subject:(Planck scale)

1. Bui, Van Tuan. A study of the large-scale structure of the universe with galaxy clusters : from Planck to Euclid : Une étude de la structure à grande échelle de l'Univers avec des amas de galaxies : de Planck à Euclid.

Degree: Docteur es, Physique de l'Univers.Cosmologie, 2019, Sorbonne Paris Cité

URL: http://www.theses.fr/2019USPCC022

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L'étude de la structure à grande échelle de l'univers est l'un des éléments les plus importants pour comprendre l'origine et l'évolution de l'Univers. Les amas… (more)

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L'étude de la structure à grande échelle de l'univers est l'un des éléments les plus importants pour comprendre l'origine et l'évolution de l'Univers. Les amas de galaxies qui se sont formés à partir d'effondrements gravitationnels dans le champ de densité cosmique sont les plus grandes structures gravitationnelles liées. En utilisant la corrélation à deux points, nous pouvons quantifier le regroupement des galaxies aux échelles spatiale et angulaire. Le catalogue d’amas de la mission Planck contient des sources détectées par l'effet Sunyaev-Zel’dovich (SZ) pendant les 29 mois d’observation de la mission. C'est le plus grand catalogue d’amas SZ existant. Il couvre environ 85% du ciel. Dans cette thèse, nous étudions la fonction de corrélation angulaire à deux points w (thêta) de ce catalogue. Nous avons obtenu une indication d’un signal de regroupement des amas de Planck avec décalage vers le rouge inférieur à 0,4 et un rapport signal sur bruit SNR ≥ 6. Nous avons aussi détecté significatif pour un décalage vers le rouge z <0,2 et SNR ≥ 6. La corrélation des amas de Planck s'avère tout à fait compatible avec notre prédiction. Nous explorons également le potentiel de la fonction de corrélation à deux points ξ (r) du catalogue de halos de matière noire de la simulation Flagship Euclid. Euclid est une mission spatiale en cours de développement visant à étudier l’énergie noire et la matière noire en mesurant l’expansion accélérée de l’univers. Nous avons trouvé que la corrélation entre les halos de matière noire de la simulation Flagship évolue avec le décalage vers le rouge. Sur des échelles inférieures à 60 h-1 Mpc, la corrélation du halo de matière noire est bien ajustée par une loi de puissance avec une longueur de corrélation entre 16 et 19 h-1 Mpc selon le décalage vers le rouge. Nous avons également mis en évidence la signature BAO (Baryonic Acoustic Oscillations) dans les groupes avec décalage vers le rouge z> 0,2. Enfin, nous montrons également, dans le contexte du défi scientifique 3 du consortium Euclid, les résultats de la validation de données de simulations des données externes nécessaires à Euclid. Dans cette partie, nous présentons des méthodes pour mesurer la photométrie, des outils astronomiques pour mesurer l'astrométrie, extraire des objets d'une image astronomique.

Studying the large-scale structure of the universe is one of the most important elements to understand the origin and evolution of the universe. Galaxy clusters which formed from gravitational collapses in the cosmic density field are the largest gravitationally bound structures. Using the two-point correlation we can quantify the clustering of galaxy clusters in both spatial and angular scales. Many galaxy surveys have been carried out for similar purpose. The Planck Sunyaev-Zel’dovich (SZ) cluster catalog contains sources detected through the SZ effect from the 29-month full sky Planck mission. This is the largest SZ cluster catalog and it covers about 85% of the sky. In this thesis, we investigate the angular two-point correlation…

Advisors/Committee Members: Beckmann, Volker (thesis director), Rosset, Cyrille (thesis director).

