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Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenological consequences. However, the construction of field theories on this space, although operationally well-defined, is plagued…

High Energy Physics - Theory · Physics 2015-05-28 Marija Dimitrijevic , Larisa Jonke

A new non-Abelian gauge transformation for two-forms is introduced. Construction is based on a fixed map from the spacetime to the loop space which attachs a closed loop to each point of the spacetime. It is argued that this set-up is…

High Energy Physics - Theory · Physics 2018-03-20 Ahmad Moradpouri

For non-Abelian tensor gauge fields we have found an alternative form of duality transformation, which has the property that the direct and the inverse transformations coincide. This duality transformation has the desired property that the…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Guttenberg , George Savvidy

Emergent modified gravity presents a new class of gravitational theories in which the structure of space-time with Riemannian geometry of a certain signature is not presupposed. Relying on crucial features of a canonical formulation, the…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Martin Bojowald , Erick I. Duque , Dennis Hartmann

Time reversal symmetry occupies a distinctive role in quantum mechanics, fundamentally requiring an anti-unitary operator to ensure a physically consistent representation. As such, the time reversal operator combines a unitary…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Ovidiu Racorean

David Albert claims that classical electromagnetic theory is not time reversal invariant. He acknowledges that all physics books say that it is, but claims they are "simply wrong" because they rely on an incorrect account of how the time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David B. Malament

In gauge theory, it is commonly stated that time-reversal symmetry only exists at $\theta=0$ or $\pi$ for a $2\pi$-periodic $\theta$-angle. In this paper, we point out that in both the free Maxwell theory and massive QED, there is a…

High Energy Physics - Theory · Physics 2023-04-12 Yichul Choi , Ho Tat Lam , Shu-Heng Shao

Using the Dirac procedure to treat constraints dynamical sistems applied to gravitation, as described in the context of Teleparallel Equivalent of General Relativity (TEGR), we investigate, from the first class constraints, the gauge…

General Relativity and Quantum Cosmology · Physics 2012-10-02 L. R. A. Belo , E. P. Spaniol , J. A. de Deus , V. C. de Andrade

In this paper various extensions of the design strategy of transformation media are proposed. We show that it is possible to assign different transformed spaces to the field strength tensor (electric field and magnetic induction) and to the…

Optics · Physics 2009-03-04 L. Bergamin

We present a modification to a 'rotating' version of the dynamical Alcubierre spacetime, which was previously shown to permit closed timelike curves. We find that if the effective rotation rate is made dependent on the spacetime coordinates…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Achintya Sajeendran , Timothy C. Ralph

Space-time in quantum mechanics is about bridging Hilbert and configuration space. Thereby, an entirely new perspective is obtained by replacing the Newtonian space-time theater with the image of a presumably high-dimensional Hilbert space,…

Quantum Physics · Physics 2024-04-05 Karl Svozil

Motivated by the fermionic Berry's phase in momentum space, we study a local Abelian phase in momentum space coupled to electromagnetism, for complex scalars in the phase-space worldline formalism. The interaction of both Abelian fields is…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Patrick Copinger , Pablo Morales

Transformation media are at the heart of invisibility devices, perfect lenses and artificial black holes. In this paper, we consider their quantum theory. We show how transformation media map quantum electromagnetism in physical space to…

Quantum Physics · Physics 2007-07-26 Ulf Leonhardt , Thomas G. Philbin

We study the "Lie Algebra" of the group of Gauge Transformations of Space-time. We obtain topological invariants arising from this Lie Algebra. Our methods give us fresh mathematical points of view on Lorentz Transformations, orientation…

q-alg · Mathematics 2008-02-03 Daniel Henry Gottlieb

The time-dependent, geometric method for high-energy limits and inverse scattering is applied to nonrelativistic quantum particles in external electromagnetic fields. Both the Schr"odinger- and the Pauli equations in R^2 and R^3 are…

Mathematical Physics · Physics 2007-05-23 Wolf Jung

In classical electrodynamics all the measurable quantities can be derived from the gauge invariant Faraday tensor $F_{\alpha\beta}$. Nevertheless, it is often advantageous to work with gauge dependent variables. In [4],[2] and [8], and in…

Mathematical Physics · Physics 2014-12-22 Andor Frenkel , István Rácz

The propagation of waves in complex media can be harnessed either by taming the incident wave-field impinging on the medium or by forcing waves along desired paths through its careful design. These two alternative strategies have given rise…

Materials Science · Physics 2019-02-15 Benoît Gérardin , Jérôme Laurent , François Legrand , Claire Prada , Alexandre Aubry

In this paper we show how it is possible to obtain mass generation in the context of non Abelian gauge field theory, using a non commutative spacetime. This is further confirmed by the modified dispersion relation that results from such a…

General Physics · Physics 2009-02-23 Burra G. Sidharth

It is shown that every regular electromagnetic field in vacuum identically satisfy Maxwell equations in a new manifold where the roles of space and time have been exchanged. The new metric is Lorentzian, depends on the particular solution…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Érico Goulart , Eduardo Bittencourt

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenology. However, the construction of field theories on this space is plagued with ambiguities. We propose to resolve certain…

High Energy Physics - Theory · Physics 2015-06-03 Marija Dimitrijevic , Larisa Jonke