Horndeski theory is the most general scalar-tensor extension of General Relativity with second order field equations. It may be interesting to study the effects of the Generalized uncertainty principle on a static and asymptotically flat shift symmetric solutions of the Horndeski black holes. With this motivation, here we obtain the modified black hole temperatures in shift symmetric Horndeski gravity by employing the Generalized uncertainty principle. Using the corrected temperature, the entropy and heat capacity are calculated with details. We also investigate the tunneling probability of particles from Horndeski black holes horizon and possible correlations between the emitted modes (particles).

In this study, The statistical consequences of minimal length supposition are investigated for a canonical ensemble of ideal gas. These effects are encoded in the socalled Generalized uncertainty principle (GUP) of the second order. In the framework of the considered GUP scenario, a unique partition function is obtained by using two different methods of quantum and classical approaches. It should be noticed that here we consider the magnitude of the momentum in the deformed Hamiltonian of the model. In this way, the model is different from the already existing model which does not have any significant result in the quantum approach. In particular, the corrections to the thermodynamical characteristics such as the mean energy, the entropy and the density of states are achieved. The induced improvements manifest themselves at very high-temperature limits. However, it is shown that, if one applies the predicted observational bound on the GUP deformation parameter, the modifications become more observable even at intermediate temperatures. The deformation parameter of the considered GUP model is also estimated for nowadays precision of measurements of the heat capacity of an ensemble of hydrogen atoms.

Although the tunneling approach is well established for black hole radiation, much works have been done to support the extension of this approach to more general settings. In This letter the Parikh-Kraus-Wilczek tunneling proposal of black hole tunneling radiation is considered. The de Sitter-Schwarzschild black hole thermodynamics is studied, based on both, the Generalized uncertainty principle and the modified dispersion relation analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek calculation of the black hole tunneling probability receive new corrections. The results of this two alternative approaches are identical if one uses the suitable expansion coefficients.

The challenge in developing a theory of quantum gravity stems from the fundamentally different ways the two theories describe physical systems. Quantum mechanics operates on discrete, probabilistic principles, while general relativity is a continuous, deterministic theory. The Generalized uncertainty principle is a modified version of Heisenberg's uncertainty principle that applies quantum gravitational corrections to systems with strong gravity. As a clear example of these systems, white dwarfs can be mentioned. In white dwarfs, the gravitational pressure provides the necessary support against gravitational collapse, however, the Generalized uncertainty principle has been shown to negate the Chandrasekhar limit in the presence of a minimum length, allowing white dwarfs to grow to any size, even infinitely large, which is in contradiction with physical astrophysical observations. This paper modifies the relationship between degeneracy pressure and density in white dwarfs using an alternative form of the uncertainty principle that incorporates a maximum length. We demonstrate that this new formalism recovers the Chandrasekhar limit and resolves the discrepancy between theory and observation.

A double ambiguity has been charged against Rawls’s difference principle (DP). Is it Maximin, Leximin, or something else? Usually, following A. Sen, scholars identify DP with the so-called Leximin. One argues here that one has to distinguish 1° the Leximin, 2° the Maximin (as rule of justice formally analogous to the maximin rule of decision), represented by the figure in L of the perfectly substitutable goods, and 3° the genuine DP. When the augmentation of inequality benefits the worse off, only Pareto-strong improvements are permitted. Leximin would also permit Pareto-weak improvements too (after the first maximum D), where only the richest improves: from (2, 3) to (2, 5), say. This is forbidden by DP. With two classes, unlike Maximin, DP has no curve of indifference and is always decisive, as Leximin is. For undecisive Rules of Justice, which admit indifferent curves, I propose to add a lexically secondary rule, to break ties. That move is able to clarify the links and the differences between on the one hand Maximin alone, with its typical indifference curves in L, and on the other hand, the DP properly understood and the Leximin, which both have no indifferent curves. With two classes of persons (best off/worse off), DP appears more egalitarian than Leximin, because it's secondary rule is MinIn (Minimization of Inequality). But the intuition behind the distinction is that it cannot possible “fair” that only the best off improves in a productive social cooperation.

The Werner Heisenberg's uncertainty principle, with the approach of governing probability rule in the world, provides important philosophical and theological questions, including: The first, what is the relationship between the uncertainty principle and causation? Second, what association is there between the uncertainty and theological questions like existence of God and freewill? Can such principle proves the theological questions or is it able to reject them? the paper comes to the conclusion that the Heisenberg's principle rejects causation. Also having a humble approach to the scientific interpretations, it mentions that without necessity of the creature's existence, it is not logical to trust the scientific theories in order to find any justification for their actions or behaviors. In addition, Heisenberg considers God as a Creator and Dominator of non-determinacy, and based on his idea, the uncertainty principle has a correlation with freewill. Finally, in favor of causality, the paper criticizes the principle and shows that it cannot be against believing to God or freewill.

Here, we have considered the Husimi and Wigner distribution functions. We have, in particular, shown how the uncertainty principle works for the two cases of simple and damped harmonic oscillators when either of these two distributions are used. The conclusion shows that the Husimi distribution function remains non-negative through the phase space but it does not always satisfies the uncertainty principle. On the other hand the Wigner distribution function while becoming negative in certain regions of the phase space do not violate the uncertainty principle.

In this paper, target differentiation based on the pattern of data which are obtained by a set of two ultrasonic sensors is considered. A neural network based target classifier is applied to these data to categorize the data of each sensor. Then the results are fused together by Dempster–Shafer theory (DST) and Dezert–Smarandache theory (DSmT) to make a final decision. The Generalized Aggregated uncertainty measure named GAU1, as an extension to the Aggregated uncertainty (AU), is used to evaluate DSmT. Then the GAU1 and AU as the uncertainty measures are applied to the obtained results of the decision makers to evaluate DSmT and DST accordingly. The introduced configuration for decision making has enough flexibility and robustness to use as a distributed sensor network.

In this article, we present a heuristic derivation of the on-shell equation of the Lorentzian classicalized holographic tensor network in the presence of a non-zero mass in the bulk spacetime. This derivation of the on-shell equation is based on two physical assumptions. First, the Lorentzian bulk theory is in the ground state. Second, the law of Lorentzian holographic gravity is identified with the time--energy uncertainty principle. The arguments in this derivation could lead to a novel picture of Lorentzian gravity as a quantum mechanical time uncertainty based on the holographic principle and classicalization.

Introduction: Current theories in the field have introduced high matching between expenses and revenues as the main factor in predicting stakeholders and decrease in their accounting information uncertainty. The present investigation deals with the question of whether the matching principle can affect the accounting information uncertainty in firm.Methods: The correlation between expenses and revenues is considered as a determining factor in the matching principle based upon this concept and accounting information uncertainty is assessed through measures of volatility of stock return and forcast error of EPS.Based upon theoretical underpinnings, it is assumed that high matching decreases accounting information uncertainty. Thus, as a result of reviewing the literature, two hypotheses were formed and a sample of 78 firms listed in Tehran stock exchange in a 5-year period, 1386-1390, was chosen and underwent scrutiny.Results: The results of testing the hypotheses of the present investigation show that the more matching exists between expenses and revenues, the less volatility of stock return and forcast error of EPS. Therefore, both hypotheses in the investigation were confirmed.Conclusion: Higher matching leads to the decrease in accounting information uncertainty, resulting in the improvement of prediction and decision making for stakeholders of accounting information.