Topological photon

Tiwari, S. C.

doi:10.1063/1.2883828

Cited by 14 publications

(38 citation statements)

References 33 publications

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“…Obviously de Rham period depends on the homology class of the cycle and the cohomology class of the differential form. For the topological photon model [55] we used the first and the second de Rham theorems as follows:…”

Section: Topological Approachmentioning

confidence: 99%

Topological approach to proton spin problem: decomposition controversy and beyond

Tiwari¹

2015

Preprint

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Lorentz covariant and gauge invariant definitions of quark and gluon spin and orbital angular momenta continue to pose a great theoretical challenge. A major controversy on the fundamental concepts followed Chen et al proposal: the basic idea is to split the gauge potential into pure gauge and physical components motivated by the gauge symmetry. We term it gauge symmetry paradigm (GSP) to distinguish it from the well-known inertial frame dependent transverse-longitudinal decomposition (TLP). A thorough study adhering to the traditional meaning of Lorentz covariance and gauge invariance is reported; it leads to a new result: logically consistent development of GSP does not exist and Chen et al proposal turns out to be either trivial or metamorphosed into TLP. Going beyond the controversy and the spin sum rules the necessity for a nonperurbative QCD approach to address the proton spin problem is underlined. We suggest topological approach: generalized de Rham theorems for QCD, and spin as a topological invariant for baryons are discussed. Nonabelian Stokes theorem is applied to derive color flux for the closed loop in a variant of Burkardt's U-shaped path. Similarity between Chen et al decomposition and Kondo decomposition of the gauge potential is suggestive of a topological perspective on the Chen et al proposal with interesting physics.

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Section: Topological Approachmentioning

confidence: 99%

Topological approach to proton spin problem: decomposition controversy and beyond

Tiwari¹

2015

Preprint

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“…Orbifolds have de Rham cohomology ramifications [36,41,42]: the principal result of this work is that physical BWS quantum conditions on angular momentum have natural mathematical counterpart in the form of de Rham periods for topological defects. Application of this idea can be found in the monograph [36] and for topological photon in [43]. Thus the fundamental significance accorded to Planck constant as a quantum of angular momentum becomes logically justified.…”

Section: Electron Structure: Geometry and Topologymentioning

confidence: 98%

Anomalous magnetic moment and vortex structure of the electron

Tiwari

2018

Mod. Phys. Lett. A

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The electron magnetic moment decomposition calculated in QED is proposed to have origin in a multi-vortex internal structure of the electron. This proposition is founded on two important contributions of this work. First, a critical review on Weyl model of electron, Einstein–Rosen bridge and Wheeler’s wormholes leads to a new idea of a topological defect in cylindrical spacetime geometry as a natural representation of the electron. A concrete realization of this idea in terms of the derivation of a new vortex-metric, and its physical interpretation to establish the geometric origin of the electron magnetic moment decomposition constitute the second contribution. Remarkable occurrence of a vortex structure in the basis mode function used in BLFQ is also pointed out indicating wider ramification of the proposed electron model.

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“…We may, however point out that spin is intrinsic and possesses the characteristic of metric-independence [49];…”

Section: Discussionmentioning

confidence: 99%

Rotating light, the orbital angular momentum paradox and relativistic complex scalar fields

Tiwari¹

2009

J. Opt. A: Pure Appl. Opt.

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Recent studies show that the angular momentum, both spin and orbital, of rotating light beams possesses counter-intuitive characteristics. We present a new approach to the question of orbital angular momentum of light based on the complex massless scalar field representation of light. The covariant equation for the scalar field is treated in rotating system using the general relativistic framework. First we show the equivalence of the U(1) gauge current for the scalar field with the Poynting vector continuity equation for paraxial light, and then apply the formalism to the calculation of the orbital angular momentum of rotating light beams. If the difference between the co-, contra-, and physical quantities is properly accounted for there does not result any paradox in the orbital angular momentum of rotating light. An artificial analogue of the paradoxical situation could be constructed but it is wrong within the present formalism. It is shown that the orbital angular momentum of rotating beam comprising of modes with opposite azimuthal indices corresponds to that of rigid rotation. A short review on the electromagnetism in noninertial systems is presented to motivate a fully covariant Maxwell field approach in rotating system to address the rotating light phenomenon. PACS numbers:1

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Topological photon

Cited by 14 publications

References 33 publications

Topological approach to proton spin problem: decomposition controversy and beyond

Topological approach to proton spin problem: decomposition controversy and beyond

Anomalous magnetic moment and vortex structure of the electron

Rotating light, the orbital angular momentum paradox and relativistic complex scalar fields

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