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The Maximum Entropy Principle (MEP) is a method that can be used to infer the value of an unknown quantity in a set of probability functions. In this work we review two applications of MEP: one giving a precise inference of the Higgs boson…

High Energy Physics - Phenomenology · Physics 2017-11-02 Alexandre Alves , Alex G. Dias , Roberto da Silva

A suitable generalized measurement described by a 4-element positive operator-valued measure (POVM) on each particle of a two-qubit system in the singlet state is, from the point of view of Einstein, Podolsky, and Rosen's (EPR's) criterion…

Quantum Physics · Physics 2009-07-28 Adan Cabello

Uncertainty principle is one of the fundamental principles of quantum mechanics. Exploring such uncertainty relations in pre- and postselected (PPS) systems, where weak measurements on post-selected states have been used as a powerful tool…

Optics · Physics 2024-12-19 Yue Zhang , Xinyang Che , Yuanbang Wei , Rui Tian , Yi-an Li , Miao Zhang , Shuai Li , Bo Liu

The goal of this paper is to develop provably efficient importance sampling Monte Carlo methods for the estimation of rare events within the class of linear stochastic partial differential equations (SPDEs). We find that if a spectral gap…

Probability · Mathematics 2017-05-05 Michael Salins , Konstantinos Spiliopoulos

We calculate the contribution of the $|\Delta S|=1$ $K$ meson exchange process generated by the Cabibbo-Kobayashi-Maskawa matrix to the electric dipole moment (EDM) of the $^9$Be nucleus by considering the $\alpha n - \alpha \Lambda$…

Nuclear Theory · Physics 2019-05-22 Jehee Lee , Nodoka Yamanaka , Emiko Hiyama

The effects of the generalized uncertainty principle (GUP) on the low-energy stationary states of a particle moving in a cavity with no sharp boundaries are determined by means of the perturbation expansion in the framework of…

High Energy Physics - Theory · Physics 2015-06-23 K. Sailer , Z. Peli , S. Nagy

The power-expected-posterior (PEP) prior provides an objective, automatic, consistent and parsimonious model selection procedure. At the same time it resolves the conceptual and computational problems due to the use of imaginary data.…

Methodology · Statistics 2017-10-02 Dimitris Fouskakis , Ioannis Ntzoufras , Konstantinos Perrakis

We prove Rump's 100-euro conjecture by deriving a weighted affine escape theorem from Ball's plank theorem in [Invent. Math. \textbf{104} (1991)]. More precisely, let $\mathbb{K}\in\{\mathbb{R},\mathbb{C}\}$ and let $A\in\mathbb{K}^{n\times…

Functional Analysis · Mathematics 2026-04-17 Teng Zhang

In this work is studied a many body system obeying to a generalized Exclusion-Inclusion Principle (EIP) originated by collective effect, the dynamics, in mean field approximation, being ruled by a nonlinear Schroedinger equation. The EIP is…

Statistical Mechanics · Physics 2016-08-31 Antonio Maria Scarfone

Competitive limits on the weakly interacting massive particle (WIMP) spin-independent scattering cross section are currently being produced by 76Ge detectors originally designed to search for neutrinoless double beta decay, such as the…

Astrophysics · Physics 2014-10-13 Anne M Green

We propose a simple experimental test of the quantum equivalence principle introduced by Zych and Brukner [arXiv:1502.00971], which generalises the Einstein equivalence principle to superpositions of internal energy states. We consider a…

Quantum Physics · Physics 2016-09-13 Patrick J. Orlando , Robert B. Mann , Kavan Modi , Felix A. Pollock

The Standard-Model Extension provides a framework to systematically investigate possible violation of the Lorentz symmetry. Concerning gravity, the linearized version was extensively examined. We here cast the first set of experimental…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Lijing Shao , Quentin G. Bailey

We report a hyperfine-states related weak equivalence principle (WEP) test which searches for possible WEP violation signal in single atom interferometer. With the ground hyperfine states $\left|F=1\right\rangle$ and…

The unknown amplitude law q(x) defining an observed effect may be found using the principle of Extreme Physical Information. EPI is derived as follows. The observations follow an information flow J --> I, with J the information intrinsic to…

Data Analysis, Statistics and Probability · Physics 2014-06-16 B. Roy Frieden , Robert A. Gatenby

In the context of the expected-posterior prior (EPP) approach to Bayesian variable selection in linear models, we combine ideas from power-prior and unit-information-prior methodologies to simultaneously produce a minimally-informative…

Computation · Statistics 2015-04-27 Dimitris Fouskakis , Ioannis Ntzoufras , David Draper

The Einstein Equivalence Principle (EEP) underpins all metric theories of gravity. One of its key aspects is the local position invariance (LPI) of non-gravitational experiments, which is captured by the gravitational red-shift. The iconic…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Daniel R. Terno , Francesco Vedovato , Matteo Schiavon , Alexander R. H. Smith , Piergiovanni Magnani , Giuseppe Vallone , Paolo Villoresi

The most promising candidate for being the fundamental principle of quantum contextuality is the Exclusivity principle, which states that the sum of the probabilities of a set of pairwise exclusive events cannot exceed 1. By itself, the…

Quantum Physics · Physics 2016-10-31 Barbara Amaral

The no-signalling principle is a fundamental assumption in Bell-inequality and quantum-steering experiments. Nonetheless, experimental imperfections can lead to apparent violations beyond those expected from finite-sample statistics. Here,…

The Einstein Equivalence Principle is a fundamental principle of the theory of General Relativity. While this principle has been thoroughly tested with standard matter, the question of its validity in the Dark sector remains open. In this…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-22 N. Mohapi , A. Hees , J. Larena

It is now established that, contrary to common belief, (electro-)vacuum Brans-Dicke gravity does not reduce to general relativity for large values of the Brans-Dicke coupling $\omega$. Since the essence of experimental tests of…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Valerio Faraoni , Jeremy Côté , Andrea Giusti