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Combining arbitrary order global Padé approximation of the Mittag-Leffler function with its addition formula for a significant accuracy boost 将米塔格-勒弗勒函数的任意阶全局帕代近似与其加法公式相结合,显著提高精度
arXiv - PHYS - General Physics Pub Date : 2024-08-13 DOI: arxiv-2408.10257
Richard Herrmann
{"title":"Combining arbitrary order global Padé approximation of the Mittag-Leffler function with its addition formula for a significant accuracy boost","authors":"Richard Herrmann","doi":"arxiv-2408.10257","DOIUrl":"https://doi.org/arxiv-2408.10257","url":null,"abstract":"The combination of the global Pad'e approximation of the Mittag-Leffler\u0000function with its addition formula for the case $alpha<1$ yields significantly\u0000higher accuracy results for a given arbitrary order $n$. We present a solution\u0000in terms of a Mathematica notebook to determine the general structure of the\u0000system of linear equations to be solved, followed by an implementation as a\u0000{tt{C++}} program using the {tt{Eigen}} template library for linear algebra.\u0000For a comparison with contour integral solutions we present an implementation\u0000as a {tt{C++}} program using the {tt{boost}} library's quadrature package\u0000employing the Gauss-Kronrod-method.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203368","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
Comment on the GHZ variant of Bell's theorem without inequalities 评论不等式贝尔定理的 GHZ 变体
arXiv - PHYS - General Physics Pub Date : 2024-08-12 DOI: arxiv-2408.10256
Joy Christian
{"title":"Comment on the GHZ variant of Bell's theorem without inequalities","authors":"Joy Christian","doi":"arxiv-2408.10256","DOIUrl":"https://doi.org/arxiv-2408.10256","url":null,"abstract":"I point out a sign mistake in the GHZ variant of Bell's theorem, which\u0000purports to demonstrate that the premisses of the EPR argument are inconsistent\u0000for systems of more than two particles in entangled quantum states.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203683","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
From new thermodynamics to classical mechanics 从新热力学到经典力学
arXiv - PHYS - General Physics Pub Date : 2024-08-12 DOI: arxiv-2408.06005
Henmei Ni
{"title":"From new thermodynamics to classical mechanics","authors":"Henmei Ni","doi":"arxiv-2408.06005","DOIUrl":"https://doi.org/arxiv-2408.06005","url":null,"abstract":"The laws of classical mechanics are rebuilt in the frame of new\u0000thermodynamics. Heat is the sum of kinetic energy, system work, and system\u0000potential of gas, while force is the linear gradients of heat variation.\u0000Exporters and importers of force are evident in terms of exotherm and\u0000endotherm. Temperature and volume gradients create asymmetric forces driving\u0000rotation and spin (self-rotation). It verifies that force transfer does not\u0000need a medium. As an outstanding achievement, a succinct and general equation\u0000is derived to predict the equilibrium distance of molecular interaction without\u0000using any assumption, such as van der Waals force and dispersion force. In\u0000addition, the origins and attributes of repulsion and attraction are disclosed.\u0000Predicting results are applausive. For example, at 298 K, Le for N2, O2, and\u0000CH4 are 3.11, 3.11, and 3.68 A, comparable to the data adopted in MD\u0000simulations of the literature. All these results indicate that the world is\u0000created by evaporation (sublimation)-condensation. It is believed that all\u0000objects, from tiny atoms to giant objects like planets, are thermal equilibrium\u0000systems. The new thermodynamics can describe them from the internal structure\u0000to the outer behaviors.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203370","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
3-SAT solver for two-way quantum computers 双向量子计算机的 3-SAT 求解器
arXiv - PHYS - General Physics Pub Date : 2024-08-11 DOI: arxiv-2408.05812
Jarek Duda
{"title":"3-SAT solver for two-way quantum computers","authors":"Jarek Duda","doi":"arxiv-2408.05812","DOIUrl":"https://doi.org/arxiv-2408.05812","url":null,"abstract":"While quantum computers assume existence of state preparation process\u0000$|0rangle$, CPT symmetry of physics says that performing such process in CPT\u0000symmetry perspective, e.g. reversing used EM impulses ($V(t)to V(-t)$), we\u0000should get its symmetric analog $langle 0|$, referred here as state\u0000postparation - which should provide results as postselection, but with higher\u0000success rate. Two-way quantum computers (2WQC) assume having both $|0rangle$\u0000and $langle 0|$ pre and postparation. In theory they allow to solve NP\u0000problems, however, basic approach would be more difficult than Shor algorithm,\u0000which is now far from being practical. This article discusses approach to make\u0000practical 2WQC 3-SAT solver, requiring exponential reduction of error rate,\u0000what should be achievable through linear increase of the numbers of gates. 2WQC\u0000also provides additional error correction capabilities, like more stable Grover\u0000algorithm, or mid-circuit enforcement of syndrome to zero, like proposed\u0000equalizer enforcing qubit equality.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203367","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
Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion 与非线性电动力学耦合的爱因斯坦-AdS 引力、磁性黑洞、扩展相空间中的热力学和焦耳-汤姆森膨胀
arXiv - PHYS - General Physics Pub Date : 2024-08-08 DOI: arxiv-2408.04714
S. I. Kruglov
{"title":"Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion","authors":"S. I. Kruglov","doi":"arxiv-2408.04714","DOIUrl":"https://doi.org/arxiv-2408.04714","url":null,"abstract":"We study Einstein's gravity with negative cosmological constant coupled to\u0000nonlinear electrodynamics proposed earlier. The metric and mass functions and\u0000corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole\u0000solutions can have one or two horizons. Thermodynamics and phase transitions of\u0000magnetically charged black holes in Anti-de Sitter spacetime are investigated.\u0000The first law of black hole thermodynamics is formulated and the generalized\u0000Smarr relation is proofed. By calculating the Gibbs free energy and heat\u0000capacity we study the black hole stability. Zero-order (reentrant),\u0000first-order, and second-order phase transitions are analysed. The\u0000Joule--Thomson expansion is considered showing the cooling and heating phase\u0000transitions. It was shown that the principles of causality and unitarity are\u0000satisfied in the model under consideration.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937345","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
Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid 利用野尻-奥丁佐夫广义全息暗流实现宇宙学反弹膨胀
arXiv - PHYS - General Physics Pub Date : 2024-08-07 DOI: arxiv-2408.04670
Sanghati Saha, Surajit Chattopadhyay
{"title":"Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid","authors":"Sanghati Saha, Surajit Chattopadhyay","doi":"arxiv-2408.04670","DOIUrl":"https://doi.org/arxiv-2408.04670","url":null,"abstract":"The current work reports a study on bounce cosmology with a highly\u0000generalized holographic dark fluid inspired by S. Nojiri and S. D. Odintsov,\u00002017, European Physical Journal C, 77, pp.1-8. The holographic dark fluid that\u0000is mostly used for late-time acceleration has been implemented to reconstruct\u0000towards realisation of cosmological bounce. We first used the most generalized\u0000Nojiri-Odintsov(NO) cutoff to implement the holographic dark fluid.\u0000Accordingly, we have reconstructed this dark fluid via some solutions of scale\u0000factors. With those solutions, we have explored the evolution of different\u0000cosmological parameters. We have examined the effects of each reconstructed\u0000parameter in the context of the realization of the cosmic bounce. Next, we use\u0000the analytical inferences of the scalar spectral index, tensor-to-scalar ratio,\u0000and slow-roll characteristics of the model to study a bounce inflationary\u0000scenario. Since inflation is usually associated with the existence of scalar\u0000fields, we looked at a possible relationship between NO generalized holographic\u0000dark energy and scalar field models. Plotting the evolution of the potential\u0000that results from the scalar fields against time. Finally, we investigated the\u0000GSL of thermodynamics in the pre-and post-bounce scenarios.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"77 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937279","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 new theory of tensor-scalar gravity coupled to Aharonov-Bohm electrodynamics 与阿哈诺夫-玻姆电动力学耦合的张量标量引力新理论
arXiv - PHYS - General Physics Pub Date : 2024-08-01 DOI: arxiv-2408.05230
F. Minotti, G. Modanese
{"title":"A new theory of tensor-scalar gravity coupled to Aharonov-Bohm electrodynamics","authors":"F. Minotti, G. Modanese","doi":"arxiv-2408.05230","DOIUrl":"https://doi.org/arxiv-2408.05230","url":null,"abstract":"Tensor-scalar theories of gravitation are commonly employed as extensions of\u0000General Relativity that allow to describe a much wider phenomenology. They are\u0000also naturally generated as low energy limit of higher-dimensional or unified\u0000theories, and the gravitational scalar components can represent quantum\u0000corrections to the Einstein theory. The coupling of the scalars to an e.m.\u0000field does not introduce any relevant new physics if the e.m. action has the\u0000usual Maxwell form, implying a vanishing trace of the e.m. energy-momentum\u0000tensor. In the case of the extended Aharonov-Bohm electrodynamics some\u0000interesting new situations are possible, which in this work are analyzed in the\u0000gravitational weak-field approximation and for a basic version of tensor-scalar\u0000gravity involving only a Brans-Dicke field plus another scalar. Since the\u0000Aharonov-Bohm theory differs from Maxwell theory only in the presence of\u0000anomalous sources with local violation of charge conservation, which is thought\u0000to be possible only at a quantum level, the resulting formal framework can be\u0000useful to model interactions between gravitation and physical systems with\u0000macroscopic quantization. The theory contains some unknown parameters, the most\u0000important being the VEV $psi_0$ of the second gravitational scalar and the\u0000level $gamma$ of violation of local charge conservation in the e.m. sector. An\u0000attempt is done to relate these parameters to some experimental constraints.\u0000However, there is presently much space left for uncertainty.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203638","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 note on diffeomorphism-invariance in gravitational field equations 引力场方程中的衍射不变性说明
