Abstract. In the Lagrangian framework for symmetries and conserva-tion laws of field theories, we... more Abstract. In the Lagrangian framework for symmetries and conserva-tion laws of field theories, we investigate globality properties of conserved currents associated with non–global Lagrangians admitting global Euler– Lagrange morphisms. Our approach is based on the recent geometric for-mulation of the calculus of variations on finite order jets of fibered manifolds in terms of variational sequences. 1. Introduction. In
ABSTRACT General Relativity and Standard Model are formulated in terms of scale-invariant variabl... more ABSTRACT General Relativity and Standard Model are formulated in terms of scale-invariant variables where the initial data are integrals of motion. In this case, the Hubble law can be explained by a cosmological evolution of particle masses. Supernovae type Ia data and the CMB energy budget in the model are in agreement with the dominance of a scalar field kinetic energy density and an intensive cosmological creation of primordialW, Z, and Higgs bosons from vacuum. Some arguments are discussed testifying to that two-photon processes of primordial particle annihilation and decays form three peaks in the CMB power spectrum, and their values and positions ℓ = 220, 546, 800 are in agreement with the QED coupling constant,Weinberg’s angle, and the Higgs particle mass of about 118 GeV. PACS numbers95.30.Sf-98.80.-k-98.80.Es
We demonstrate that the coproduct of and quantum -Poincaré algebras in a classical algebra basis ... more We demonstrate that the coproduct of and quantum -Poincaré algebras in a classical algebra basis cannot be obtained by a cochain twist depending only on Poincaré algebra generators. We also argue that the nonexistence of such a twist does not imply the nonexistence of a universal R-matrix.
Journal of Cosmology and Astroparticle Physics, 2021
We study noncommutative deformations of the wave equation in curved backgrounds and discuss the m... more We study noncommutative deformations of the wave equation in curved backgrounds and discuss the modification of the dispersion relations due to noncommutativity combined with curvature of spacetime. Our noncommutative differential geometry approach is based on Drinfeld twist deformation, and can be implemented for any twist and any curved background. We discuss in detail the Jordanian twist — giving κ-Minkowski spacetime in flat space — in the presence of a Friedman-Lemaître-Robertson-Walker (FLRW) cosmological background. We obtain a new expression for the variation of the speed of light, depending linearly on the ratio E ph/E LV (photon energy/Lorentz violation scale), but also linearly on the cosmological time, the Hubble parameter and inversely proportional to the scale factor.
Abstract. In the Lagrangian framework for symmetries and conserva-tion laws of field theories, we... more Abstract. In the Lagrangian framework for symmetries and conserva-tion laws of field theories, we investigate globality properties of conserved currents associated with non–global Lagrangians admitting global Euler– Lagrange morphisms. Our approach is based on the recent geometric for-mulation of the calculus of variations on finite order jets of fibered manifolds in terms of variational sequences. 1. Introduction. In
ABSTRACT General Relativity and Standard Model are formulated in terms of scale-invariant variabl... more ABSTRACT General Relativity and Standard Model are formulated in terms of scale-invariant variables where the initial data are integrals of motion. In this case, the Hubble law can be explained by a cosmological evolution of particle masses. Supernovae type Ia data and the CMB energy budget in the model are in agreement with the dominance of a scalar field kinetic energy density and an intensive cosmological creation of primordialW, Z, and Higgs bosons from vacuum. Some arguments are discussed testifying to that two-photon processes of primordial particle annihilation and decays form three peaks in the CMB power spectrum, and their values and positions ℓ = 220, 546, 800 are in agreement with the QED coupling constant,Weinberg’s angle, and the Higgs particle mass of about 118 GeV. PACS numbers95.30.Sf-98.80.-k-98.80.Es
We demonstrate that the coproduct of and quantum -Poincaré algebras in a classical algebra basis ... more We demonstrate that the coproduct of and quantum -Poincaré algebras in a classical algebra basis cannot be obtained by a cochain twist depending only on Poincaré algebra generators. We also argue that the nonexistence of such a twist does not imply the nonexistence of a universal R-matrix.
Journal of Cosmology and Astroparticle Physics, 2021
We study noncommutative deformations of the wave equation in curved backgrounds and discuss the m... more We study noncommutative deformations of the wave equation in curved backgrounds and discuss the modification of the dispersion relations due to noncommutativity combined with curvature of spacetime. Our noncommutative differential geometry approach is based on Drinfeld twist deformation, and can be implemented for any twist and any curved background. We discuss in detail the Jordanian twist — giving κ-Minkowski spacetime in flat space — in the presence of a Friedman-Lemaître-Robertson-Walker (FLRW) cosmological background. We obtain a new expression for the variation of the speed of light, depending linearly on the ratio E ph/E LV (photon energy/Lorentz violation scale), but also linearly on the cosmological time, the Hubble parameter and inversely proportional to the scale factor.
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Papers by A. Borowiec