[PDF][PDF] Generalized uncertainty principle from quantum geometry

S Capozziello, G Lambiase, G Scarpetta - arxiv preprint gr-qc/9910017, 1999 - arxiv.org
arxiv:gr-qc/9910017v1 5 Oct 1999 Page 1 arxiv:gr-qc/9910017v1 5 Oct 1999 The
Generalized Uncertainty Principle from Quantum Geometry S. Capozzielloa∗, G. Lambiasea† …

Maximal acceleration in a Lorentz invariant non-commutative space-time

E Harikumar, SK Panja, V Rajagopal - The European Physical Journal …, 2022 - Springer
In this paper, we derive the non-commutative corrections to the maximal acceleration in the
Doplicher–Fredenhagen–Roberts (DFR) space-time and show that the effect of the non …

Upper limit on the acceleration of a quantum evolution in projective Hilbert space

PM Alsing, C Cafaro - arxiv preprint arxiv:2311.18470, 2023 - arxiv.org
It is remarkable that Heisenberg's position-momentum uncertainty relation leads to the
existence of a maximal acceleration for a physical particle in the context of a geometric …

Dynamics of relativistic particles with Lagrangians dependent on acceleration

VV Nesterenko, A Feoli, G Scarpetta - Journal of Mathematical Physics, 1995 - pubs.aip.org
Models of relativistic particles with Lagrangians ℒ (k 1), depending on the curvature of the
worldline k 1, are considered. By making use of the Frenet basis, the equations of motion are …

Schwarzschild field with maximal acceleration corrections

A Feoli, G Lambiase, G Papini, G Scarpetta - Physics Letters A, 1999 - Elsevier
We consider a model in which accelerated particles experience line-elements with maximal
acceleration corrections. When applied to the Schwarzschild metric, the effective field …

Nonlocal approach to energy bands in periodic lattices and emergence of electron mass enhancement

RA El-Nabulsi - Journal of Physics and Chemistry of Solids, 2018 - Elsevier
In this study, we analyze energy bands in periodic lattices based on the nonlocal-in-time
kinetic energy approach introduced recently by Suykens. We consider the electron dynamics …

Nonlocal uncertainty and its implications in quantum mechanics at ultramicroscopic scales

RA El-Nabulsi - Quantum Studies: Mathematics and Foundations, 2019 - Springer
In this paper, we have discussed the implications of quantum acceleratum operator which is
one of the main consequences of nonlocal-in-time kinetic energy approach in quantum …

Some remarks about the effects of acceleration on time dilation in experiments with a Mössbauer source

E Benedetto, A Feoli - The European Physical Journal Plus, 2018 - Springer
We suggest an alternative interpretation of the experimental results obtained studying the
circular accelerated motion of a rotor that plays the role of an absorber of photons emitted by …

Maximal acceleration effects in Kerr space

V Bozza, A Feoli, G Lambiase, G Papini, G Scarpetta - Physics Letters A, 2001 - Elsevier
We consider a model in which accelerated particles experience line-elements with maximal
acceleration corrections that are introduced by means of successive approximations. It is …

Maximal acceleration in non-commutative space–time and its implications

E Harikumar, V Rajagopal - Annals of Physics, 2020 - Elsevier
In this paper, we derive the non-commutative corrections to the maximal acceleration of a
massive particle. Using the eight-dimensional κ-deformed phase-space metric, we obtain …