arXiv - PHYS - General Physics Pub Date : 2024-08-01 DOI: arxiv-2408.05229
S C Tiwari
{"title":"A note on diffeomorphism-invariance in gravitational field equations","authors":"S C Tiwari","doi":"arxiv-2408.05229","DOIUrl":"https://doi.org/arxiv-2408.05229","url":null,"abstract":"The notion of diffeomorphism invariance and general covariance are\u0000conceptually delicate issues for the field equations and the actions. A\u0000thorough study on the original Einstein field equation and its two\u0000modifications by Einstein is presented. It is concluded that the cosmological\u0000constant and the unimodular condition are independent concepts, and the\u0000unimodular condition has no direct role in the derivation of the traceless\u0000field equation. Unimodular gravity with unambiguous action does not exist, and\u0000the derivation of traceless equation from the action principle is an open\u0000question.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142203658","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
Full Inverse Compton Scattering: Total Transfer of Energy and Momentum from Electrons to Photons 完全反康普顿散射:从电子到光子的能量和动量总转移
arXiv - PHYS - General Physics Pub Date : 2024-07-26 DOI: arxiv-2408.00012
Luca Serafini, Vittoria Petrillo, Sanae Samsam
{"title":"Full Inverse Compton Scattering: Total Transfer of Energy and Momentum from Electrons to Photons","authors":"Luca Serafini, Vittoria Petrillo, Sanae Samsam","doi":"arxiv-2408.00012","DOIUrl":"https://doi.org/arxiv-2408.00012","url":null,"abstract":"In this article we discuss a peculiar regime of Compton Scattering that\u0000assures the maximum transfer of energy and momentum from free electrons\u0000propagating in vacuum to the scattered photons. We name this regime Full\u0000Inverse Compton Scattering (FICS) because it is characterized by the maximum\u0000and full energy loss of the electrons in collision with photons: up to 100 % of\u0000the electron kinetic energy is indeed transferred to the photon. In the case of\u0000relativistic electrons, characterized by a large Lorentz factor (gamma >> 1),\u0000FICS regime corresponds to an incident photon energy equal to mec^2/2 . We\u0000interpret such an astonishing result as FICS being the time reversal of direct\u0000Compton Scattering of very energetic photons (of energy much greater than mec2)\u0000onto atomic electrons. Although the cross section of Compton scattering is\u0000decreasing with the energy of the incident photon, making the process less\u0000probable with respect to other reactions (pair production, nuclear reactions,\u0000etc) when high energetic photons are bombarding a target, the kinematics\u0000straightforwardly implies that the back-scattered photons would have an energy\u0000reaching asymptotically me^2c^2 . FICS is instead the unique suitable working\u0000point in Compton scattering for achieving the total transfer of (kinetic)\u0000energy exactly from the electron to the photon. Experiencing transitions from\u0000the initial momentum to zero in the laboratory system, in FICS the electron is\u0000also subject to very large negative acceleration; this fact can lead to\u0000possible experiments of sensing the Unruh temperature and related photon bath.\u0000On the other side of the energy dynamic range, low relativistic electrons can\u0000be completely stopped by moderate energy photons (tens of keV), leading to full\u0000exchange of temperature between electron clouds and photon baths.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"155 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886086","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
The structure of a fluid in the canonical and in the grand canonical ensembles 典型集合和大典型集合中的流体结构
arXiv - PHYS - General Physics Pub Date : 2024-07-25 DOI: arxiv-2407.18281
Riccardo Fantoni
{"title":"The structure of a fluid in the canonical and in the grand canonical ensembles","authors":"Riccardo Fantoni","doi":"arxiv-2407.18281","DOIUrl":"https://doi.org/arxiv-2407.18281","url":null,"abstract":"The ensemble inequivalence in a Coulomb liquid has been known since the years\u00001960s. The structure described by the canonical ensemble and the grand\u0000canonical ensemble are not equivalent. We show that this fact holds true for\u0000any long range fluid.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"84 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141867425","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
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