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Relevant bibliographies by topics / Mathematical Principle of Relativity

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Academic literature on the topic 'Mathematical Principle of Relativity'

Author: Grafiati

Published: 12 December 2022

Last updated: 27 January 2023

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Journal articles on the topic "Mathematical Principle of Relativity"

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Eskew, Russell Clark. "Altering the Principle of Relativity." Applied Physics Research 10, no. 3 (2018): 21. http://dx.doi.org/10.5539/apr.v10n3p23.

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A unique hyperbolic geometry paradigm requires altering the Relativistic principle that absolute velocity is unmeasurable. There is no absolute velocity, but in the case where a constant velocity is made from a half-angle velocity, a variable velocity is the same as (absolute) acceleration. Relativity is based on local Lorentz geometry. Our mathematical geometry constructs circle and hyperbola vectors with hyperbolic terms in an original formulation of complex numbers. We use a point on a hyperbola as a frame of reference. A theory is given that time and our velocity are inversely related. The

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Eskew, Russell Clark. "Suspending the Principle of Relativity." Applied Physics Research 8, no. 2 (2016): 82. http://dx.doi.org/10.5539/apr.v8n2p82.

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A unique hyperbolic geometry paradigm requires suspending the Relativistic principle that absolute velocity is unmeasurable. The idea that of two observers each sees the same constant velocity, therefore there is no absolute velocity, is true only because Relativity uses a particular Lorentz geometry. Our mathematical geometry constructs circle and hyperbola vectors with hyperbolic terms in an original formulation of complex numbers. We use a point on a hyperbola as a frame of reference. A theory of time is given. The physical laws of motion by Galileo, Newton and Einstein are forged using the

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de Felice, Fernando, and Giovanni Preti. "A generalized Principle of Relativity." Chaos, Solitons & Fractals 41, no. 3 (2009): 1113–22. http://dx.doi.org/10.1016/j.chaos.2008.04.041.

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Gorbatenko, M. V. "The least action principle in general relativity theory." Theoretical and Mathematical Physics 115, no. 2 (1998): 607–11. http://dx.doi.org/10.1007/bf02575461.

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Escors, David, and Grazyna Kochan. "Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle." Physics 3, no. 3 (2021): 790–98. http://dx.doi.org/10.3390/physics3030049.

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The classical uncertainty principle inequalities are imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle is reformulated in terms of proper space–time length element, Planck length and a geodesic-derived scalar, leading to a geometric expression for the uncertainty principle (GeUP). This re-formulation confirms the need for a minimum length of space–time line element in the geodesic, which depends on a Lorentz-covariant geodesic-derived scalar. In agreement with quantum gravity theories, GeUP imposes a perturbation over the

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Grøn, Øyvind. "The twin paradox and the principle of relativity." Physica Scripta 87, no. 3 (2013): 035004. http://dx.doi.org/10.1088/0031-8949/87/03/035004.

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MADARÁSZ, JUDIT X., GERGELY SZÉKELY, and MIKE STANNETT. "THREE DIFFERENT FORMALISATIONS OF EINSTEIN’S RELATIVITY PRINCIPLE." Review of Symbolic Logic 10, no. 3 (2017): 530–48. http://dx.doi.org/10.1017/s1755020317000065.

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AbstractWe present three natural but distinct formalisations of Einstein’s special principle of relativity, and demonstrate the relationships between them. In particular, we prove that they are logically distinct, but that they can be made equivalent by introducing a small number of additional, intuitively acceptable axioms.

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Krasnobokyi, Yurii, Ihor Tkachenko, and Kateryna Ilnitska. "TO THE METHOD OF STUDYING THE BASICS OF SPECIAL THEORY OF RELATIVITY." Collection of Scientific Papers of Uman State Pedagogical University, no. 2 (June 29, 2022): 166–81. http://dx.doi.org/10.31499/2307-4906.2.2022.262956.