Subjects/Keywords: Cosmologie; Structure à grande échelle; Amas de galaxies; Catalogue des amas de Planck SZ; Oscillations acoustiques des baryons; Matière noire; Énergie noire; Fonction corrélation à deux points; Cosmology; Large-scale structure; Galaxy clusters; Planck SZ cluster catalog; Baryonic Acoustic Oscillations; Dark matter; Dark energy; Two-point correlation function

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bui, V. T. (2019). A study of the large-scale structure of the universe with galaxy clusters : from Planck to Euclid : Une étude de la structure à grande échelle de l'Univers avec des amas de galaxies : de Planck à Euclid. (Doctoral Dissertation). Sorbonne Paris Cité. Retrieved from http://www.theses.fr/2019USPCC022

Chicago Manual of Style (16^th Edition):

Bui, Van Tuan. “A study of the large-scale structure of the universe with galaxy clusters : from Planck to Euclid : Une étude de la structure à grande échelle de l'Univers avec des amas de galaxies : de Planck à Euclid.” 2019. Doctoral Dissertation, Sorbonne Paris Cité. Accessed January 26, 2021. http://www.theses.fr/2019USPCC022.

MLA Handbook (7^th Edition):

Bui, Van Tuan. “A study of the large-scale structure of the universe with galaxy clusters : from Planck to Euclid : Une étude de la structure à grande échelle de l'Univers avec des amas de galaxies : de Planck à Euclid.” 2019. Web. 26 Jan 2021.

Vancouver:

Bui VT. A study of the large-scale structure of the universe with galaxy clusters : from Planck to Euclid : Une étude de la structure à grande échelle de l'Univers avec des amas de galaxies : de Planck à Euclid. [Internet] [Doctoral dissertation]. Sorbonne Paris Cité; 2019. [cited 2021 Jan 26]. Available from: http://www.theses.fr/2019USPCC022.

Council of Science Editors:

Bui VT. A study of the large-scale structure of the universe with galaxy clusters : from Planck to Euclid : Une étude de la structure à grande échelle de l'Univers avec des amas de galaxies : de Planck à Euclid. [Doctoral Dissertation]. Sorbonne Paris Cité; 2019. Available from: http://www.theses.fr/2019USPCC022

2. Chatwin-Davies, Aidan. A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology.

Degree: 2013, University of Waterloo

URL: http://hdl.handle.net/10012/7759

► In the field of quantum gravity, it is widely expected that some form of a minimum length scale, or ultraviolet cutoff, exists in nature. Recently,… (more)

▼ In the field of quantum gravity, it is widely expected that some form of a minimum length scale, or ultraviolet cutoff, exists in nature. Recently, a new natural ultraviolet cutoff that is fully covariant was proposed. In the literature, most studies of ultraviolet cutoffs are concerned with Lorentz-violating ultraviolet cutoffs. The difficulty in making a minimum length cutoff covariant is rooted in the fact that any given length scale can be further Lorentz contracted. It was shown that this problem is avoided by the proposed covariant cutoff by allowing field modes with arbitrarily small wavelengths to still exist, albeit with exceedingly small, covariantly-determined bandwidths. In other words, the degrees of freedom of sub-Planckian modes in time are highly suppressed. The effects of this covariant ultraviolet cutoff on the kinematics of a scalar quantum field are well understood. There is much to learn, however, about the effects on a field’s dynamics. These effects are of great interest, as their presence may have direct observational consequences in cosmology. As such, this covariant ultraviolet cutoff offers the tantalizing prospect of experimental access to physics at the Planck scale. In cosmology, the energy scales that are probed by measurements of cosmic microwave background (CMB) statistics are the closest that we can get to the Planck scale. In particular, the statistics of the CMB encodes information about the quantum fluctuations of the scalar inflaton field. A measure of the strength of a field’s quantum fluctuations is in turn given by the magnitude of the field’s Feynman propagator. To this end, in this thesis I study how this covariant ultraviolet cutoff modifies the Feynman propagator of a scalar quantum field. In this work, I first calculate the cutoff Feynman propagator for a scalar field in flat spacetime, and then I address the cutoff Feynman propagator of a scalar field in curved spacetime. My studies culminate with an explicit calculation for the case of a power-law Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. This last calculation is cosmologically significant, as power-law FLRW spacetime is a prototypical and realistic model for early-universe inflation. In preparation for studying the covariant cutoff on curved spacetime, I will review the necessary back- ground material as well as the kinematic influence of the covariant cutoff. I will also discuss several side results that I have obtained on scalar quantum field theories in spacetimes which possess a finite start time.

