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Various approximate solutions in wave equation for cord under non-gravitational field 非引力场作用下弦波方程的各种近似解
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/astp.2019.91038
Toru Shimizu, K. Nakayama
{"title":"Various approximate solutions in wave equation for cord under non-gravitational field","authors":"Toru Shimizu, K. Nakayama","doi":"10.12988/astp.2019.91038","DOIUrl":"https://doi.org/10.12988/astp.2019.91038","url":null,"abstract":"A wave equation for a cord (thin rope) that describes waves propagating on a cord under the non-gravitational field was derived in a previous paper when a tension T of a cord is constant. And, it was found that this wave equation has a unimodal solitary wave solution or a periodic sine wave solution when its amplitude is sufficiently small. The present paper is a sequel to the previous paper and here n -th power of the former wave solution or (2 n − 1)-th power of the latter wave solution is found to be also an approximate solution of the wave equation for the cord. This time it is made clear that the wave equation has a kink or anti-kink wave solution. Moreover, stabilities of these approximate wave solutions are investigated. As a last argument, collisions between kink · kink or kink · anti-kink waves are studied and their appearances are plotted.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"54 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":"116904640","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}
引用次数: 9
H-atom energy spectrum in open RW space time via approximated "curved" Coulomb potential 通过近似“弯曲”库仑势在开放RW时空中的h原子能谱
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/astp.2022.91839
A. Zecca
{"title":"H-atom energy spectrum in open RW space time via approximated \"curved\" Coulomb potential","authors":"A. Zecca","doi":"10.12988/astp.2022.91839","DOIUrl":"https://doi.org/10.12988/astp.2022.91839","url":null,"abstract":"The Dirac equation with approximated “curved” Coulomb potential is studied in open Robertson Walker space-time by the NewmanPenrose formalism. Under suitable approximations on both the cosmological background and short range of the action of the potential, the confined solutions of the Dirac equation are exactly determined. By a Schrôdinger like quantization assumption they are interpreted to describe the Hydrogen atom. The corresponding discrete energy spectrum is determined.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"25 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":"123712280","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}
引用次数: 1
What the covariant and ordinary divergences of the tensors in Einstein's field equation tell about Newton's apple when it hits the ground 爱因斯坦场方程中张量的协变散度和常散度告诉我们牛顿的苹果落地时的情况
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/astp.2022.91901
A. Trupp
{"title":"What the covariant and ordinary divergences of the tensors in Einstein's field equation tell about Newton's apple when it hits the ground","authors":"A. Trupp","doi":"10.12988/astp.2022.91901","DOIUrl":"https://doi.org/10.12988/astp.2022.91901","url":null,"abstract":"The covariant divergence of each tensor in Einstein’s field equation is zero as a mathematical necessity (and hence as a tacit presupposition), whereas the ordinary divergence is not necessarily so. The principle of energy conservation is thus observed in Einstein’s field equation, but only if all kinetic energies obtained by gravitational accelerations (and hence by “forces” which are no real forces) are thrown out. This leads to an apparent dilemma for the principle of energy conservation when Newton’s apple hits the ground, where the kinetic energy generated by gravitational acceleration converts into thermal energy and can thus no longer be disregarded. The dilemma can be solved. The solution sheds light on the disputed hypothesis according to which the gravitational field does not carry any energy at all. It also provides a surprising insight into the nature of dark energy – not as a result of speculations, but as a mathematical consequence of the covariant divergence of all tensors in Einstein’s field equation being zero. In addition, the solution sheds light on the disputed concept of the world as a spatially four-(or more) dimensional brane.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"272 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":"121957282","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}
引用次数: 1
A more or less well behaved quantum gravity Lagrangean in dimension 4 一个或多或少表现良好的4维量子引力拉格朗日量