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Special Theory of Relativity (STR) is a fundamental physical theory that underlies modern physics andhas enormous worldview potential. At the same time, in the process of teaching (studying) the elementsof STR in school and higher education institutions face a number of problems. These problems areprimarily related to the complex mathematical apparatus that describes it; consideration of imaginarymodel representations that do not really exist in nature; formation of the concept of “event” anddistinguishing under different initial conditions of the concepts of “relative”, “portable” and“absolut

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Fushchych, Wilhelm, and Vyacheslav Boyko. "Continuity Equation in Nonlinear Quantum Mechanics and the Galilei Relativity Principle." Journal of Nonlinear Mathematical Physics 4, no. 1-2 (1997): 124–28. http://dx.doi.org/10.2991/jnmp.1997.4.1-2.16.

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FRASCA, MARCO. "STRONG COUPLING EXPANSION FOR GENERAL RELATIVITY." International Journal of Modern Physics D 15, no. 09 (2006): 1373–86. http://dx.doi.org/10.1142/s0218271806009091.

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Strong coupling expansion is computed for the Einstein equations in vacuum in the Arnowitt–Deser–Misner (ADM) formalism. The series is given by the duality principle in perturbation theory as presented in M. Frasca, Phys. Rev. A58, 3439 (1998). An example of application is also given for a two-dimensional model of gravity expressed through the Liouville equation showing that the expansion is not trivial and consistent with the exact solution, in agreement with the general analysis. Application to the Einstein equations in vacuum in the ADM formalism shows that the space–time near singularities

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Dissertations / Theses on the topic "Mathematical Principle of Relativity"

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Norgren, Ofelia. "Mathematical Special Relativity." Thesis, Uppsala universitet, Matematiska institutionen, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-435242.

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Abdelfattah, Derhham. "General Relativity and penrose process." Master's thesis, University of Cape Town, 2016. http://hdl.handle.net/11427/28961.

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Sakovich, Anna. "A study of asymptotically hyperbolic manifolds in mathematical relativity." Doctoral thesis, KTH, Matematik (Avd.), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-102874.

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This thesis consists of ve papers where certain problems arising in mathematical relativity are studied in the context of asymptotically hyperbolic manifolds. In Paper A we deal with constant mean curvature solutions of the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds. Conditions on the scalar field and its potential are given which lead to existence and non-existence results. In Paper B we construct non-constant mean curvature solutions of the constraint equations on asymptotically hyperbolic manifolds. Our approach consists in decreasing a certain exponen

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Le, Treust Loïc. "Méthodes variationnelles et topologiques pour l'étude de modèles non liénaires issus de la mécanique relativiste." Phd thesis, Université Paris Dauphine - Paris IX, 2013. http://tel.archives-ouvertes.fr/tel-00908953.

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Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.Dans la première partie, nous démontrons à l'aide d'une méthode de tir l'existence d'une infinité de solutions d'équations de Dirac non linéaires provenant d'un modèle de hadrons et d'un modèle de la physique des noyaux.Dans la seconde partie, nous prouvons par des méthodes variationnelles l'existence d'un état fondamental et d'états excités pour deux modèles de la physique des hadrons. Par la suite, nous étudions la transition de phase reliant les deux modèles grâce à la Gamma-convergence.La der

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Perrucci, Italo. "Minimal length scale and generalized uncertainty principle." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2022. http://amslaurea.unibo.it/25246/.

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L’esistenza di una lunghezza minima, dell’ordine della lunghezza di Planck lP l = 1.6 × 10−35 m, pone un limite alla piccolezza delle distanze che possiamo misurare. Tale lunghezza minima può essere ottenuta con una modificazione del principio di indeterminazione di Heisenberg in un principio di indeterminazione generalizzato (generalized uncertainty principle o GUP). In ciò che segue, dapprima vengono analizzate le diverse motivazioni che suggeriscono l’esistenza di una lunghezza minima: esperimenti mentali, geometria non-commutativa, teorie della gravità quantistica. Successivamente vi

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Andersson, Daniel. "Contributions to the Stochastic Maximum Principle." Doctoral thesis, KTH, Matematik (Avd.), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-11301.