Subjects/Keywords: theoretical physics; mathematical physics; cosmology; quantum field theory; quantum gravity; Planck scale effects; trans-Planckian; UV cutoff

…the Planck scale [1]. Consider, for instance, the following heuristic argument… …experimental access to physics at the Planck scale. 1 In cosmology, the energy scales that are… …closest that we can get to the Planck scale. In particular, the statistics of the CMB’s… …Therefore, it may be that Planck scale effects could be observed in the CMB at only five to six… …length scale, or natural ultraviolet (UV) cutoff, exists in nature at the order of…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Chatwin-Davies, A. (2013). A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/7759

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Chatwin-Davies, Aidan. “A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology.” 2013. Thesis, University of Waterloo. Accessed January 26, 2021. http://hdl.handle.net/10012/7759.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Chatwin-Davies, Aidan. “A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology.” 2013. Web. 26 Jan 2021.

Vancouver:

Chatwin-Davies A. A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology. [Internet] [Thesis]. University of Waterloo; 2013. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/10012/7759.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chatwin-Davies A. A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology. [Thesis]. University of Waterloo; 2013. Available from: http://hdl.handle.net/10012/7759

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Melbourne

3. Mohajeri, Arash. Effective diffusion coefficients for charged porous materials based on micro-scale analyses.

Degree: 2009, University of Melbourne

URL: http://hdl.handle.net/11343/35225

► Estimation of effective diffusion coefficients is essential to be able to describe the diffusive transport of solutes in porous media. It has been shown in… (more)

▼ Estimation of effective diffusion coefficients is essential to be able to describe the diffusive transport of solutes in porous media. It has been shown in theory that in the case of uncharged porous materials the effective diffusion coefficient of solutes is a function of the pore morphology of the material and can be described by their tortuosity (tensor). To estimate the apparent diffusion coefficients, the values of tortuosity and porosity should be known first. In contrast with calculation of porosity, which can be easily obtained, estimation of tortuosity is intricate, particularly with increasing micro-geometry complexity in porous media. Moreover, many engineering materials (e.g, clays and shales) are characterized by electrical surface charges on particles of the porous material which can strongly affect the diffusive transport properties of ions. For these materials, estimation of effective diffusion coefficients have been mostly based on phenomenological equations with no link to underlying microscale properties of these charged materials although a few recent studies have used alternative methods to obtain the diffusion parameters. In the first part of this thesis a numerical method based on a recently proposed up-scaled Poisson-Nernst-Planck type of equation (PNP) and its microscale counterpart is employed to estimate the tortuosity and thus the effective and apparent diffusion coefficients in thin charged membranes. Beside this, a new mathematical approach for estimation of tortuosity is applied and validated. This mathematical approach is also derived while upscaling of micro-scale Poisson-Nernst-Planck system of equations using the volume averaging method. A variety of different pore 2D and 3D micro-geometries together with different electrochemical conditions are studied here. To validate the new approaches, the relation between porosity and tortuosity has been obtained using a multi-scale approach and compared with published results. These include comparison with the results from a recently developed numerical method that is based on macro and micro-scale PNP equations. Results confirm that the tortuosity value is the same for porous media with electrically uncharged and charged particles but only when using a consistent set of PNP equations. The effects of charged particles are captured by the ratio of average concentration to effective intrinsic concentration in the macroscopic PNP equations. Using this ratio allows to consistently take into account electro-chemical interactions of ions and charges on particles and so excludes any ambiguity generally encountered in phenomenological equations. Steady-state diffusion studies dominate this thesis; however, understanding of transient ion transport in porous media is also important. The last section of this thesis briefly introduces transient diffusion through bentonite. To do so, the micro Nernst-Planck equation with…

