arXiv: General Physics最新文献_第8页

Sobolev Spaces, Schwartz Spaces, and a definition of the Electromagnetic and Gravitational coupling Sobolev空间，Schwartz空间，以及电磁和引力耦合的定义

arXiv: General Physics Pub Date : 2017-09-06 DOI: 10.4236/jmp.2017.810100

J. Montillet

{"title":"Sobolev Spaces, Schwartz Spaces, and a definition of the Electromagnetic and Gravitational coupling","authors":"J. Montillet","doi":"10.4236/jmp.2017.810100","DOIUrl":"https://doi.org/10.4236/jmp.2017.810100","url":null,"abstract":"The concept of \"multiplicity of solutions\" was developed in arXiv:1509.02603v2 which is based on the theory of energy operators in the Schwartz space S^-(R) and some subspaces called energy spaces first defined in arXiv:1208.3385 and arXiv:1308.0874. The main idea is to look for solutions of a given linear PDE in those subspaces. Here, this work extends previous developments in S^-(R^m) (m in Z^+) using the theory of Sobolev spaces, and in a special case the Hilbert spaces. Furthermore, we also define the concept of \"Energy Parallax\", which is the inclusion of additional solutions when varying the energy of a predefined system locally by taking into account additional smaller quantities. We show that it is equivalent to take into account solutions in other energy subspaces. To illustrate the theory, one of our examples is based on the variation of ElectroMagnetic (EM) energy density within the skin depth of a conductive material, leading to take into account derivatives of EM evanescent waves, particular solutions of the wave equation. The last example is the derivation of the Woodward effect with the variations of the EM energy density under strict assumptions in general relativity. It finally leads to a theoretical definition of an electromagnetic and gravitational (EMG) coupling.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"4 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115727924","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

Two Approaches to Measurability Concept and Quantum Theory 可测性概念和量子理论的两种途径

arXiv: General Physics Pub Date : 2017-09-01 DOI: 10.12988/ASTP.2017.7731

A. Shalyt-Margolin

引用次数: 1

$f(T)$ gravity and energy distribution in Landau-Lifshitz prescription $f(T)$ Landau-Lifshitz处方中的重力和能量分布

arXiv: General Physics Pub Date : 2017-08-29 DOI: 10.1142/S0218271818500396

M. Ganiou, M. Houndjo, J. Tossa

引用次数: 9

Double Hodge Theory for a particle on Torus 环面上粒子的双霍奇理论

arXiv: General Physics Pub Date : 2017-08-19 DOI: 10.1155/2017/6124189

V. Pandey, B. Mandal

引用次数: 1

Magnetic Charge and Photon Mass: Physical String Singularities, Dirac Condition, and Magnetic Confinement 磁荷与光子质量:物理弦奇点、狄拉克条件与磁约束

arXiv: General Physics Pub Date : 2017-08-11 DOI: 10.1142/S0217751X18500641

Timothy J. Evans, D. Singleton

引用次数: 0

Energy Bounds in $f(R,G)$ Gravity with Anisotropic Background 具有各向异性背景的$f(R,G)$重力中的能量界

arXiv: General Physics Pub Date : 2017-08-07 DOI: 10.1142/S0219887817501699

M. Shamir, Ayesha Komal

引用次数: 10

Revealing how different spinors can be: the Lounesto spinor classification 揭示不同的旋量:Lounesto旋量分类

arXiv: General Physics Pub Date : 2017-08-03 DOI: 10.1142/S0217732317300324

J. M. H. Silva, R. T. Cavalcanti

引用次数: 49

Snyder Like Modified Gravity in Newton's Spacetime Snyder喜欢牛顿时空中的修正引力

arXiv: General Physics Pub Date : 2017-07-25 DOI: 10.1142/S0218271818500700

C. Leiva

引用次数: 0

Introduction to the Quantum Theory of Elementary Cycles 基本循环的量子理论导论

arXiv: General Physics Pub Date : 2017-07-03 DOI: 10.1142/9781783268320_0005

D. Dolce

{"title":"Introduction to the Quantum Theory of Elementary Cycles","authors":"D. Dolce","doi":"10.1142/9781783268320_0005","DOIUrl":"https://doi.org/10.1142/9781783268320_0005","url":null,"abstract":"Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic physics. Here we introduce its basic quantum aspects. On one hand, Newton's law of inertia states that every isolated particle has persistent motion, i.e. constant energy and momentum. On the other hand, the wave-particle duality associates a space-time recurrence to the elementary particle energy-momentum. Paraphrasing these two fundamental principles, Elementary Cycles Theory postulates that every isolated elementary constituent of nature (every elementary particle) must be characterized by persistent intrinsic space-time periodicity. Elementary particles are the elementary reference clocks of Nature. The space-time periodicity is determined by the kinematical state (energy and momentum), so that interactions imply modulations, and every system is decomposable in terms of modulated elementary cycles. Undulatory mechanics is imposed as constraint \"overdetermining\" relativistic mechanics, similarly to Einstein's proposal of unification. Surprisingly this mathematically proves that the unification of quantum and relativistic physics is fully achieved by imposing an intrinsically cyclic (or compact) nature for relativistic space-time coordinates. In particular the Minkowskian time must be cyclic. The resulting classical mechanics are in fact fully consistent with relativity and reproduces all the fundamental aspects of quantum-relativistic mechanics without explicit quantization. This \"overdetermination\" just enforces both the local nature of relativistic space-time and the wave-particle duality. It also implies a fully geometrodynamical formulation of gauge interactions which, similarly to gravity and general relativity, is inferred as modulations of the elementary space-time clocks. This brings novel elements to address most of the fundamental open problems of modern physics.","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134077546","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: 13

Evolving statistical systems: application to academic courses 发展中的统计系统:在学术课程中的应用

arXiv: General Physics Pub Date : 2017-06-07 DOI: 10.12988/AMS.2017.7129

R. Caimmi

{"title":"Evolving statistical systems: application to academic courses","authors":"R. Caimmi","doi":"10.12988/AMS.2017.7129","DOIUrl":"https://doi.org/10.12988/AMS.2017.7129","url":null,"abstract":"Statistical systems are conceived from the standpoint of statistical mechanics, as made of a (generally large) number of identical units and exhibiting a (generally large) number of different configurations (microstates), among which only equivalence classes (macrostates) are accessible to observations. Further attention is devoted to evolving statistical systems, and a simple case including only a possible event, E, and related opposite event, $neg$E, is examined in detail. In particular, the expected evolution is determined and compared to the random evolution inferred from a sequence of random numbers, for different sample populations. The special case of radioactive decay is considered and results are expressed in terms of the fractional time, $t/Delta t$, where the time step, $Delta t$, is related to the decay probability, $p=p(Delta t)$. An application is made to data collections from selected academic courses, focusing on the extent to which expected evolutions and model random evolutions fit to empirical random evolutions inferred from data collections. Results could be biased by the assumed number of students who abandoned their course, defined as suitable impostors (SI). Extreme cases related to a lower and an upper limit of the SI number are considered for a time step, $Delta t=(1/12)$y, where fitting expected evolutions relate to $0.003le ple0.200$. In conclusion, evolving statistical systems made of academic courses are similar to poorly populated samples of radioactive nuclides exhibiting equal probabilities, $p$, and time steps, $Delta t$, where inferred mean lifetimes, $tau$, and half-life times, $t_{1/2}$, range within $0.37<tau/{rm y}<27.73$ and $0.25","PeriodicalId":369778,"journal":{"name":"arXiv: General Physics","volume":"163 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125914087","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