{"title":"三个争论点点粒子奇异性、电磁波和量子波中的不对称性,以及来自 U(1) 的遗漏限制洛伦兹量规","authors":"Yousef Sobouti","doi":"10.1134/S1063772923140196","DOIUrl":null,"url":null,"abstract":"<p>We address three issues: (1) The point particle assumption inherent to non-quantum physics is singular and entails divergent fields and integrals. (2) In quantum physics electromagnetism (EM) plays an asymmetric roll. It acts on quantum wave functions (QW) but QW does not react back. We suggest to promote the one-sided action of EM on QW into a mutual action-reaction status. This enables QW to share its non-singular feature with EM and to remove the Coulomb singularity. (3) Quantum mechanics is U(1) symmetric. QW multiplied by an <i>arbitrary</i> phase factor and EM written in7 the same Lorentz gauge, leave both EM and QW invariant. The minimal coupling of QW to the EM 4-vector potential, <span>\\({{A}_{\\mu }}\\)</span>, is a consequence of this arbitrary gauge. Symmetry under the restricted Lorentz gauge, is left out. We propose to enlarge U(1) to accommodate the restricted Lorentz gauge as well. This in turn invites in a coupling of QW to the derivatives of the vector potential, <span>\\({{\\partial }_{\\nu }}{{A}_{\\mu }}\\)</span>, in addition to the minimal coupling. We find that (i) electron acquires a distributed charge, reminiscent of the QED-renormalized charge distributions; (ii) because of its spin, electron acquires a self induced magnetic moment with the same g-factor as in QED but without relying on QED.</p>","PeriodicalId":55440,"journal":{"name":"Astronomy Reports","volume":"67 2 supplement","pages":"S134 - S139"},"PeriodicalIF":1.1000,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Three Arguables: Point Particle Singularity, Asymmetry in EM and Quantum Waves, and the Left Out Restricted Lorentz Gauge from U(1)\",\"authors\":\"Yousef Sobouti\",\"doi\":\"10.1134/S1063772923140196\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We address three issues: (1) The point particle assumption inherent to non-quantum physics is singular and entails divergent fields and integrals. (2) In quantum physics electromagnetism (EM) plays an asymmetric roll. It acts on quantum wave functions (QW) but QW does not react back. We suggest to promote the one-sided action of EM on QW into a mutual action-reaction status. This enables QW to share its non-singular feature with EM and to remove the Coulomb singularity. (3) Quantum mechanics is U(1) symmetric. QW multiplied by an <i>arbitrary</i> phase factor and EM written in7 the same Lorentz gauge, leave both EM and QW invariant. The minimal coupling of QW to the EM 4-vector potential, <span>\\\\({{A}_{\\\\mu }}\\\\)</span>, is a consequence of this arbitrary gauge. Symmetry under the restricted Lorentz gauge, is left out. We propose to enlarge U(1) to accommodate the restricted Lorentz gauge as well. This in turn invites in a coupling of QW to the derivatives of the vector potential, <span>\\\\({{\\\\partial }_{\\\\nu }}{{A}_{\\\\mu }}\\\\)</span>, in addition to the minimal coupling. We find that (i) electron acquires a distributed charge, reminiscent of the QED-renormalized charge distributions; (ii) because of its spin, electron acquires a self induced magnetic moment with the same g-factor as in QED but without relying on QED.</p>\",\"PeriodicalId\":55440,\"journal\":{\"name\":\"Astronomy Reports\",\"volume\":\"67 2 supplement\",\"pages\":\"S134 - S139\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-02-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Astronomy Reports\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063772923140196\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astronomy Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063772923140196","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
摘要
摘要 我们讨论了三个问题:(1)非量子物理学中固有的点粒子假设是奇异的,会带来发散的场和积分。(2) 电磁学(EM)在量子物理学中扮演着不对称的角色。它作用于量子波函数(QW),但 QW 并不做出反作用。我们建议将电磁对量子波函数的单边作用提升为相互作用-反应状态。这样,QW 就能与 EM 分享其非奇异特性,并消除库仑奇异性。(3) 量子力学是 U(1) 对称的。QW 乘以任意相位因子与 EM 写在7 相同的洛伦兹规中,使 EM 和 QW 都保持不变。QW 与 EM 4 向量势的最小耦合({{A}_{/\mu }}/)就是这种任意规的结果。受限洛伦兹规下的对称性被排除在外。我们建议扩大 U(1),以适应受限洛伦兹规。这反过来又在最小耦合之外引入了 QW 与矢量势导数的耦合,即 \({{\partial }_{\nu }}{{A}_{\mu }}\) 。我们发现:(i) 电子获得了分布式电荷,让人联想到 QED 重归一化电荷分布;(ii) 由于电子自旋,电子获得了自感应磁矩,其 g 因子与 QED 中的相同,但无需依赖 QED。
Three Arguables: Point Particle Singularity, Asymmetry in EM and Quantum Waves, and the Left Out Restricted Lorentz Gauge from U(1)
We address three issues: (1) The point particle assumption inherent to non-quantum physics is singular and entails divergent fields and integrals. (2) In quantum physics electromagnetism (EM) plays an asymmetric roll. It acts on quantum wave functions (QW) but QW does not react back. We suggest to promote the one-sided action of EM on QW into a mutual action-reaction status. This enables QW to share its non-singular feature with EM and to remove the Coulomb singularity. (3) Quantum mechanics is U(1) symmetric. QW multiplied by an arbitrary phase factor and EM written in7 the same Lorentz gauge, leave both EM and QW invariant. The minimal coupling of QW to the EM 4-vector potential, \({{A}_{\mu }}\), is a consequence of this arbitrary gauge. Symmetry under the restricted Lorentz gauge, is left out. We propose to enlarge U(1) to accommodate the restricted Lorentz gauge as well. This in turn invites in a coupling of QW to the derivatives of the vector potential, \({{\partial }_{\nu }}{{A}_{\mu }}\), in addition to the minimal coupling. We find that (i) electron acquires a distributed charge, reminiscent of the QED-renormalized charge distributions; (ii) because of its spin, electron acquires a self induced magnetic moment with the same g-factor as in QED but without relying on QED.
期刊介绍:
Astronomy Reports is an international peer reviewed journal that publishes original papers on astronomical topics, including theoretical and observational astrophysics, physics of the Sun, planetary astrophysics, radio astronomy, stellar astronomy, celestial mechanics, and astronomy methods and instrumentation.