Subjects/Keywords: effective diffusion coefficient; tortuosity; clays; multi-scale; Poisson–Nernst–Planck equation; numerical modeling; adsorption

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mohajeri, A. (2009). Effective diffusion coefficients for charged porous materials based on micro-scale analyses. (Masters Thesis). University of Melbourne. Retrieved from http://hdl.handle.net/11343/35225

Chicago Manual of Style (16^th Edition):

Mohajeri, Arash. “Effective diffusion coefficients for charged porous materials based on micro-scale analyses.” 2009. Masters Thesis, University of Melbourne. Accessed January 26, 2021. http://hdl.handle.net/11343/35225.

MLA Handbook (7^th Edition):

Mohajeri, Arash. “Effective diffusion coefficients for charged porous materials based on micro-scale analyses.” 2009. Web. 26 Jan 2021.

Vancouver:

Mohajeri A. Effective diffusion coefficients for charged porous materials based on micro-scale analyses. [Internet] [Masters thesis]. University of Melbourne; 2009. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/11343/35225.

Council of Science Editors:

Mohajeri A. Effective diffusion coefficients for charged porous materials based on micro-scale analyses. [Masters Thesis]. University of Melbourne; 2009. Available from: http://hdl.handle.net/11343/35225

4. Oliva, Maxime. The quantum Wigner current : a geometric approach to quantum dynamics in phase space.

Degree: PhD, 2019, University of Hertfordshire

URL: http://hdl.handle.net/2299/22363

► Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when… (more)

▼ Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when it comes to studying chaos theory and statistical mechanics. After the advent of quantum physics early in the 20th century, E. Wigner [91], J. E. Moyal [62] and H. J. Groenewold [31] introduce a quantum theory in phase space. Despite the apparent added complexity of the mathematics involved in this new framework, the underlying classical and quantum equations show many similarities. The probability distribution in classical physics becomes the Wigner distribution, a probability distribution usually featuring negative values. In 2013, O. Steuernagel and D. Kakofengitis, inspired by the work of H. Bauke [7] and E. Wigner [91], identified the quantum analogue of the classical phase space flow: the Wigner current J [83]. This Wigner current allows the visualisation of quantum dynamics through a quantum fluid dynamics perspective in phase space. This thesis is written by collection of five articles. They are prefaced by an introduction into the basics of quantum phase space theory and its link with both classical phase space dynamics and the standard Schrödinger approach, followed by the articles published during this PhD. Article 1 shows the importance of the integral form of the Wigner current. We use it to derive the Ehrenfest’s theorem, as well as to refute some propositions made within the community. Article 2 shows that, using the Wigner current, an Eulerian and Lagrangian point of view do not always give the same results for the quantum case. We demonstrate that the negativities of the Wigner distribution, sign of quantumness of the system, are created by the Wigner velocity field singularities. The Wigner velocity field is the quantum analogue of the classical phase space velocity field. In Article 3, we see that even though Wigner distributions of quantum systems feature spotty structures which saturate on scales ɑZ [97], the construction of a superoscillating Wigner distribution allows one to generate much smaller structures, of the order of ɑZ /α with α a positive constant potentially very large. In Article 4, we introduce the concept of quantum shear suppression in phase space. The Wigner current features an effective quantum “viscosity”, suppressing classical dynamics fine details. This viscosity is the mechanism by which the Zurek scale is enforced dynamically onto the state in phase space. In Article 5, we apply the previous ideas to Kerr-type oscillators. Its Wigner current is derived, and using it we show that its values are conserved on a ring during the time evolution of the Kerr oscillator. The shear suppression is also studied.

