We study the scenario of Kanadiakis horizon entropy cosmology which arises from application gravity-thermodynamics conjecture using Kaniadakis modified entropy. The resulting Friedmann equations contain extra terms that constitute an effective dark energy sector. use data Cosmic chronometers, Supernova Type Ia, HII galaxies, Strong lensing systems, and Baryon acoustic oscillations observations ...

In the context of gauge/gravity duality, using proposed candidate $c$-function, which is derived from entanglement entropy a strip-shaped region, we investigate RG flow for $d+1$-dimensional quantum field theories with broken Lorentz and rotational symmetries in IR, but preserved conformal invariance UV boundary. We examine conditions monotonicity $c$-function holographic anisotropic dual to Ei...

We present classes of monogamy inequalities related to the ?th () power entanglement measure based on unified-() entropy, and polygamy ?th assistance by using Hamming weight. show that these are tighter than existing ones. Detailed examples given for illustrating advantages.

We use data from M87* central black hole shadow, as well the S2 star observations, in order to extract constraints on Barrow entropy. The latter is a modified entropy arising quantum-gravitational effects horizon, quantified by new parameter $\Delta$. Such change leads temperature, properties of and its shadow. investigate photon sphere shadow with entropy, assuming simple model for infalling r...

Uncertainty theory is a branch of axiomatic mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. And uncertain variable is a fundamental concept in uncertainty theory which is used to represent imprecise quantities. This paper proposes a definition of quadratic entropy to characterize the uncertainty of uncertain variables resulting fr...

The copula–entropy theory combines the entropy theory and the copula theory. The entropy theory has been extensively applied to derive the most probable univariate distribution subject to specified constraints by applying the principle of maximum entropy. With the flexibility to model nonlinear dependence structure, parametric copulas (e.g., Archimedean, extreme value, meta-elliptical, etc.) ha...