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This thesis consists of four papers treating the maximum principle for stochastic control problems. In the first paper we study the optimal control of a class of stochastic differential equations (SDEs) of mean-field type, where the coefficients are allowed to depend on the law of the process. Moreover, the cost functional of the control problem may also depend on the law of the process. Necessary and sufficient conditions for optimality are derived in the form of a maximum principle, which is also applied to solve the mean-variance portfolio problem. In the second paper, we study the problem

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Mantke, Wolfgang Johann. "Picture independent quantum action principle." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/29850.

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Warwick, Andrew Charles. "The electrodynamics of moving bodies and the principle of relativity in British physics, 1894-1919." Thesis, University of Cambridge, 1989. https://www.repository.cam.ac.uk/handle/1810/272616.

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Sbierski, Jan. "On the initial value problem in general relativity and wave propagation in black-hole spacetimes." Thesis, University of Cambridge, 2014. https://www.repository.cam.ac.uk/handle/1810/248837.

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The first part of this thesis is concerned with the question of global uniqueness of solutions to the initial value problem in general relativity. In 1969, Choquet-Bruhat and Geroch proved, that in the class of globally hyperbolic Cauchy developments, there is a unique maximal Cauchy development. The original proof, however, has the peculiar feature that it appeals to Zorn’s lemma in order to guarantee the existence of this maximal development; in particular, the proof is not constructive. In the first part of this thesis we give a proof of the above mentioned theorem that avoids the use of Zo

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Warren, Patricia F. "A mathematical model of knee kinematics utilizing the principle of minimum energy." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1998. http://handle.dtic.mil/100.2/ADA351258.

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Thesis (M.S. in Applied Physics) Naval Postgraduate School, June 1998.<br>Thesis advisor(s): Young L. Kwon, William B. Maier. "June 1998." Includes bibliographical references (p. 65). Also available online.

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Books on the topic "Mathematical Principle of Relativity"

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Ch, Erdeni. Principia mathematica: Essays on mathematical natural philosophy constituting the absolute geometry of space-time and matter & discovering the absolute method of calculus in classical pure mathematics. Anno MMIY, 2003.

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Barton, Gabriel. Introduction to the relativity principle. John Wiley, 1999.

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Whitehead, Alfred North. Principle of relativity: With applications to physical science. Cambridge Univ Press, 2011.

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Whitehead, Alfred North. The principle of relativity with applications to physical science. Dover Publications, 2004.

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Natário, José. An Introduction to Mathematical Relativity. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-65683-6.

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Boskoff, Wladimir-Georges, and Salvatore Capozziello. A Mathematical Journey to Relativity. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47894-0.

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Mathematical problems of general relativity theory. European Mathematical Society, 2008.

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Berger, James O. The likelihood principle. 2nd ed. Institute of Mathematical Statistics, 1988.

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1901-, Copson E. T., ed. The mathematical theory of Huygens' principle. 3rd ed. Chelsea Pub. Co., 1987.

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Introductory special relativity. Taylor & Francis, 1991.

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Book chapters on the topic "Mathematical Principle of Relativity"

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Pezzaglia, William M. "Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle." In Clifford Algebras and Their Application in Mathematical Physics. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5036-1_25.

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Mould, Richard A. "Principle of Relativity." In Basic Relativity. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4326-7_1.

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Schmitz, Wouter. "The Equivalence Principle." In Understanding Relativity. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-17219-9_7.

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Günther, Helmut, and Volker Müller. "The Relativity Principle." In The Special Theory of Relativity. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-7783-9_2.

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Rafelski, Johann. "Variational Principle for EM-Fields." In Relativity Matters. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51231-0_27.

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Mould, Richard A. "Mathematical Tools." In Basic Relativity. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4326-7_4.