Subjects/Keywords: Quantum; phase; space; theory; theoretical; physics; superoscillations; schrodinger; wigner; function; distribution; negative; probability; viscosity; fluid; mechanics; stagnation; topology; integral; moyal; groenewold; oliva; steuernagel; kakofengitis; feynman; Zurek; Planck; Structures; Scale; trajectory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Oliva, M. (2019). The quantum Wigner current : a geometric approach to quantum dynamics in phase space. (Doctoral Dissertation). University of Hertfordshire. Retrieved from http://hdl.handle.net/2299/22363

Chicago Manual of Style (16^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Doctoral Dissertation, University of Hertfordshire. Accessed January 26, 2021. http://hdl.handle.net/2299/22363.

MLA Handbook (7^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Web. 26 Jan 2021.

Vancouver:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Internet] [Doctoral dissertation]. University of Hertfordshire; 2019. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/2299/22363.

Council of Science Editors:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Doctoral Dissertation]. University of Hertfordshire; 2019. Available from: http://hdl.handle.net/2299/22363

5. Oliva, Maxime. The quantum Wigner current : a geometric approach to quantum dynamics in phase space.

Degree: PhD, 2019, University of Hertfordshire

URL: https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947

► Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when… (more)

▼ Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when it comes to studying chaos theory and statistical mechanics. After the advent of quantum physics early in the 20th century, E. Wigner [91], J. E. Moyal [62] and H. J. Groenewold [31] introduce a quantum theory in phase space. Despite the apparent added complexity of the mathematics involved in this new framework, the underlying classical and quantum equations show many similarities. The probability distribution in classical physics becomes the Wigner distribution, a probability distribution usually featuring negative values. In 2013, O. Steuernagel and D. Kakofengitis, inspired by the work of H. Bauke [7] and E. Wigner [91], identified the quantum analogue of the classical phase space flow: the Wigner current J [83]. This Wigner current allows the visualisation of quantum dynamics through a quantum fluid dynamics perspective in phase space. This thesis is written by collection of five articles. They are prefaced by an introduction into the basics of quantum phase space theory and its link with both classical phase space dynamics and the standard Schrödinger approach, followed by the articles published during this PhD. Article 1 shows the importance of the integral form of the Wigner current. We use it to derive the Ehrenfest’s theorem, as well as to refute some propositions made within the community. Article 2 shows that, using the Wigner current, an Eulerian and Lagrangian point of view do not always give the same results for the quantum case. We demonstrate that the negativities of the Wigner distribution, sign of quantumness of the system, are created by the Wigner velocity field singularities. The Wigner velocity field is the quantum analogue of the classical phase space velocity field. In Article 3, we see that even though Wigner distributions of quantum systems feature spotty structures which saturate on scales ɑZ [97], the construction of a superoscillating Wigner distribution allows one to generate much smaller structures, of the order of ɑZ /α with α a positive constant potentially very large. In Article 4, we introduce the concept of quantum shear suppression in phase space. The Wigner current features an effective quantum “viscosity”, suppressing classical dynamics fine details. This viscosity is the mechanism by which the Zurek scale is enforced dynamically onto the state in phase space. In Article 5, we apply the previous ideas to Kerr-type oscillators. Its Wigner current is derived, and using it we show that its values are conserved on a ring during the time evolution of the Kerr oscillator. The shear suppression is also studied.

Subjects/Keywords: Quantum; phase; space; theory; theoretical; physics; superoscillations; schrodinger; wigner; function; distribution; negative; probability; viscosity; fluid; mechanics; stagnation; topology; integral; moyal; groenewold; oliva; steuernagel; kakofengitis; feynman; Zurek; Planck; Structures; Scale; trajectory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Oliva, M. (2019). The quantum Wigner current : a geometric approach to quantum dynamics in phase space. (Doctoral Dissertation). University of Hertfordshire. Retrieved from https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947

Chicago Manual of Style (16^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Doctoral Dissertation, University of Hertfordshire. Accessed January 26, 2021. https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947.

