aspects-of-fermion-dynamics-from-lorentz-symmetry-violation(5e450b90-beee-4099-a932-3cb64e93ba5f).html.

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In this thesis we are interested in understanding how Lorentz symmetry violation can affect some features of fermion dynamics and, perhaps, help to solve some well-known problems in particle physics, such as the origin of neutrino masses and oscillations. Firstly, we consider two Lorentz-Invariance-Violating (LIV) models and investigate the possibility of generating masses and oscillations dynamically for both Dirac and Majorana neutrinos, using non-perturbative methods, such as the Schwinger- Dyson and the effective potential approaches. In our studies, Lorentz symmetric models are extended by the inclusion of higher-order LIV operators, which improve the convergence of loop integrals and introduce a natural mass scale to the theories. We then present how Lorentz invariance can be recovered, for both models, after quantisation, in such a way that the dynamical masses and mixing are the only quantum effects that remain finite. Additionally, we study how matter fields, especially fermions, behave when coupled to two modifed gravity models. Such modifed gravity models break the 4-dimensional diffeomorphism invariance and, consequently, induce local Lorentz violation. In particular, we consider Horava-Lifshitz gravity, which presents an improved ultraviolet behaviour when compared to General Relativity (GR), and thus addresses a fundamental problem in physics: the non-(perturbative-)renormalisability of the theory of GR. We calculate the LIV one-loop corrections to the matter sector dispersion relations, after integration over graviton components, and show that, by imposing reasonable constraints on the energy scales of our gravity models, our results are consistent with the current bounds on Lorentz symmetry violation.
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Colombo, Mattia. "Aspects of Lorentz violating theories of gravity." Thesis, University of Nottingham, 2016. http://eprints.nottingham.ac.uk/38419/.

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Lorentz symmetry is arguably the most fundamental symmetry of physics, at least in its modern conception. On the other hand, some of the issues that plague the currently accepted theory of gravitation could be solved by breaking such symmetry. The theory proposed by Petr Horava in 2009 brings forward exactly this aspect. The theory, dubbed Horava gravity, is a UV complete theory of gravity that is also renormalisable. It represents therefore a good candidate for a quantum theory of gravity. There are some issues though, which typically arise in any theory which explicitely violates Lorentz symmetry. In this thesis we will be concerned with two of these issues, in particular the matter problem and the existence of black holes. The first issue mentioned arises every time we try to couple matter to a Lorentz violating theory of gravity. Indeed, in the matter sector Lorentz symmetry is extremely well constrained, and therefore we need to find a way to avoid the percolation of Lorentz violations to the matter sector through higher order operators. One possible solution based on the separation of scales was proposed in the last few years (Pospelov et al.,2010). While studying the proposed mechanism though, the authors uncovered a naturalness problem in the vector sector of the theory. The solutions they proposed relies on the use of some higher derivative terms that are not normally present in the ``traditional'' Horava theory. It is unclear then what impact this type of terms can have on the whole theory. In our work we precisely addressed this question. We analysed the perturbations around Minkowski of the most generic theory extended to these type of terms, both from the point of view of the stability of the theory and of the renormalisability. What we found is that the theory retains its renormalisability, but some instabilities occur in the scalar sector. More work is hence required in order to understand whether such instabilities could be tamed, or if the mixed derivatives should be abandoned in favour of some alternative solution, not presently available. The second theme we concentrated on is that of the existence of black holes. The definition of black hole in general relativity rely strongly on the causal structure dictated by Lorentz symmetry. As soon as Lorentz symmetry is broken it is therefore unclear whether black holes will still exist. Surprisingly enough black holes have been shown to exist in Lorentz breaking theories, but a rigorous definition was still to be found. In our work we developed the mathematically rigorous definitions for the causal structure of foliated spacetimes and we defined for the first time black holes in such spacetimes. We also uncovered a number of interesting properties of this objects and we developed a local characterisation that allows one to locate horizons without the knowledge of the whole structure of the complete spacetime. Finally we developed the Initial Value Problem for these types of theory in the hope that new simulations of gravitational collapse will be performed using our analysis as a starting point. The thesis is organised as follows. In the first Chapter we give an introduction on gravity and the problems with its renormalization. We also introduce some of the theories that have been proposed to solve this difficulties. In the second Chapter we start discussing Lorentz violations and we provide a proof of the power-counting renormalizability of a toy model of a Lorentz violationg scalar field theory. We also introduce the theories that we will be studying throughout the thesis. In the third Chapter we discuss the mixed derivative extension to Horava gravity and we discuss the consequences of the new terms that occur in the theory. In the fourth and fifth Chapters we introduce the causal structure of spacetimes which violate Lorentz symmetry by means of a preferred foliation, we discuss the notion of black holes and horizons and we formalise some results present in the literature adapting them to our framework. In the sixth Chapter we then discuss the Initial Value Problem for such spacetimes, with some attention to the process of gravitational collapse leading to the formation of black holes. Finally in the last Chapter we draw some conclusions and discuss some ideas for future work.
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Hardy, Lucien. "Nonlocality, violation of Lorentz invariance, and wave-particle duality in quantum theory." Thesis, Durham University, 1992. http://etheses.dur.ac.uk/6079/.

