We compute the Noncommutative QCD (NCQCD) contributions to the three gluon decay modes of heavy quarkonia.
https://arxiv.org/pdf/hep-ph/0202011
The noncommutative effects are at least at the order of p Θ k where p (k) are the four momenta of incoming (outgoing) b quark (virtual gluon).
https://inspirehep.net/files/bc80b4bd4415d59a02eebf451e7237e3
It is widely admitted that the Standard Model is valid only up to a scale of
several hundred GeV
https://arxiv.org/pdf/hep-ph/0206223
However, it is very likely that spacetime is not only
physical but also has quantum properties. Snyder pointed out
that spacetime can be quantized, and Lorentz invariance can
be preserved simultaneously [1–3]. A fundamental length is
required to characterize the importance of the quantized
spacetime and is naturally related to the gravitational effect
[4]. Spacetime with a discrete spectrum was also motivated by
string theory [5, 6] and quantum gravity [7]. The corresp-
onding operators are noncommutative and described by the
algebra [xμ, xν] = iθμν. Here θμν is a totally anti-symmetric
constant with a dimension of length-squared and characterizes
strength and relative directions of the spacetime non-
commutativity [8, 9]. The above noncommutative algebra can
also be realized by introducing a Moyal–Weyl product (also
called å-product)
Time-dependent Aharonov–Casher effect on
noncommutative space
Tao Wang and Kai Ma
Department of Physics, Shaanxi University of Technology, Hanzhong 723000, Shaanxi, China
E-mail: makai@ucas.ac.cn
Received 29 August 2022, revised 23 October 2022
Accepted for publication 10 November 2022
Published 22 December 2022
NONCOMMUTATIVE BLACK HOLES, THE FINAL APPEAL TO
QUANTUM GRAVITY: A REVIEW
https://arxiv.org/pdf/0807.1939
we find a zero temperature final state, a
stable black hole remnant, whose size and mass are determined uniquely in terms of the
noncommutative parameter θ. This result turns out to be of vital importance for the
physics of the forthcoming experiments at the LHC, where mini black hole production
is foreseen in extreme energy hadron collisions.
To this purpose, the final zero temperature configuration can be considered a black
hole relic, namely the remnant of the black hole evaporation via Hawking emission.
Such a relic could provide a sort of solution to the long standing problem of the
information paradox192: indeed, due to occurrence of the cool SCRAM phase in
place of the hot Planck phase, the initial information is confined and preserved into
the black hole relic, even after the end of the evaporation. A detailed analysis of
spin-2 quantum amplitudes led to the conclusion that unitarity is preserved during
the life of the black hole193. From Fig. 6 it follows that the black hole is “colder”
with respect to what one would imagine:
we can expect
that black holes be produced with large cross sections and studied in detail at
the LHC. In particular, the extradimensional model confirms the four dimensional
prevision about the existence of stable remnants, whose mass and radius are fixed
by the noncommutative scale and the number of dimensions and whose detection
turns out to be vital for the understanding of Quantum Gravity
black hole does not evaporate completely and a stable remnant is left.
https://arxiv.org/abs/1604.08584
AI overview of noncommutative quantum black hole vid
the non-commutative black hole can reduce to the Schwarzschild black hole. Since the non-vanishing non-commutative parameter affects the formation of event horizon, the visibility of the resulting shadow depends on the non-commutative parameter in Rastall gravity.
As a result, black hole remnants are unconditionally inert even gravitational interactions do not exist therein. So, a distinction between gravitational and inertial mass in the size of black hole remnant is observed, i.e. the failure of the principle of equivalence. In addition, if one considers the screen radius to be less than the radius of the smallest holographic surface at the Planckian regime, then one encounters some unusual dynamical features leading to gravitational repulsive force and negative energy.
Effects of non-commutative geometry on black hole properties
https://arxiv.org/abs/2406.12015
https://www.researchgate.net/profile/S-Hamid-Mehdipour
This paper reveals a systematic reduction in the uncertainty bounds of position and momentum observables as the number of entangled particles increases, culminating in a collective behavior reminiscent of classicality. To illustrate the physical significance of this mechanism, we conceptualize five theoretical scenarios—from quantum metrology to black hole thermodynamics—demonstrating how entanglement-induced uncertainty reduction can manifest in diverse contexts, offering novel insight into the quantum-to-classical transition.
https://files.sciengine.com/pdfs/0295-5075/84C5ECEBE4A44BA8B139B0531B56460C-1789999606709.pdf
This behavior highlights the entanglement-induced suppression
of uncertainty, leading to an emergent classicality in the large-N limit. In particular, we demon-
strate that multipartite entanglement with quantum memory reduces both the state-independent
and state-dependent bounds, yielding more precise measurements. These results not only provide
a deeper understanding of the interplay between entanglement and uncertainty but also suggest
potential applications in quantum cryptography, precision metrology, condensed-matter many-
body physics, quantum thermodynamics, and foundational studies of the quantum-to-classical
transition
This conditional entropy can become nega-
tive in the presence of strong entanglement, which tightens
the entropic bound and further illustrates how quantum
correlations suppress uncertainty in multipartite systems.
https://arxiv.org/pdf/1006.5215
Since an observer passing through the inner horizon would
encounter an infinite blueshift of any entering emission, as he comes near the horizon, he
surveys the total history of the outward region in a determinate interval of his individual
proper time. So it would be possible for any small perturbation to upset the horizon and
emerge as a naked singularity...Then it must include a naked
singularity, i.e., there exists a future directed causal curve that arrives a distant observer,
and in the past it ends at the singularity.... there is the principal reactiveness to noncommutativity effects and the detailed form of the matter distribution. In this area, some unusual thermodynamical features, e.g., negative entropy, negative temperature, and abnormal heat capacity appeared.
One of the main proposals is that the black hole never disappears
completely, and the information is not lost, but would be stored in a Planck size stable
remnant
In this setup, the proposal of stable black hole remnant as a candidate to
store information has failed because the black hole evaporates completely in the long
time limit. Finally, by using the semiclassical method, we have derived the Hawking
temperature and the emission rate via a tunneling process which includes the correc-
tions due to noncommutativity. The entropy for such a black hole is approximately
computed in a closed form. These corrections would be significant at the level of semiclassi-
cal quantum gravity, specifically once the black hole mass becomes close to the Planck mass.
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