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This article is divided in three sections. In the first section we briefly review some high precision experiments on the Casimir force, underlying an important aspect of the analysis of the data. In the second section we discuss our recent…

Quantum Physics · Physics 2007-05-23 Davide Iannuzzi , Ian Gelfand , Mariangela Lisanti , Federico Capasso

We define a new dynamical variable, the relative existence e, in terms of space and time. Taking it as a generalized positional coordinate, we show that for conservative systems the canonically conjugated momentum is identified as the…

Quantum Physics · Physics 2007-05-23 C. G. S. Costa

Consider nondeterministic finite automata recognizing base-k positional notation of numbers. Assume that numbers are read starting from their least significant digits. It is proved that if two sets of numbers S and T are represented by…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Galina Jirásková , Alexander Okhotin

The search for non-relativistic deviations from Newtonian gravitation can lead to new phenomena signalling the unification of gravity with the other fundamental interactions. Various recent theoretical frameworks indicate a possible window…

High Energy Physics - Phenomenology · Physics 2011-07-19 Roberto Onofrio

According to the theory of relativity, the 4-vector force acting on a particle is orthogonal to the 4-vector velocity of the particle, but we found that the electromagnetic force of the Maxwell's theory can not completely satisfy this…

General Physics · Physics 2007-05-23 Huai-yang Cui

Counter-adversarial system design problems have lately motivated the development of inverse Bayesian filters. For example, inverse Kalman filter (I-KF) has been recently formulated to estimate the adversary's Kalman-filter-tracked estimates…

Optimization and Control · Mathematics 2023-08-11 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

Starting from second order around thermal equilibrium, the response of a statistical mechanical system to an external stimulus is not only governed by dissipation and depends explicitly on dynamical details of the system. The so called…

Statistical Mechanics · Physics 2015-03-04 Urna Basu , Matthias Krüger , Alexandre Lazarescu , Christian Maes

In this work, we introduce a new two component fifth-order bi-Hamiltonian sys- tem admitting the scalar Kupershmidt equation as a reduction.

Exactly Solvable and Integrable Systems · Physics 2013-04-09 Daryoush Talati

We conjecture new uncertainty relations which restrict correlations between results of measurements performed by two separated parties on a shared quantum state. The first uncertainty relation bounds the sum of two mutual informations when…

The role of extra terms in Newton's second law that arise as a result of non-Einstein synchronization is explored. Although such extra terms have been interpreted as pseudo forces that constrain physical theory to a unique method of…

Classical Physics · Physics 2007-05-23 Robert D. Klauber

An upper limit to non-Newtonian attracive forces is obtained from the measurement of quantum states of neutrons in the Earth's gravitational field. This limit improves the existing constrains in the nanometer range.

High Energy Physics - Phenomenology · Physics 2009-11-10 V. V. Nesvizhevsky , K. V. Protasov

For the quintom models with arbitrary potential $V=V(\phi,\sigma)$, the asymptotic value of equation of state parameter w is obtained by a new method. In this method, w of stable attractors are calculated by using the ratio (d ln V)/(d ln…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Masoud Alimohammadi

We describe a systematic search for all strange hypergeometric identities up to a certain complexity with sheer brute force that lead us to the discovery of two new infinite families of closed-form evaluations.

Combinatorics · Mathematics 2008-02-27 Moa Apagodu , Doron Zeilberger

We introduce a new concept called as the mutual uncertainty between two observables in a given quantum state which enjoys similar features like the mutual information for two random variables. Further, we define the conditional uncertainty…

Quantum Physics · Physics 2018-10-03 Sk Sazim , Satyabrata Adhikari , Arun K. Pati , Pankaj Agrawal

Objective: To figure out the underlying physics of QFTs by following the Feynman heuristics lore: I think equation guessing might be the best method to proceed to obtain the laws for the part of physics which is presently unknown.…

General Physics · Physics 2017-04-18 Marijan Ribarič , Luka Šušteršič

The new emerging quantum physics - quantum computing conceptual bridge, mandates a ``grand unification'' of space-time-matter and quantum information (all quantized), with deep implications for science in general. The major physics…

General Physics · Physics 2007-05-23 Lucian M. Ionescu

This paper delves into recent advancements in Quantum Reinforcement Learning (QRL), particularly focusing on non-commutative environments, which represent uncharted territory in this field. Our research endeavors to redefine the boundaries…

Quantum Physics · Physics 2024-06-12 Shubhayan Ghosal

Exploration is a key problem in reinforcement learning. Recently bonus-based methods have achieved considerable successes in environments where exploration is difficult such as Montezuma's Revenge, which assign additional bonuses (e.g.,…

Artificial Intelligence · Computer Science 2020-09-02 Yan Song , Yingfeng Chen , Yujing Hu , Changjie Fan

The new interpretation of Quantum Mechanics is based on a complex probability theory. An interpretation postulate specifies events which can be observed and it follows that the complex probability of such event is, in fact, a real positive…

Quantum Physics · Physics 2007-05-23 Jiri Soucek

A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discussed. An unconstrained, concave, variational principle is…

Classical Physics · Physics 2024-12-31 Amit Acharya
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