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/astp.2013.13004
E. Dhrif
{"title":"A more or less well behaved quantum gravity Lagrangean in dimension 4","authors":"E. Dhrif","doi":"10.12988/astp.2013.13004","DOIUrl":"https://doi.org/10.12988/astp.2013.13004","url":null,"abstract":"In this article we try to give a simple Quantum Gravity Lagrangean that behaves quite well. Feynman calculus for unpolarized crosssections, and the diagrams involved, behave good. The action is renormalizable by dimension counting. It implies standard Einstein gravity for a massless graviton. Further investigations have to be done. 1. A More or Less Well Behaved Quantum Gravity Lagrangean in Dimension 4? Note the identity 1 D/ 2 = +R/ = +Rab [Γ,Γ] 4 using the Dirac or Clifford Algebra representation Γ = θ + θ∗a [θ] a ON basis on the tangent space Tp(X) over a point p and [θ ∗a] a raised ON basis on the cotangent space T ∗ p (X) over the same point p, just like in the notation of E. Cartan, who wrote the metric g in terms of the veilbeins eμ = θ a μ as gμν = e a μδabe b ν , δab the Kronecker delta, and We sometimes suppress a minus-sign or a imaginary unit i in the following. 58 E.B. Torbrand Dhrif D/ = Γ(∂μ + ωμ + Aμ) = Γ ∇a Γ = eμΓ . We thus also conclude θ∗D/ θ = θ∗( +R/ )θ = θ∗ θ +R with R the Ricci scalar. Here θ is the graviton or vierbein. Here we have suppressed a term, including a coupling constant, 16πG. Notice that this is the Hilbert-Einstein action SGravity,Einstein = ∫","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"57 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":"116817436","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}
引用次数: 1
Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system 脉冲电路的单向同步及其在保密通信系统中的应用
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/ASTP.2015.5229
A. Sambas, M. Mamat, W. S. M. Sanjaya, Z. Salleh, F. Mohamad
{"title":"Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system","authors":"A. Sambas, M. Mamat, W. S. M. Sanjaya, Z. Salleh, F. Mohamad","doi":"10.12988/ASTP.2015.5229","DOIUrl":"https://doi.org/10.12988/ASTP.2015.5229","url":null,"abstract":"Information is masked by chaotic signals at the transmitter, and then sent to the receiver by the public channel. Finally the encrypted signals are decrypted at the receiver. In this scheme, the key issue is that the two identical chaos generators in the transmitter end and the receiver end need to be synchronized. In this paper, in order to show some interesting phenomena of three dimensional autonomous ordinary differential equations, the chaotic behavior as a function of a variable control parameter, has been studied. The initial study in this paper is to analyze the phase portraits, the Lyapunov exponents, the Poincaré maps and the bifurcation diagrams. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the unidirectional coupling scheme between two identical Jerk circuits in a secure 546 Aceng Sambas et al. communication system is presented in details. Finally, the simulation and the experimental results are shown to demonstrate that the proposed method is correct and feasible","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"48 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":"116856232","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}
引用次数: 1
Variation of potential surface inclination and bound state creation induced by laser phase along the reaction path in ion-molecule reactions: application to Na++CH4 离子-分子反应中激光相位诱导的电位表面倾斜度变化和束缚态产生:在Na++CH4中的应用
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/ASTP.2021.91546
H. Talaat, El-Wallid S. Sedik, M. T. E. Kamal
{"title":"Variation of potential surface inclination and bound state creation induced by laser phase along the reaction path in ion-molecule reactions: application to Na++CH4","authors":"H. Talaat, El-Wallid S. Sedik, M. T. E. Kamal","doi":"10.12988/ASTP.2021.91546","DOIUrl":"https://doi.org/10.12988/ASTP.2021.91546","url":null,"abstract":"Laser ion-molecule reaction interaction through both polarizability and dipole moment contribution leads to intersection in potential energy surface along the reaction path, polarizability is maximum at (s=4.5 a.u.) and dipole changes at (s=1 a.u.) defining a virtual transition state. We will show here by using gauge representation for wave length λ=20.6μm, Intensity I=5×10 W/cm till I=5×10 W/cm, that the laser induced potential energy surface can decrease in height along the reaction path with possibility of creating bound states in the virtual transition state. We illustrate such effects for the Na H + CH3 +  Na + CH4 reaction which takes the form of inverted Morse (without a barrier) using ab-initio methods for calculating the reaction path, electric properties of the ion-molecule reaction. 188 Hassan Talaat, El-Wallid S. Sedik and M. Tag El-Din Kamal","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"15 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":"117116706","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}
