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We introduce a framework for Riemannian diffeology. To this end, we use the tangent functor in the sense of Blohmann and one of the options of a metric on a diffeological space in the sense of Iglesias-Zemmour. As a consequence, the…

Differential Geometry · Mathematics 2026-02-05 Katsuhiko Kuribayashi , Keiichi Sakai , Yusuke Shiobara

This work will incorporate a few related tools for addressing the conceptual difficulties arising from sewing together classical and quantum mechanics: deterministic operators, weak measurements and post-selection. Weak Measurement, based…

Quantum Physics · Physics 2016-12-21 Eliahu Cohen , Yakir Aharonov

An overview is presented about old and recent methods to compute the $K\to \pi \pi$ decay amplitude.

High Energy Physics - Lattice · Physics 2007-05-23 Massimo Testa

We derive the gravitational and electrostatic self-energies of a particle at rest in the background of a cosmic dispiration (topological defect), finding that the particle may experience potential steps, well potentials or potential…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , E. S. Moreira

The Weak Gravity Conjecture is typically stated as a bound on the mass-to-charge ratio of a particle in the theory. Alternatively, it has been proposed that its natural formulation is in terms of the existence of a particle which is…

High Energy Physics - Theory · Physics 2021-12-15 Ofer Aharony , Eran Palti

The Weak Gravity Conjecture holds that in a theory of quantum gravity, any gauge force must mediate interactions stronger than gravity for some particles. This statement has surprisingly deep and extensive connections to many different…

High Energy Physics - Theory · Physics 2023-09-14 Daniel Harlow , Ben Heidenreich , Matthew Reece , Tom Rudelius

The time evolution of the two-time conditional probability of the classical stochastic process is described in an analogous form of the quantum mechanical wave equations. By using it, we emulate the same strange behaviors as those of the…

Statistical Mechanics · Physics 2012-01-11 Hiroyuki Tomita

We revisit one of the earliest proposals for deformed dispersion relations in the light of recent results on dynamical dimensional reduction and production of cosmological fluctuations. Depending on the specification of the measure of…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Giulia Gubitosi , Joao Magueijo

Formulas for transverse conductance and dielectric permeability in quantum degenerate collisional plasma with arbitrary variable collision frequency in Mermin's approach are deduced. Frequency of collisions of particles depends arbitrarily…

Plasma Physics · Physics 2013-02-15 A. V. Latyshev , A. A. Yushkanov

We have estimated higher order quantum gravity corrections to de~Sitter spacetime. Our results suggest that, while the classical spacetime metric may be distorted by the graviton self-interactions, the corrections are relatively weaker than…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. D. Dolgov , M. B. Einhorn , V. I. Zakharov

We experimentally investigate the relative advantages of implementing weak-value-based metrology versus standard methods. While the techniques outlined herein apply more generally, we measure small optical beam deflections both using a…

Formulas for transverse conductance and dielectric permeability in quantum non-degenerate and Maxwellian collisional plasma with arbitrary variable collision frequency in Mermin's approach are deduced. Frequency of collisions of particles…

Plasma Physics · Physics 2013-02-19 A. V. Latyshev , A. A. Yushkanov

Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass $M$ and an…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Kimet Jusufi , Nayan Sarkar , Farook Rahaman , Ayan Banerjee , Sudan Hansraj

We correct the proof of Theorem~8 in [\emph{Weak product spaces of Dirichlet series}, Integral Equations Operator Theory \textbf{86} (2016), no.~4, 453--473.]

Functional Analysis · Mathematics 2023-07-06 Ole Fredrik Brevig , Karl-Mikael Perfekt

We study mixed weighted weak-type inequalities for families of functions, which can be applied to study classical operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, J.M. Martell and C. Perez,…

Classical Analysis and ODEs · Mathematics 2016-07-21 Carlos Perez , Sheldy Ombrosi

In the present work, we investigate the gravitational lensing effects of two quantum-modified black hole models recently proposed in effective quantum gravity. The light deflection angles are calculated for both the weak-field and…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Hao Liu , Meng-Yun Lai , Xiao-Yin Pan , Hyat Huang , De-Cheng Zou

Shortcomings of a momentum-space treatment of strong absorption, as discussed in the previous Comment [nucl-th/9611025], are only of concern at low projectile energies, $\gamma$< 1.5. At intermediate and high energies, for which the…

Nuclear Theory · Physics 2007-05-23 C. J. Benesh , A. C. Hayes , J. L. Friar

Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separable Hilbert space. Jackson integrals are expressed in the…

Mathematical Physics · Physics 2025-04-08 Julio Cesar Jaramillo Quiceno , Plamen Neytchev Nechev

The relationships among various parameters describing the strength of optical transitions in atoms and molecules are reviewed. The application of these parameters to the description of the interaction between nearly monochromatic,…

Atomic Physics · Physics 2007-05-23 Robert C. Hilborn

A simple model is constructed which allows to compute modified dispersion relations with effects from loop quantum gravity. Different quantization choices can be realized and their effects on the order of corrections studied explicitly. A…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Martin Bojowald , Hugo A. Morales-Tecotl , Hanno Sahlmann