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This thesis addresses some of the consequences of giving quantum mechanics a realist interpretation. We consider three main topics: wave-particle duality, locality, and Lorentz invariance. First we show that classical particles alone or classical waves alone cannot explain all single particle quantum phenomena. Then we consider the possibility that a quantum particle is composed of a particle and a wave, both being taken to exist objectively. We are able to demonstrate the reality of empty waves (that is, waves without a particle) if we make three realist motivated assumptions. The main part of this thesis concerns locality. In 1964 Bell demonstrated that a local realist interpretation of quantum mechanics is not possible by deriving a set of inequalities that apply to two particle systems. More recently Greenberger, Home, and Zeilinger have demonstrated this for systems with more than two particles without the need for inequalities. We present a new way to derive Bell inequalities for two particles and show how this can be extended to systems with more than two particles. A number of proposals for experiments to test local realism are put forward. In particular, we show how it is possible to demonstrate the nonlocality of a single photon. A new demonstration of Bell's theorem is presented for two particles but without inequalities. A realizable quantum optical version is proposed and inequalities are proposed which would be required in a non-ideal experiment. Finally, the question of Lorentz invariance is considered. We define a condition for the existence of elements of reality and a condition for the Lorentz invariance of these elements of reality. Then we show that, by considering a particular gedanken experiment, we obtain a contradiction demonstrating that Lorentz-invariant realistic interpretations of quantum theory are not possible.
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Brister, James Sebastian. "Low-energy Lorentz symmetry violation from quantum corrections in Lifshitz-scaling models." Thesis, King's College London (University of London), 2015. http://kclpure.kcl.ac.uk/portal/en/theses/lowenergy-lorentz-symmetry-violation-from-quantum-corrections-in-lifshitzscaling-models(4f0d41a7-fd7d-4eb4-9aed-7ca45f8f0a9d).html.

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In this thesis we investigate the effects of low-order quantum corrections on Lifshitz-type quantum field theories. In particular, we consider the Lorentz-symmetry violating corrections to the dispersion relations of the various particles of these theories at low energies, which may be of a significant size even where the classical effect is small. We first study a Lifshitz scaling model of two fermion flavours in flat at space, interacting by a flavour mixing four-point term. We demonstrate the dynamical generation of masses and flavour oscillations and consider these as a possible model of neutrino mixing. We use existing experimental constraints on neutrino masses and mixing angles to place restrictions on the couplings of our model. We then investigate quantum corrections to the couplings and dispersions, and finnd that the latter would be too large to be considered physical. Next, we investigate a Lifshitz scaling model of Quantum Electrodynamics, containing only fermions and gauge fields. We investigate the extent to which such models may be phenomenologically viable, again primarily through calculating low-order dressed dispersion relations. In doing this, we encounter issues not seen in the simpler model such as those of gauge fixing and dimensional regularisation in anisotropic theories. We again finnd that the dressed dispersion relations appear notably non-relativistic even at low energies, despite the classical model being well within experimental bounds. Finally, we investigate the dressing of scalar and vector boson dispersion relations by the quantum effects of the so-called 'covariant' extension of Horava-Lifshitz gravity, which despite having an unusual extra symmetry seems better behaved than the 'original' form of Horava gravity. We find that even integrating out the effects of quantum gravity fluctuations alone gives significant corrections to the matter sector's dispersion relations, which allows us to place some new constraints on the energy scales of the theory.
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Lang, Rodrigo Guedes. "Effects of Lorentz invariance violation on the ultra-high energy cosmic rays spectrum." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/76/76131/tde-13042017-143220/.

