Complex geometry of space–time motivated by gravity’s rainbow

2019 ◽  
Vol 97 (5) ◽  
pp. 558-561
Author(s):  
Faizan Bhat ◽  
Mussadiq H. Qureshi ◽  
Manzoor A. Malik ◽  
Asif Iqbal
Keyword(s):  
Imaginary Part ◽  
Complex Space ◽  
Complex Geometry ◽  
Planck Scale ◽  
Space Time ◽  
Low Energy ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Energy Approximation ◽  
Planck Energy

In this paper, we generalize the formalism of gravity’s rainbow to complex space–time. The resulting geometry depends on the energy of the probe in such a way that the usual real manifold is the low energy approximation of the Planck scale geometry of space–time. So, our formalism agrees with all the observational data about our space–time being real, as at the scale these experiments are preformed, the imaginary part of the geometry is suppressed by Planck energy. However, the imaginary part of the geometry becomes important near the Planck energy, and so it cannot be neglected near the Planck scale. So, the Planck scale geometry of space–time is described by a complex manifold.

HAWKING RADIATION VIA TUNNELING OF MASSIVE PARTICLES FROM A GRAVITY'S RAINBOW

2010 ◽  
Vol 25 (38) ◽  
pp. 3229-3240 ◽  
Author(s):  
CHENG-ZHOU LIU
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Quantum Effect ◽  
Massive Particle ◽  
Planck Scale ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Corrected Entropy ◽  
Massive Particles ◽  
Massive Particle Tunneling

In the tunneling framework of Hawking radiation, the quantum tunneling of massive particles in the modified Schwarzschild black holes from gravity's rainbow is investigated. While the massive particle tunneling from the event horizon, the metric fluctuation is taken into account, not only due to energy conservation but also to the Planck scale effect of spacetime. The obtained results show that, the emission rate is related to changes of the black hole's quantum corrected entropies before and after the emission. This implies that, considering the quantum effect of spacetime, information conservation of black holes is probable. Meanwhile, the quantum corrected entropy of the modified black hole is obtained and the leading correction behave as log-area type. And that, the emission spectrum with Planck scale correction is obtained and it deviates from the thermal spectrum.

scholarly journals QUANTUM EVOLUTION IN SPACE–TIME FOAM

1999 ◽  
Vol 14 (26) ◽  
pp. 4079-4120 ◽  
Author(s):  
LUIS J. GARAY
Keyword(s):  
Quantum Coherence ◽  
Planck Scale ◽  
Space Time ◽  
Low Energy ◽  
Quantum Evolution ◽  
Minimum Length ◽  
Resolution Limit ◽  
Large Length ◽  
Non Local ◽  
Quantum Mechanical Systems

In this work, I review some aspects concerning the evolution of quantum low-energy fields in a foamlike space–time, with involved topology at the Planck scale but with a smooth metric structure at large length scales, as follows. Quantum gravitational fluctuations may induce a minimum length thus introducing an additional source of uncertainty in physics. The existence of this resolution limit casts doubts on the metric structure of space–time at the Planck scale and opens a doorway to nontrivial topologies, which may dominate Planck scale physics. This foamlike structure of space–time may show up in low-energy physics through loss of quantum coherence and mode-dependent energy shifts, for instance, which might be observable. Space–time foam introduces non-local interactions that can be modeled by a quantum bath, and low-energy fields evolve according to a master equation that displays such effects. Similar laws are also obtained for quantum mechanical systems evolving according to good real clocks, although the underlying Hamiltonian structure in this case establishes serious differences among both scenarios.

Strings at superplanckian energies: in search of the string symmetry

1989 ◽  
Vol 329 (1605) ◽  
pp. 401-413 ◽  
Keyword(s):  
Planck Scale ◽  
Space Time ◽  
Energy Scale ◽  
Superstring Theory ◽  
Characteristic Energy ◽  
High Energies ◽  
Planck Energy ◽  
Very High ◽  
Shed Light

The characteristic energy scale of superstring theory, which attempts to unify all the interactions of matter with gravity, is the Planck energy of 10 28 eV. Although this energy is 16 orders of magnitude higher than currently accessible energies, it is important to consider the nature of string physics in this region since it could shed light on the non-perturbative physics at the Planck scale, which determines the structure of the vacuum. In this paper I review some recent attempts to explore this domain. In particular, I discuss string scattering at very high energies, the indications of the existence of a large symmetry that is restored at short distances and the possible breakdown of our concepts of space-time at these energies.

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

2021 ◽  
Author(s):  
Chengzhou Liu ◽  
Jin-Jun Tao
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Event Horizon ◽  
Planck Scale ◽  
Area Spectrum ◽  
Entropy Spectrum ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Gravity Effects ◽  
Newman Black Hole

Abstract Quantum gravity effects on spectroscopy for the charged rotating gravity’s rainbow are investigated. By utilizing an action invariant obtained from particles tunneling through the event horizon, the entropy and area spectrum for the modified Kerr-Newman black hole are derived. The equally spaced entropy spectrum characteristic of Bekenstein’s original derivation is recovered. And, the entropy spectrum is independent of the energy of the test particles, although the gravity’s rainbow itself is the energy dependent. Such, the quantum gravity effects of gravity’s rainbow has no influence on the entropy spectrum. On the other hand, due to the spacetime quantum effects, the obtained area spectrum is different from the original Bekenstein spectrum. It is not equidistant and has the dependence on the horizon area. And that, by analyzing the area spectrum from a specific rainbow functions, a minimum area with Planck scale is derived for the event horizon. At this, the area quantum is zero and the black hole radiation stops. Thus, the black hole remnant for the gravity’s rainbow is obtained from the area quantization. In addition, the entropy for the modified Kerr-Newman black hole is calculated and the quantum correction to the area law is obtained and discussed.

scholarly journals Quantum dynamics of scalar particles in the space–time of a cosmic string in the context of gravity’s rainbow

2020 ◽  
Vol 421 ◽  
pp. 168276
Author(s):  
L.C.N. Santos ◽  
C.E. Mota ◽  
C.C. Barros ◽  
L.B. Castro ◽  
V.B. Bezerra
Keyword(s):  
Cosmic String ◽  
Quantum Dynamics ◽  
Space Time ◽  
Scalar Particles ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow

De Nostalgia

2015 ◽  
Vol 11 (3) ◽  
pp. 395-406
Author(s):  
Friedrich Kittler
Keyword(s):  
Technology Transfer ◽  
Second World War ◽  
Discursive Construction ◽  
World War ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Complete Destruction ◽  
Second World ◽  
Home Territory

The essay presents a reading of three war-related texts: Friedrich Schiller’s Wilhelm Tell, Heinrich von Kleist’s The Battle of Hermann, and Thomas Pynchon’s Gravity’s Rainbow. Written against the background of the Revolutionary Wars and the Prussian Wars of Liberation, respectively, the plays by Schiller and Kleist engage in the discursive construction of an emphatic sense of heimat (home), either by way of creating the new sentiment of homesickness (originally called nostalgia) or by advocating the complete destruction of the very home territory you are trying to defend. Gravity’s Rainbow, in turn, decodes the Second World War as a massive exercise in technology transfer. It effectively presents a deconstruction of heimat in an age in which the imperative to merge technologies supersedes all national agendas.

Sign in / Sign up

Export Citation Format

Share Document