103 research outputs found
Comment on "Neutrino decoherence in presence of strong gravitational fields"
The present work can be regarded as a corollary to the paper titled "Neutrino
decoherence in presence of strong gravitational fields". Specifically, we
investigate the gravitationally-induced decoherence on neutrino oscillation
from the point of view of a locally inertial observer at rest with neutrino
propagation. In so doing, we observe that in the aforementioned reference frame
the effects of gravity can become manifest in a non-trivial manner with respect
to an observer placed at infinity
Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
We present a novel generalization of the Heisenberg uncertainty principle
which introduces the existence of a maximal observable momentum and at the same
time does not entail a minimal indeterminacy in position. The above result is
an exact generalized uncertainty principle (GUP), valid at all energy scales.
For small values of the deformation parameter , our ansatz is consistent
with the usual expression for GUP borrowed from string theory, doubly special
relativity and other quantum gravity candidates that provide with a
negative sign. As a preliminary analysis, we study the implications of this new
model on some quantum mechanical applications and on the black hole
thermodynamics
Testing gravity with neutrinos: from classical to quantum regime
In this manuscript, we survey the main characteristics that provide neutrinos
with the capability of being the perfect candidate to test gravity. A number of
potentially resourceful scenarios is analyzed, with particular emphasis on how
the versatility of neutrinos lends itself to understand the multifaceted nature
of the gravitational interaction, both at classical and quantum scales. As a
common thread running through the two different regimes, we consider the
fundamental principles underpinning General Relativity and its possible quantum
extensions. Finally, we discuss some open problems and future perspectives
Gravitationally modulated quantum correlations: Discriminating classical and quantum models of ultra-compact objects with Bell nonlocality
We investigate the relation between quantum nonlocality and gravity at the
astrophysical scale, both in the classical and quantum regimes. Considering
particle pairs orbiting in the strong gravitational field of ultra-compact
objects, we find that the violation of Bell inequality acquires an angular
modulation factor that strongly depends on the nature of the gravitational
source. We show how such gravitationally-induced modulation of quantum
nonlocality readily discriminates between black holes (both classical and
inclusive of quantum corrections) and string fuzzballs, i.e., the true quantum
description of ultra-compact objects according to string theory. These findings
promote Bell nonlocality as a potentially key tool in comparing different
models of classical and quantum gravity and putting them to the test.Comment: 12 pages, 4 figure
30 years in: Quo vadis generalized uncertainty principle?
According to a number of arguments in quantum gravity, both model-dependent
and model-independent, Heisenberg's uncertainty principle is modified when
approaching the Planck scale. This deformation is attributed to the existence
of a minimal length. The ensuing models have found entry into the literature
under the term Generalized Uncertainty Principle (GUP). In this work, we
discuss several conceptual shortcomings of the underlying framework and
critically review recent developments in the field. In particular, we touch
upon the issues of relativistic and field theoretical generalizations, the
classical limit and the application to composite systems. Furthermore, we
comment on subtleties involving the use of heuristic arguments instead of
explicit calculations. Finally, we present an extensive list of constraints on
the model parameter , classifying them on the basis of the degree of
rigour in their derivation and reconsidering the ones subject to problems
associated with composites.Comment: 38 pages. Accepted for publication in Classical and Quantum Gravity,
"Special Issue: Focus on Quantum Gravity Phenomenology in the Multi-Messenger
Era: Challenges and Perspectives
Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
We study coherent states associated to a generalized uncertainty principle
(GUP). We separately analyze the cases of positive and negative deformation
parameter , showing that the ensuing probability distribution is a
Tsallis distribution whose non-extensivity parameter is monotonically
related to . Moreover, for (corresponding to ), we
reformulate the GUP in terms of a one-parameter class of Tsallis entropy-power
based uncertainty relations, which are again saturated by the GUP coherent
states. We argue that this combination of coherent states with Tsallis entropy
offers a natural conceptual framework allowing to study quasi-classical regime
of GUP in terms of non-extensive thermodynamics. We substantiate our claim by
discussing generalization of Verlinde's entropic force and ensuing implications
in the late-inflation epoch. Corresponding dependence of the parameter
on cosmological time is derived for the reheating epoch. The obtained
is consistent with values predicted by both string-theory models and the
naturalness principle. Further salient issues, including derivation of new
-dependent expressions for the lowest possible value of the spin and
Immirzi parameter in Loop Quantum Gravity, and connection of our proposal with
the Magueijo--Smolin doubly special relativity are also discussed. This article
provides a more extended and comprehensive treatment of our recent letter
[Phys. Rev. D 105, L121501 (2022)].Comment: 25 pages, 4 figures, accepted to Physical Review
Decoherence limit of quantum systems obeying generalized uncertainty principle: New paradigm for Tsallis thermostatistics
The generalized uncertainty principle (GUP) is a phenomenological model whose purpose is to account for a minimal length scale (e.g., Planck scale or characteristic inverse-mass scale in effective quantum description) in quantum systems. In this paper, we study possible observational effects of GUP systems in their decoherence domain. We first derive coherent states associated to GUP and unveil that in the momentum representation they coincide with Tsallis probability amplitudes, whose nonextensivity parameter q monotonically increases with the GUP deformation parameter β. Second, for β<0 (i.e., q<1), we show that, due to Bekner-Babenko inequality, the GUP is fully equivalent to information-theoretic uncertainty relations based on Tsallis-entropy-power. Finally, we invoke the maximal entropy principle known from estimation theory to reveal connection between the quasiclassical (decoherence) limit of GUP-related quantum theory and nonextensive thermostatistics of Tsallis. This might provide an exciting paradigm in a range of fields from quantum theory to analog gravity. For instance, in some quantum gravity theories, such as conformal gravity, aforementioned quasiclassical regime has relevant observational consequences. We discuss some of the implications
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