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Relativity is one of the most important and well tested theories and Lorentz invariance is one of its pillars. Lorentz invariance violation (LIV), however, has been discussed in several quantum gravity and high energy models. For this reason, it is crucial to test it. Several tests, both terrestrial and astrophysical, have been performed in the last years and provide limits on the violation. This work takes part in these efforts and discuss the possibility of testing LIV with ultra-high energy cosmic rays (UHECRs). The effects of LIV in their propagation and the resulting changes in the spectrum of UHECRs are obtained and compared to the experimental data from the Pierre Auger Observatory. An analytical calculation for the inelasticity in the laboratory frame with LIV of any a + b → c + d interaction is presented and used to obtain the phase space and the energy losses of the pion production for protons, the photodisintegration for nuclei and the pair production for photons with LIV. A parametrization for the threshold energy of the photodisintegration with LIV is also proposed. The main effect seen is a decrease in the phase space and a resulting decrease in the energy loss. These changes have been implemented in Monte Carlo propagation codes and the resulting spectra of protons, nuclei and photons on Earth have been obtained and fitted to the data from the Pierre Auger Observatory. It is shown that upper limits on the photon LIV coefficient can be derived from the upper limits on the photon flux from the Pierre Auger Observatory.
Relatividade é uma das mais importantes e bem testadas teorias e a invariância de Lorentz é um de seus pilares. A violação da invariância de Lorentz (VIL), todavia, tem sido discutida em diversos modelos de gravidade quântica e altas energias. Por tal motivo, é crucial testá-la. Diversos testes, tanto terrestres quanto astrofísicos, foram realizados nos últimos anos e fornecem limites na violação. Este trabalho se insere nesses esforços e discute a possibilidade de testar VIL com raios cósmicos de altíssima energia. Os efeitos da VIL em sua propagação e as consequentes mudanças no espectro de raios cósmicos de altíssima energia são obtidos e comparados com os dados experimentais do Observatório Pierre Auger. Um cálculo analítico para a inelasticidade no referencial do laboratório com VIL para qualquer interação da forma a + b → c + d é apresentado e usado para obter o espaço de fase e as perdas de energia para a produção de píons para prótons, a fotodesintegração para núcleos e a produção de pares para fótons com VIL. Uma parametrização para o limiar de energia da fotodesintegração com VIL também é proposta. O principal efeito observado é uma diminuição no espaço de fase e uma consequente diminuição nas perdas de energia. Tais mudanças foram implementadas em códigos de Monte Carlo para a propagação e os espectros resultantes para prótons, núcleos e fótons na Terra foram obtidos e ajustados aos dados do Observatório Pierre Auger. É mostrado que limites superiores nos coeficientes de VIL para o fóton podem ser deduzidos dos limites superiores para o fluxo de fótons do Observatório Pierre Auger.
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Books on the topic "Lorentz Violations"

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Alan, Kostelecký V., and ebrary Inc, eds. Proceedings of the fifth Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 28 June-2 July 2010. Hackensack, N.J: World Scientific, 2011.

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Alan, Kostelecký V., ed. Proceedings of the second Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 15-18 August, 2001. River Edge, N.J: World Scientific, 2002.

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Alan, Kostelecký V., ed. Proceedings of the Third Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 4-7 August 2004. Hackensack, N.J: World Scientific, 2005.

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Alan, Kostelecký V., ed. Proceedings of the Fourth Meering on CPT and Lorentz Symmetry, Bloomington, USA, 8-11 August 2007. Singapore: World Scientific, 2008.

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Bloomington) Meeting on CPT and Lorentz Symmetry (6th 2013 Indiana University. Proceedings of the Sixth Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 17-21 June 2013. Edited by Kostelecký, V. Alan, editor of compilation. New Jersey: World Scientific, 2014.

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Physics beyond the light barrier: The source of parity violation, tachyons, and a derivation of standard model features. Auburn, NH: Pingree-Hill Pub., 2008.

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Blaha, Stephen. The origin of the standard model: The genesis of four quark and lepton species, parity violation, the electro weak sector, color SU(3), three visible generations of fermions, and one generation of dark matter with dark energy ; Quantum theory of the third kind : a new type of divergence-free quantum field theory supporting a unified standard model of elementary particles and quantum gravity based on a new method in the calculus of variations. Auburn, NH: Pingree-Hill Publishing, 2006.

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Sun, Frank. New Physics with Lorentz Violation. Lulu.com, 2006.

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Sun, Frank Q. New Physics with Lorentz Violation and Deeper Structure. Lulu Publishing Services, 2018.

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Proceedings of the Meeting on Cpt and Lorentz Symmetry: Indiana University, Bloomington November 6-8, 1998. World Scientific Publishing Company, 1999.

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Book chapters on the topic "Lorentz Violations"

1

Allen, Roland E. "Lorentz-Violating Supergravity." In Beyond the Desert 2003, 163–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18534-2_9.

