Finding the basic physical foundation contributing to sustainable development is significantly useful in seeking ways to build an enduring human future. This paper introduces the dissipative structure theory to analyze the entropy budgets of the whole coupled human–Earth system and the key processes of the subsystems, and then presents the formulas to calculate these entropy budgets. The result...

The local ζ−function approach is implemented to regularize the natural path integral definition of the geometric entropy in the large mass black hole Euclidean manifold. The case of a massless field coupled with the (off-shell) singular curvature is considered. It is proved that the geometric entropy is independent of the curvature coupling parameter ξ avoiding negative values obtained in other...

Biological systems possess negative entropy. In them, one form of order produces another, more organized form of order. We propose a formal scheme to calculate robustness of an entire biological system by quantifying the negative entropy present in it. Our Methodology is based upon a computational implementation of two-person non-cooperative finite zero-sum game between positive (physico-chemic...

The geometric entropy in quantum field theory is not a Lorentz scalar and has no invariant meaning, while the black hole entropy is invariant. Renormalization of entropy and energy for reduced density matrices may lead to the negative free energy even if no boundary conditions are imposed. The presence of particles outside the horizon of a uniformly accelerated observer prevents the description...

The Bregman divergence (Bregman distance, Bregman measure of distance) is a certain useful substitute for a distance, obtained from a well-chosen function (the “Bregman function”). Bregman functions and divergences have been extensively investigated during the last decades and have found applications in optimization, operations research, information theory, nonlinear analysis, machine learning ...

Entropy measures of RR interval variability during daily activity over a 24h period were compared in 30 patients with a positive head-up tilt (HUT) test and 30 patients with a negative HUT test who had a history of alleged neurocardiogenic syncope. Two different entropies, approximate entropy (ApEn) and entropy of symbolic dynamics (SymEn), were employed. In patients showing a positive HUT test...

1. Proofs In this section we derive the proofs of all propositions in the main paper. Proposition 1. The AD entropy of the generalized distribution of y can be written as the sum of the negative log-likelihood of y and the AD entropy of the conditional distribution of the hidden variable given the output, Hα,β(Q y x ;w) = − logP (y|x,w) +Hα,β(P y x ;w). (1) Proof. The AD entropy of the generali...

Entropy is a key measure in studies related to information theory and its many applications. Campbell of the first time recognized that exponential of Shannon’s entropy is just the size of the sample space when the distribution is uniform. In this paper, we introduce a quantity which is called exponential Tsallis-Havrda-Charvat entropy and discuss its some properties. Further, we gave the appli...

The study focuses on exploring the concept of negative entropy flow in cyclones and investigates potential applying quantum-inspired approaches to better understand estimate negentropy these complex systems. By incorporating principles from quantum mechanics, such as second law thermodynamics Gibbs energy, we aim improve accuracy predictions for cyclones. Classical methods estimating flow, Shan...