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Tsamparlis, Michael. "Mathematical Part." In Special Relativity. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03837-2_1.

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Tsamparlis, Michael. "Mathematical Part." In Special Relativity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27347-7_1.

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Fischer, Kurt. "Equivalence Principle in Action." In Relativity for Everyone. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00587-4_6.

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Krantz, Steven G., and Harold R. Parks. "Special Relativity." In A Mathematical Odyssey. Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-8939-9_7.

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Conference papers on the topic "Mathematical Principle of Relativity"

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MATVEJEV, OLEG V., and VADIM N. MATVEEV. "Explicit and Implicit Uncertainties and the Uncertainty Principle in the Special Theory of Relativity." In Proceedings of the 8th Symposium Honoring Mathematical Physicist Jean-Pierre Vigier. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814504782_0009.

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Camacho, A., Arturo Camacho–Guardia, Kerstin E. Kunze, Marc Mars, and Miguel Angel Vázquez-Mozo. "Quantal Definition of the Weak Equivalence Principle." In PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP, 2009. http://dx.doi.org/10.1063/1.3141260.

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Shao, Ziyi, Xuehui Zhang, Xing Wang, Yangli Zhu, Wen Li, and Haisheng Chen. "Physical Quantity Synergy in the Internal Flow Field and Application in Radial-Inflow Turbines." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16097.

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Abstract The internal flow field and loss distributions are quite complicated in the radial-inflow turbine. It is necessary to reinforce physical understandings of the relationship between the flow and loss. Inspired by the synergy principle in the convective heat transfer, the synergy applicable for the radial turbine is innovatively derived from the Navier-Stokes equations. According to the mathematical expression, the smaller the synergy angle is, the higher flow resistance and loss should be. The paper attempts to assess the validation of the synergy principle in the radial turbine based o

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Cai, Tianyi, and Theodor Freiheit. "Lean Value Creation in the Product Development Process With the Principle of Set Based Concurrent Engineering." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48693.

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Lean value creation requires a value-adding network of lean activities across the whole Product Development Process (PDP). Management needs to allocate resources and properly control the process to create the value that stakeholders desire. Leading companies in industry have successfully applied Set-Based Concurrent Engineering (SBCE) for lean PDP. In SBCE, designers propose several feasible solutions and develop them relatively independently and in parallel, and then gradually narrow the sets of solutions based on updated project feedback at each stage-gate design review. As an important lean

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CHRUŚCIEL, PIOTR T. "RECENT RESULTS IN MATHEMATICAL RELATIVITY." In Proceedings of the 17th International Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701688_0005.

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Chamorro, Alberto. "The principle of general covariance has physical content." In A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP, 2006. http://dx.doi.org/10.1063/1.2218181.

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Mastinu, G., M. Gobbi, and M. Mimini. "A Parameter Identification Method for Road Accidents Reconstruction." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-43016.

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The paper deals with the mathematical reconstruction of road accidents. Often, many of the relevant parameters for an accurate simulation are not known. The aim of the paper is to introduce and validate a new method to identify these (many) relevant parameters, such as exact impact location, tyre-road friction, ... The velocity of the two vehicles before the impact are computed by applying the principle of conservation of momentum and angular momentum and by estimating the kinetic energy losses. The identification process is based on a Global Approximation technique. Up to 17 numerical values

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TAMANINI, NICOLA. "THE BICONNECTION VARIATIONAL PRINCIPLE FOR GENERAL RELATIVITY." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0313.

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Vaz, E. G. L. R. "Mathematical Properties of the Elasticity Difference Tensor." In A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP, 2006. http://dx.doi.org/10.1063/1.2218255.

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Huang, Hongwei, Tingting Liu, and Limin Sun. "Semi-active Control of Cable Vibration Using MR Damper under Wind Loads." In IABSE Congress, Nanjing 2022: Bridges and Structures: Connection, Integration and Harmonisation. International Association for Bridge and Structural Engineering (IABSE), 2022. http://dx.doi.org/10.2749/nanjing.2022.1200.