引用次数: 0
A Simple Way for Obtaining the Expression for the Entropy of Fluid III. The Mean Spherical Approximation 流体熵表达式的一种简便方法III。平均球面近似
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/ASTP.2013.3548
V. Filippov, A. Yuryev, N. Dubinin
{"title":"A Simple Way for Obtaining the Expression for the Entropy of Fluid III. The Mean Spherical Approximation","authors":"V. Filippov, A. Yuryev, N. Dubinin","doi":"10.12988/ASTP.2013.3548","DOIUrl":"https://doi.org/10.12988/ASTP.2013.3548","url":null,"abstract":"The more simple technique is used to obtain the analytical expression of the entropy for the square-well fluid in the mean spherical approximation.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"2 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":"117128458","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}
引用次数: 0
A spin field interacting with gravity in RW space-time cannot have a "standard-like" form 在RW时空中与引力相互作用的自旋场不可能具有“类标准”形式
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/ASTP.2018.71262
A. Zecca
{"title":"A spin field interacting with gravity in RW space-time cannot have a \"standard-like\" form","authors":"A. Zecca","doi":"10.12988/ASTP.2018.71262","DOIUrl":"https://doi.org/10.12988/ASTP.2018.71262","url":null,"abstract":"It is shown that if the Einstein field equation is coupled to the massive spinor field equation of spin s > 1/2, then the spin field cannot have the form of a standard solution nor to be superposition of standard solutions in Robertson Walker space-time. For standard solutions are meant the wide class of solutions of the spinor field equations previously determined by variable separation in RW space-time. The result is an extension to the fermion field case of a similar result previously obtained for massive bosons and for the Einstein-Dirac equation in RW space time.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"992 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120862535","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}
引用次数: 4
Deriving quantised inertia using horizon-widths in the uncertainty principle 利用测不准原理中的视界宽度推导量子化惯性
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/astp.2020.9416
M. McCulloch, J. Giné
{"title":"Deriving quantised inertia using horizon-widths in the uncertainty principle","authors":"M. McCulloch, J. Giné","doi":"10.12988/astp.2020.9416","DOIUrl":"https://doi.org/10.12988/astp.2020.9416","url":null,"abstract":"In this paper we show that a model for inertial mass (quantised inertia) can be derived exactly and simply by assuming that the property of inertia is caused by gradients in the energy in the Unruh radiation field seen by a object, and that this energy is determined by the uncertainty principle, with the uncertainty in position being given by the width of the Rindler horizons seen by the object. This is then an alternative derivation for quantised inertia which predicts galaxy rotation without dark matter. It is also shown that quantised inertia predicts an expression close to the simple empirical interpolation function used in MoND.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"18 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120865915","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}
引用次数: 3
SMBH relativistic mass and missing dark matter SMBH相对论质量和缺失的暗物质
Advanced Studies in Theoretical Physics Pub Date : 1900-01-01 DOI: 10.12988/astp.2022.91963
Niko Gorjup, A. Šorli
{"title":"SMBH relativistic mass and missing dark matter","authors":"Niko Gorjup, A. Šorli","doi":"10.12988/astp.2022.91963","DOIUrl":"https://doi.org/10.12988/astp.2022.91963","url":null,"abstract":"The extremely high angular velocity of some SMBHs is the origin of their relativistic rotational energy that results in their relativistic mass. The relativistic mass of SMBHs increases their gravity, which is a partial answer to the missing dark matter.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"279 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":"125854473","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}
引用次数: 2
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