MLA Handbook (7^th Edition):

Oliva, Maxime. “The quantum Wigner current : a geometric approach to quantum dynamics in phase space.” 2019. Web. 26 Jan 2021.

Vancouver:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Internet] [Doctoral dissertation]. University of Hertfordshire; 2019. [cited 2021 Jan 26]. Available from: https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947.

Council of Science Editors:

Oliva M. The quantum Wigner current : a geometric approach to quantum dynamics in phase space. [Doctoral Dissertation]. University of Hertfordshire; 2019. Available from: https://doi.org/10.18745/th.22363 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.802947

6. Padmanabhan, Pramod. Physics on Noncommutative Spacetimes.

Degree: PhD, 2012, Syracuse University

URL: https://surface.syr.edu/phy_etd/122

► The structure of spacetime at the Planck scale remains a mystery to this date with a lot of insightful attempts to unravel this puzzle.… (more)

▼ The structure of spacetime at the Planck scale remains a mystery to this date with a lot of insightful attempts to unravel this puzzle. One such attempt is the proposition of a `pointless' structure for spacetime at this scale. This is done by studying the geometry of the spacetime through a noncommutative algebra of functions defined on it. We call such spacetimes 'noncommutative spacetimes'. This dissertation probes physics on several such spacetimes. These include compact noncommutative spaces called fuzzy spaces and noncompact spacetimes. The compact examples we look at are the fuzzy sphere and the fuzzy Higg's manifold. The noncompact spacetimes we study are the Groenewold-Moyal plane and the B_xn plane. A broad range of physical effects are studied on these exotic spacetimes. We study spin systems on the fuzzy sphere. The construction of Dirac and chirality operators for an arbitrary spin j is studied on both S^₂/F and S² in detail. We compute the spectrums of the spin 1 and spin 3/2 Dirac operators on S^₂/F. These systems have novel thermodynamical properties which have no higher dimensional analogs, making them interesting models. The fuzzy Higg's manifold is found to exhibit topology change, an important property for any theory attempting to quantize gravity. We study how this change occurs in the classical setting and how quantizing this manifold smoothens the classical conical singularity. We also show the construction of the star product on this manifold using coherent states on the noncommutative algebra describing this noncommutative space. On the Moyal plane we develop the LSZ formulation of scalar quantum field theory. We compute scattering amplitudes and remark on renormalization of this theory. We show that the LSZ formalism is equivalent to the interaction representation formalism for computing scattering amplitudes on the Moyal plane. This result is true for on-shell Green's functions and fails to hold for off-shell Green's functions. With the present technology available, there is a scarcity of experiments which directly involve the Planck scale. However there are interesting low and medium energy experiments which put bounds on the validity of established principles which are thought to be violated at the Planck scale. One such principle is the Pauli principle which is expected to be violated on noncommutative spacetimes. We introduce a noncommutative spacetime called the B_xn plane to show how transitions, not obeying the Pauli principle, occur in atomic systems. On confronting with the data from experiments, we place bounds on the noncommutative parameter. Advisors/Committee Members: Aiyalam P. Balachandran.

Subjects/Keywords: Fuzzy Sphere; Hopf Algebra; Noncommutative Geometry; Planck Scale Physics; Quantum Field Theory; Physics

…gravity. It goes as follows. In order to probe physics at the Planck scale we need a probe whose… …suggesting an energy beyond Planck scale. These come from forbidden processes occuring in neutrino… …as the problem of length(or mass in Planck units) scales and our failure to… …problem occurs at the Planck length lP = G ≈ 1.616252(81) × 10−35 m c3 (1)… …Planck scales become noncommutative was given by Doplicher, Fredenhagen and Roberts [11…

9 more images…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Padmanabhan, P. (2012). Physics on Noncommutative Spacetimes. (Doctoral Dissertation). Syracuse University. Retrieved from https://surface.syr.edu/phy_etd/122

Chicago Manual of Style (16^th Edition):

Padmanabhan, Pramod. “Physics on Noncommutative Spacetimes.” 2012. Doctoral Dissertation, Syracuse University. Accessed January 26, 2021. https://surface.syr.edu/phy_etd/122.