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<p>One of the most effective countermeasures for mitigating cable vibration is to install mechanical dampers near the anchorage of the cable. The parameters of passive dampers are usually determined based on the optimal damper force obtained from the universal design curve for linear dampers, which is chosen based on a predetermined principle vibration mode. Passive dampers will be most effective if cable undergoes single-mode vibration where the vibration mode is the same as the principle mode used in the design. However, in the actual engineering practice, multi-mode vibrations are oft

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Reports on the topic "Mathematical Principle of Relativity"

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Saptsin, Vladimir, and Володимир Миколайович Соловйов. Relativistic quantum econophysics – new paradigms in complex systems modelling. [б.в.], 2009. http://dx.doi.org/10.31812/0564/1134.

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This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is oﬀered. Classical physics proceeds from the hypothesis that immediate values of all the physical quantities, characterizing system’s state, exist and can be accurately measured in principle. Non-relativistic quantum mechanics does not reject the existence of the immediate values of the classical physical quantities, nevertheless not each of them can be simultaneously measured (the uncertainty principle

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Makowitz, H. Galileo's relativity principle, the concept of pressure, and complex characteristics, for the six-equation, one-pressure model. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/7121614.

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Makowitz, H. Galileo`s relativity principle, the concept of pressure, and complex characteristics, for the six-equation, one-pressure model. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/10115370.

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Saptsin, V., Володимир Миколайович Соловйов, and I. Stratychuk. Quantum econophysics – problems and new conceptions. КНУТД, 2012. http://dx.doi.org/10.31812/0564/1185.

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This article is dedicated to the econophysical analysis of conceptual fundamentals and mathematical apparatus of classical physics, relativity theory, non-relativistic and relativistic quantum mechanics. The historical and methodological aspects as well as the modern state of the problem of the socio-economic modeling are considered.

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Lohne, Arild, Arne Stavland, Siv Marie Åsen, Olav Aursjø, and Aksel Hiorth. Recommended polymer workflow: Interpretation and parameter identification. University of Stavanger, 2021. http://dx.doi.org/10.31265/usps.202.

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Injecting a polymer solution into a porous medium significantly increases the modeling complexity, compared to model a polymer bulk solution. Even if the polymer solution is injected at a constant rate into the porous medium, the polymers experience different flow regimes in each pore and pore throat. The main challenge is to assign a macroscopic porous media “viscosity” to the fluid which can be used in Darcy law to get the correct relationship between the injection rate and pressure drop. One can achieve this by simply tabulating experimental results (e.g., injection rate vs pressure drop).

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Perdigão, Rui A. P. Beyond Quantum Security with Emerging Pathways in Information Physics and Complexity. Synergistic Manifolds, 2022. http://dx.doi.org/10.46337/220602.

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Information security and associated vulnerabilities have long been a pressing challenge, from the fundamental scientific backstage to the frontline across the most diverse sectors of society. At the tip of the iceberg of this problem, the citizens immediately feel that the reservation of privacy and the degradation of the quality and security of the information and communication on which they depend for the day-to-day activities, already of crucial relevance, are at stake. Naturally though, the challenges do not end there. There is a whole infrastructure for storing information, processing and

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Incongruity between biological and chronologic age among the pupils of sports schools and the problem of group lessons effectiveness at the initial stage of training in Greco-Roman wrestling. Aleksandr S. Kuznetsov, 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-19-23.

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Considerable influence and compulsory dropout among those, who go in for GrecoRoman wrestling at the age of 10-13, does not take into account the level of individual biological development and integral demands domination claimed on too high general physical training (GPT) (4) normatives fulfillment. It corresponds with general situation in the system of education (6, 9). In spite of uneven speed of biological development (1, 8, 9), there are general demands claimed on physical training at school for age groups (5) in accordance with chronologic age. The same situation is at sports schools. Tec

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