- Forfatter Hagen Kleinert. Bøker, lydbøker, biografi og bilder | Tanum nettbokhandel
- Ebook Multivalued Fields In Condensed Matter, Electromagnetism, And Gravitation 2008
- 1. Introduction
- Hagen Kleinert

They form a single 4-vector under the 6-parameter homogeneous Lorentz group SO 1, 3. A non- gravity force is required to create a translational covariant acceleration. Conservation of angular momentum maintains a rotating LNIF in the absence of friction in deep space once the external torque is removed. The Lorentz group transformations connect coincident covariantly non- accelerating LIFs with vanishing g-forces. The vanishing functional derivative of the total action S with respect to the 4 GCT invariant tetrad 1-forms5 i.

And so we dream that the final theory will use a more general connection than that of Levi- Civita. This more general connection is induced by locally gauging a more general spacetime symmetry group e.

## Forfatter Hagen Kleinert. Bøker, lydbøker, biografi og bilder | Tanum nettbokhandel

Conclusions In this model there is no quantum gravity in the usual sense of starting with a classical field and quantizing it. What hitherto was called the classical gravity field is seen to be really an emergent effective macro-quantum coherent c-number post-inflation vacuum field. We claim the residual random negative-zero-point-pressure advanced virtual bosons back- from-the-future manifest as the anti-gravitating universally repulsive dark energy.

This is because the future de Sitter horizon for a co-moving observer in our universe is a Wheeler-Feynman perfect absorber — an infinite red shift surface — just like a black hole event horizon is for a static LNIF observer.

In contrast, we claim the universally attracting dark matter comes from residual positive-zero- point-pressure virtual fermion-antifermion pairs. Furthermore, looking at Fig 5. The advanced dark energy thermal Hawking radiation reaching us now backward-through-time along our future light cone is very close to the asymptotic value. We need both retrocausality and the world hologram principle to properly understand the Arrow of Time of the Second Law of Thermodynamics.

However, those authors do not clearly specify which horizon they are referring to. They omit the key notion of retro-causality. We claim retrocausality is necessarily implied when the correct cosmic horizon - the future lightlike de Sitter horizon — is specified. Murad, R. Baker Jr. Related Papers. London April 20, Notes on new high energy black hole radiation.

## Ebook Multivalued Fields In Condensed Matter, Electromagnetism, And Gravitation 2008

Magnetism in condensed matter. Diffusion in Condensed Matter. Condensed Matter. Multivalued fields: In condensed matter, electromagnetism, and gravitation. Multivalued fields in condensed matter, electromagnetism, and gravitation. Gauge fields and strings. Excitonic Processes in Condensed Matter.

QFT in condensed matter physics. Relaxation Phenomena in Condensed Matter. Morphology of Condensed Matter. Advanced condensed matter physics. We employed the gradient expansion by using the first term in the Poisson bracket, Eq. We thank T. Kimura, N. Sugimoto, K. Shiozaki, and H. Sumiyoshi for fruitful discussions and S. Fujimoto for careful reading of this manuscript. Oxford University Press is a department of the University of Oxford.

It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide. Sign In or Create an Account. Sign In. Advanced Search. Article Navigation. Close mobile search navigation Article Navigation. Volume Article Contents. Heat transport and gravity. Heat transport and torsion. Keldysh formalism in a curved spacetime. Perturbation theory with respect to torsion.

Heat magnetization. Thermal conductivity. Effective action for the quantized thermal Hall effect. Heat transport as torsional responses and Keldysh formalism in a curved spacetime Atsuo Shitade.

Oxford Academic. Google Scholar. Cite Citation. Permissions Icon Permissions. Abstract We revisit a theory of heat transport in the light of a gauge theory of gravity and find the proper heat current with a corresponding gauge field, which yields the natural definitions of the heat magnetization and the Kubo-formula contribution to the thermal conductivity as torsional responses. First, we intuitively review Luttinger's idea that relates a gravitational potential to non-uniform temperature [ 1 ].

Now we can relate a theory of heat transport to gravity. The local spacetime translation symmetry is required by the general covariance principle, and a vielbein can be found in a gauge theory of gravity, i. More concretely, let us concentrate on a Dirac fermion.

### 1. Introduction

Next, we define the thermal conductivity and the HM based on the above discussion. On the other hand, we emphasize that a torsional magnetic field is essentially different from an angular velocity of rotation. In this section, we present a general framework for calculating gravitational responses based on the Keldysh formalism.

We begin with the Keldysh formalism in a flat spacetime [ 33 , 34 ] to construct that in a curved spacetime.

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## Hagen Kleinert

There are two effects of gravity. In a flat spacetime, just symbolically, we can use the Wigner representation [ 33 , 34 ]. This is a kind of Fourier transformation and makes it easy to deal with convolution. Let us derive the first-order perturbation theory with respect to the static and uniform torsion. Below we calculate the first-order Green function with respect to torsion, i.

By substituting Eq. In this section, we explicitly calculate the HM. This is in parallel with the previous calculation for the orbital magnetization [ 38 ].

Since it is difficult to calculate the proper HM defined by the free energy, let us calculate the auxiliary HM defined by the total energy.