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Tiwari S.C.,Banaras Hindu University | Tiwari S.C.,Institute of Natural Philosophy
Physical Review D - Particles, Fields, Gravitation and Cosmology | Year: 2013

The geometric approach based on parallel transport and Wilson lines to gain insight into the decomposition of the gluon gauge 4-vector potential is being developed in the literature to address the proton spin puzzle. Unfortunately, conflicting claims on the uniqueness of the decomposition have been made. We reexamine this controversy and argue that Hodge decomposition and the de Rham theorem resolve this issue in a natural way such that the topological defects acquire a fundamental significance. It is suggested that qualitatively angular momentum holonomy could be an alternative new mechanism to account for the deficit proton spin. © 2013 American Physical Society.

Tiwari S.C.,Institute of Natural Philosophy
Physica Scripta | Year: 2012

The dimensionless electromagnetic coupling constant α=e 2/c may have three interpretations: as the well-known ratio between the electron charge radius e 2/mc 2 and the Compton wavelength of an electron λ c=/mc, as the ratio of two angular momenta since the Planck constant has the dimension of angular momentum and as the ratio of two flux quanta e and hc/e . The anomalous part of the electron magnetic moment together with the unified picture of the three interpretations of α is suggested to have deep physical significance. The electric charge is proposed to be a new quantum of flux that leads to a new model of the electron envisaging a two-vortex structure. In analogy with quantum conditions, we postulate sub-quantum conditions applicable in a region of the order of λ c replacing by a universal constant f=e 2/2πc and we apply it to the Dirac equation in internal space that gives rise to the anomalous magnetic moment of an electron. The Dirac spinor and two-spinor representations for the vortex structure of an electron in the single-particle Dirac framework are discussed. The role of sub-quantum rules and internal variables in developing the present ideas is also discussed. A critical discussion of past attempts at giving fundamental importance to magnetism and flux quantum is presented in order to delineate the new ideas in the present work. © 2012 The Royal Swedish Academy of Sciences.

Tiwari S.C.,Institute of Natural Philosophy
Optik | Year: 2012

Ratio of electron charge radius and Compton wavelength of electron is known to be equal to the dimensionless electromagnetic coupling constant e 2/ c. It is pointed out that the coupling constant has two alternative interpretations: as a ratio of two angular momenta since Planck constant has the dimension of angular momentum, and two flux quanta e and hc/e. We argue that it has deep physical significance such that the electronic charge becomes flux itself and at a fundamental level fractional spin of quantized vortex. A unified perspective of the three interpretations of the coupling constant is presented invoking the new interpretation of the magnetic moment of the electron comprising three terms. A critical discussion on the magnetism and flux quantum is given and the implication on the spintronics is pointed out. © 2011 Elsevier GmbH. All rights reserved.

Tiwari S.C.,Banaras Hindu University | Tiwari S.C.,Institute of Natural Philosophy
Modern Physics Letters A | Year: 2015

Axion electrodynamics is deduced from the local duality invariant electrodynamics (LDIE) with a new perspective on both formalism and the physical interpretation. First, the delicate issue of duality rotation symmetry in the Maxwell action is critically reviewed and the generalized Maxwell field equations invariant under local duality rotation are derived. In the alternative approach, a generalization is made to Sudbery's pseudo-vector action such that it is local duality invariant. Variational principle is used to derive the Euler-Lagrange equations of motion. The gauge potential for local duality rotation, termed duroton, under the assumption that it is a gradient of the axion field leads to the dual symmetric axion electrodynamics. The absence of the magnetic monopole in Maxwell equations motivates to impose a natural condition to deduce the standard axion electrodynamics. The present derivation offers the possibility for new physical interpretation of the axions and the monopoles. © 2015 World Scientific Publishing Company.

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