MLA Handbook (7^th Edition):

Padmanabhan, Pramod. “Physics on Noncommutative Spacetimes.” 2012. Web. 26 Jan 2021.

Vancouver:

Padmanabhan P. Physics on Noncommutative Spacetimes. [Internet] [Doctoral dissertation]. Syracuse University; 2012. [cited 2021 Jan 26]. Available from: https://surface.syr.edu/phy_etd/122.

Council of Science Editors:

Padmanabhan P. Physics on Noncommutative Spacetimes. [Doctoral Dissertation]. Syracuse University; 2012. Available from: https://surface.syr.edu/phy_etd/122

University of Waterloo

7. Pye, Jason. On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory.

Degree: 2020, University of Waterloo

URL: http://hdl.handle.net/10012/16427

► It is widely believed that combining the uncertainty principle with gravity will lead to an effective minimum length scale. A particular challenge is to specify… (more)

Subjects/Keywords: quantum field theory; sampling theory; bandlimited quantum field theory; entanglement; entropy; localization; Planck scale; minimum length; generalized uncertainty principle

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Pye, J. (2020). On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/16427

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pye, Jason. “On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory.” 2020. Thesis, University of Waterloo. Accessed January 26, 2021. http://hdl.handle.net/10012/16427.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pye, Jason. “On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory.” 2020. Web. 26 Jan 2021.

Vancouver:

Pye J. On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory. [Internet] [Thesis]. University of Waterloo; 2020. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/10012/16427.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pye J. On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory. [Thesis]. University of Waterloo; 2020. Available from: http://hdl.handle.net/10012/16427

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Brno University of Technology

8. Zembol, Filip. Analýza parametrů infračerveného zobrazení: Analysis of infrared acquisition parameters.

Degree: 2019, Brno University of Technology

URL: http://hdl.handle.net/11012/18522

► The topic of my thesis is the analysis of parameters of the infrared imaging and the use of radiation laws for the formation of a… (more)

Subjects/Keywords: Infračervené záření; koeficient emisivity; koeficient reflexe; koeficient transmise; MATLAB; teplota; spektrální intenzita záření; Stefan-Boltzmannův vyzařovací zákon; Planckův vyzařovací zákon; šedé těleso; absolutně černé těleso; termografická stupnice; termogram; rovnice kvantitativní termografie.; Infrared radiation; emissivity coefficient; reflection coefficient; transmission coefficient; MATLAB; temperature; spectral radiation intensity; Stefan-Boltzmann Radiation Law; Planck Radiation Law; grey body; absolute black body; thermographic scale; thermogram; quantitative thermography equation.

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APA (6^th Edition):

Zembol, F. (2019). Analýza parametrů infračerveného zobrazení: Analysis of infrared acquisition parameters. (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/18522

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zembol, Filip. “Analýza parametrů infračerveného zobrazení: Analysis of infrared acquisition parameters.” 2019. Thesis, Brno University of Technology. Accessed January 26, 2021. http://hdl.handle.net/11012/18522.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zembol, Filip. “Analýza parametrů infračerveného zobrazení: Analysis of infrared acquisition parameters.” 2019. Web. 26 Jan 2021.

Vancouver:

Zembol F. Analýza parametrů infračerveného zobrazení: Analysis of infrared acquisition parameters. [Internet] [Thesis]. Brno University of Technology; 2019. [cited 2021 Jan 26]. Available from: http://hdl.handle.net/11012/18522.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zembol F. Analýza parametrů infračerveného zobrazení: Analysis of infrared acquisition parameters. [Thesis]. Brno University of Technology; 2019. Available from: http://hdl.handle.net/11012/18522

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations