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As we know, from the Einstein equations the vanishing of the four-divergence of the (symmetric) energy-momentum tensor follows. This is the case because the fourdivergence of the Einstein tensor (which is also symmetric) vanishes…

General Physics · Physics 2017-12-12 Evangelos Chaliasos

Energy conservation has the status of a fundamental physical principle. However, measurements in quantum mechanics do not comply with energy conservation. Therefore, it is expected that a more fundamental theory of gravity -- one that is…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Y. Bonder , J. E. Herrera , A. M. Rubiol

By exploiting the mathematical analogy between the propagation of sound in a non-homogeneous potential flow and the propagation of a scalar field in a background gravitational field, various wave ``energy'' and wave ``momentum''…

Condensed Matter · Physics 2008-12-18 Michael Stone

After more than a century of debate, there remains continuing discomfort over what is the correct expression for the electromagnetic momentum in a dielectric medium. This is the so-called the Minkowski-Abraham controversy. We show that…

Classical Physics · Physics 2017-07-05 Joseph J. Bisognano

We derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and…

General Physics · Physics 2016-04-11 Chris Fietz

The renormalized energy-momentum tensor of vacuum has been deeply explored many years ago. The main result of these studies was that such a tensor should satisfy the conservation laws which reflects the covariance of the theory in the…

High Energy Physics - Theory · Physics 2013-05-30 Manuel Asorey , Petr M. Lavrov , Baltazar J. Ribeiro , Ilya L. Shapiro

We study the problem of the definition of the energy-momentum tensor of light in general moving non-dispersive media with linear constitutive law. Using the basic principles of classical field theory, we show that for the correct…

Classical Physics · Physics 2015-02-24 Tomás Ramos , Guillermo F. Rubilar , Yuri N. Obukhov

It is pointed out that the previous energy-momentum tensors of Minkowski and Abraham for the electromagnetic field in continuous media are based on a covariant formulation which does not reflect a symmetry inherent to the system. Instead,…

High Energy Physics - Phenomenology · Physics 2008-09-30 Finn Ravndal

We discuss general properties of the conservation law associated with a local symmetry. Using Noether's theorem and a generalized Belinfante symmetrization procedure in 3+1 dimensions, a symmetric energy-momentum (pseudo) tensor for the…

High Energy Physics - Theory · Physics 2014-11-18 Dongsu Bak , D. Cangemi , R. Jackiw

There exist two popular energy-momentum tensors for an electromagnetic wave in a dielectric medium. The Abraham expression is robust to experimental verification but more mathematically demanding, while the Minkowski expression is the…

Classical Physics · Physics 2009-02-22 R. N. C. Pfeifer , T. A. Nieminen , N. R. Heckenberg , H. Rubinsztein-Dunlop

We give an introduction to, and review of, the energy-momentum tensors in classical gauge field theories in Minkowski space, and to some extent also in curved space-time. For the canonical energy-momentum tensor of non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2016-11-21 Daniel N. Blaschke , Francois Gieres , Meril Reboud , Manfred Schweda

A transparent linear magneto-dielectric material in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system, definitively, regardless of what field and material subsystems that one defines.…

Classical Physics · Physics 2022-02-14 Michael E. Crenshaw

In a recent Letter by Barnett [S. M. Barnett, Phys. Rev. Lett. 104, 070401 (2010)], a total-momentum model is proposed for resolution of the Abraham-Minkowski dilemma. In this model, Abraham's and Minkowski's momentums are, respectively, a…

General Physics · Physics 2014-02-07 Changbiao Wang

General relativity is the theory with unclear energy momentum tensor. An approach is considered, allowing to construct the energy momentum tensor for relativity with nonsymmetric metric. A consequence of the approach is confirmed in the…

General Physics · Physics 2016-10-21 Boris V. Gisin

We provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energy-momentum tensor, generalizing therefore former works on the symmetric, local and…

High Energy Physics - Phenomenology · Physics 2015-09-30 Cédric Lorcé

A recently found (gr-qc/0303036) 2-index, symmetric, trace-free, divergence-free tensor is introduced for arbitrary source-free electromagnetic fields. The tensor can be constructed for any test Maxwell field in Einstein spaces (including…

General Relativity and Quantum Cosmology · Physics 2007-05-23 José M. M. Senovilla

We find that the energy-dynamic tensor of electromagnetic wave in medium defined by Lagrange density is very similar to that of ordinary fluid, and density and pressure can be defined similarly. The pressure here is different from the…

General Physics · Physics 2023-09-08 Gui-Xiong Liang

It has been assumed for a century that the energy-momentum tensor of the photon takes a symmetric form, with the renowned Poynting vector assigned as the same density for momentum and energy flow. Here we show that the symmetry of the…

General Physics · Physics 2012-11-21 Xiang-Bai Chen , Xiang-Song Chen

We present a new type of energy-momentum tensor and angular momentum tensor. They are motivated by a special consideration in quantum measurement: Given a wave in mutual eigen-state of more than one physical observables, the corresponding…

General Physics · Physics 2017-01-31 Zhen-Lai Wang , De-Tian Yang , Zi-Wei Chen , Tao Lei , Xiang-Song Chen

The Comment of M. Partanen and J. Tulkki [Phys. Rev. A {\bf 100}, 017801 (2019)] claims that my criticism expressed in Phys. Rev. A {\bf 98}, 043847 (2018) of the earlier paper of Partanen {\it et al.} [Phys. Rev. A {\bf 95}, 063850 (2017)]…

Classical Physics · Physics 2019-07-19 Iver Brevik