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Duplij, Steven, Steven Duplij, Steven Duplij, Frans Klinkhamer, Frans Klinkhamer, Anatoli Klimyk, Gert Roepstorff, et al. "Lorentz Violation, with supersymmetry." In Concise Encyclopedia of Supersymmetry, 234. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_307.

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Solomon, Adam Ross. "Lorentz Violation During Inflation." In Cosmology Beyond Einstein, 155–95. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46621-7_8.

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Lehnert, Ralf. "CPT and Lorentz-invariance violation." In EXA/LEAP 2008, 275–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02803-8_41.

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Majhi, Rudra, C. Soumya, and Rukmani Mohanta. "Lorentz Invariance Violation and Long Baseline Experiments." In Springer Proceedings in Physics, 349–53. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6292-1_44.

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Pabisch, Roland. "Violation of Local Lorentz Invariance by Atomic Clocks." In Derivation of the time dilatation effect from fundamental properties of photons, 19–42. Vienna: Springer Vienna, 1999. http://dx.doi.org/10.1007/978-3-7091-9483-6_3.

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Carreto Fidalgo, David. "Lorentz Invariance Violation: Limits from the Crab Pulsar." In Revealing the Most Energetic Light from Pulsars and Their Nebulae, 125–40. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24194-0_6.

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Lehnert, Ralf. "Lorentz and CPT violation in the Standard-Model Extension." In SSP 2012, 219–24. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6485-9_29.

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Lehnert, Ralf. "The Lorentz-Violating Extension of the Standard Model." In Beyond the Desert 2003, 179–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18534-2_10.

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Allmendinger, F., M. Burghoff, W. Heil, S. Karpuk, W. Kilian, S. Knappe-Grüneberg, W. Müller, et al. "Searches for Lorentz violation in 3He/129Xe clock comparison experiments." In SSP 2012, 209–17. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6485-9_28.

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Conference papers on the topic "Lorentz Violations"

1

GAMBINI, RODOLFO, and JORGE PULLIN. "LORENTZ VIOLATIONS IN CANONICAL QUANTUM GRAVITY." In Proceedings of the Second Meeting. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778123_0005.

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MEWES, MATTHEW. "HIGHER-ORDER LORENTZ VIOLATIONS IN ELECTRODYNAMICS." In Proceedings of the Fifth Meeting. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814327688_0017.

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COLLADAY, D., and P. MCDONALD. "NONRELATIVISITIC IDEAL GASES AND LORENTZ VIOLATIONS." In Proceedings of the Third Meeting. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702173_0032.

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Liberati, Stefano. "Quantum gravity phenomenology via Lorentz violations." In School on Particle Physics, Gravity and Cosmology. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.034.0018.

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Overduin, James M., and Hamna Ali. "Extra Dimensions and Violations of Lorentz Symmetry." In Seventh Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813148505_0066.

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PAKVASA, SANDIP. "CPT AND LORENTZ VIOLATIONS IN NEUTRINO OSCILLATIONS." In Proceedings of the Second Meeting. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778123_0023.

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LIBERATI, S., T. A. JACOBSON, and D. MATTINGLY. "HIGH ENERGY CONSTRAINTS ON LORENTZ SYMMETRY VIOLATIONS." In Proceedings of the Second Meeting. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778123_0036.

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Samajdar, Anuradha. "Constraints on Lorentz-Invariance Violations from Gravitational-Wave Observations." In Eighth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811213984_0020.

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O’Neal-Ault, K., Quentin G. Bailey, and M. Zanolin. "Testing for Lorentz-Invariance Violations Through Birefringence Effects on Gravitational Waves." In Eighth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811213984_0057.

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Hanson, J. C. "Ultra-High Energy Astrophysical Neutrino Detection and the Search for Lorentz-Invariance Violations." In Seventh Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813148505_0047.

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Reports on the topic "Lorentz Violations"

1

Amandolia, Kenneth, and Charles Lane. Untangling Coefficients for Lorentz Violation. Journal of Young Investigators, May 2018. http://dx.doi.org/10.22186/jyi.34.5.26-30.

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Katori, Teppei. Tests of Lorentz and CPT violation with MiniBooNE neutrino oscillation excesses. Office of Scientific and Technical Information (OSTI), June 2012. http://dx.doi.org/10.2172/1131289.

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Whittington, Denver Wade. Searches for Lorentz Violation in Top-Quark Production and Decay at Hadron Colliders. Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1248357.

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Katori, Teppei. A Measurement of the muon neutrino charged current quasielastic interaction and a test of Lorentz violation with the MiniBooNE experiment. Office of Scientific and Technical Information (OSTI), December 2008. http://dx.doi.org/10.2172/945410.

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