{"title":"Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. II. Deformation Parameter","authors":"A. E.Shalyt-Margolin","doi":"10.5923/J.IJTMP.20120203.04","DOIUrl":"https://doi.org/10.5923/J.IJTMP.20120203.04","url":null,"abstract":"The principal objective of this paper is to show that deformation of the General Relativity within the scope of both the Generalized Uncertainty Principle (UV-cutoff) and the Extended Uncertainty Principle (IR-cutoff) in the cases when the corresponding gravitational equations have a thermodynamic interpretation may be studied in terms of a small parameter introduced in previous works of the author. From this viewpoint the parameter is though to be universal. Consideration is given to the possibility for extension of the obtained results to more general cases. Possible generalization of the uncertainty relation for the pair (cosmological constant, \"space-time volume\"), where the cosmological constant is regarded as a dynamic quantity at high and low energies, is analyzed. This paper is devoted to the 70-th Anniversary of Professor Nikolai Maksi- movich Shumeiko, Director of the Belarusian Particles and High Energy Physics National Centre.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133036225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Fundamental Importance of Discourse in Theoretical Physics","authors":"P. Fellman, J. Post, Christine Carmichael","doi":"10.5923/J.IJTMP.20120205.04","DOIUrl":"https://doi.org/10.5923/J.IJTMP.20120205.04","url":null,"abstract":"The purpose of the fo llo wing paper is to demonstrate that the \"limits of physics\" are in a very important way determined by the conceptual framework and language of discourse that we use to describe physical reality. In this paper we examine three areas where the structure of d iscourse has been particularly d ifficu lt. In this regard we examine three problems, the problem of t ime (which is discussed in two sections of the paper), the problem of non-locality in quantum mechanics and some related general difficult ies of interpretation specific to the Copenhagen school, and the concept of maximality as it is emp loyed with respect to cosmic inflat ion in general relativ ity and quantum cosmology.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126928640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of Lagrange Mechanics for Analysis of the Light-Like Particle Motion in Pseudo-Riemann Space","authors":"W. Belayev","doi":"10.5923/J.IJTMP.20120202.03","DOIUrl":"https://doi.org/10.5923/J.IJTMP.20120202.03","url":null,"abstract":"Center for Relativity and Astrophysics, 185 Box, 194358, Saint-Petersburg, Russia Abstract We consider variation of energy of the light-like particle in the pseudo-Riemann space-time, find lagrangian, canonical momenta and forces. Equations of the critical curve are obtained by the nonzero energy integral variation in ac- cordance with principles of the calculus of variations in mechanics. This method is compared with the Fermat's principle for the stationary gravity field. The produced equations are solved for the metrics of Schwarzschild, FLRW model for the flat space and Godel. For these spaces effective mass of light-like particle is established. Relativistic analogue of inertial mass for photon is determined in central gravity field in empty space.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130838362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Space, Time and Machines","authors":"A. Annila","doi":"10.5923/j.ijtmp.20120203.01","DOIUrl":"https://doi.org/10.5923/j.ijtmp.20120203.01","url":null,"abstract":"The 2nd law of thermodynamics is used to shed light on present-day puzzles in cosmology. The universal law, given as an equation of motion, describes diverse systems when consuming free energy via various mechanisms to attain stationary states in their respective surroundings. Expansion of the Universe, galactic rotation and lensing as well as clus- tering of red-shifted spectral lines are found as natural consequences of the maximal energy dispersal that satisfies the con- servation of energy, in the forms of kinetic, potential and dissipation. The Universe in its entirety is pictured as a giant Riemann resonator in evolution via step-by-step spontaneous breaking of one stationary-state symmetry to another to di- minish energy density differences relative to its zero-density \"surroundings\". The continuum equation of evolution is proven equivalent to the Navier-Stokes equation. The ubiquitous flow equation has no solution because the forces and flows are inseparable when the dissipative process has three or more degrees of freedom. Since an evolving system is without a norm, there is no unitary transformation to solve the characteristic equation, but detailed trajectories remain in- herently intractable. Conversely, stationary-state trajectories can be solved.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129455486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Regularization for the Zeta Functions with Physical Applications II","authors":"M. Fujimoto, Kunihiko Uehara","doi":"10.5923/J.IJTMP.20120205.06","DOIUrl":"https://doi.org/10.5923/J.IJTMP.20120205.06","url":null,"abstract":"We have proposed a regularization technique and applied it to the Eu ler product of the zeta functions in the part one. In this paper that is the second part of the trilogy, we aim the nature of the non-trivial zero for the Riemann zeta function which gives us another evidence to demonstrate the Riemann hypotheses by way of the approximate functional equation.Some other results on the critical line are p resented using the relations between the Euler product and the deformed summation representations in the critical strip. We also discuss a set of equations which yields the primes and the zeros of the zeta functions. In part three, we will focus on physical applicat ions using these outcomes.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2007-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132789849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Assumptions in Quantum Mechanics","authors":"Subhendu K. Das","doi":"10.6084/M9.FIGSHARE.1032358.V1","DOIUrl":"https://doi.org/10.6084/M9.FIGSHARE.1032358.V1","url":null,"abstract":"This is a multi-disciplinary paper. It borro ws ideas from mathemat ics, engineering software, and digital communicat ion engineering. Uncertainty principle is at the foundation of quantum mechanics. (A) It is well known that this principle is a consequence of Fourier transform (FT). The FT is based on infinity assumption. As infinity is not realistic and mean ingful in nature, and in engineering, we show that replacing in fin ity by any finite value changes the lower bound of the uncertainty principle to any desired accuracy number. (B) The paper points out, that uncertainty principle vio lates a very fundamental and well known concept in mathematics: the infinite d imensionality property of functions over finite intervals. (C) It is important to realize that no engineering experiment can prove any theory. Engineering is created out of objects of nature. Nature does not and cannot make any assumptions. Thus all engineering experimental setups will auto matically eliminate all assumptions from all theories. To establish this obvious and logical fact, we discuss many laws of nature, which modern microprocessor based engineering systems implement. Therefore it is not possible to prove uncertainty principle by any physical experiment, because the principle has many assumptions. (D) We exp lore several published proofs of uncertainty principle, including Heisenberg's and Operator theoretic, and analyze the assumptions behind them to show that this theory cannot be a law of nature. The paper ignores the relativistic effects.","PeriodicalId":415446,"journal":{"name":"International Journal of Theoretical and Mathematical Physics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117168303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}