Krish Jhurani

• University of California, Berkeley

In this research, we explore the role of black holes in the acceleration of cosmic rays, a long-standing enigma in astrophysics. Our focus lies in using computational fluid dynamics (CFD) to simulate the extreme conditions around a black hole and studying its influence on these highly energetic particles. Our methodology centers around a robust CFD...

This paper examines the issue of the existence and nature of time-like geodesics in asymptotically flat spacetimes and proposes a novel generalized topological criterion for the existence of time-like geodesics. Its validity is proved using theorems such as the Jordan-Brouwer Separation Theorem, the Raychaudhuri Equation, and key elements of Differ...

Initial value sensitivity in non-linear first-order differential equations is a critical area of investigation due to its impact on the predictability of mathematical models in diverse fields. This research seeks to bridge the knowledge gap concerning how the structure and non-linearity of these equations influence initial value sensitivity. The st...

For decades, psychological and physiological experiments with various types of meditation have been conducted, with the most typical consequence being an enhanced level of relaxation and serenity in the participant. Many of these experiments, however, were conducted at random times of day, making the body's Circadian Rhythms (24-hour cycle) interfe...

The research paper presents an in-depth analysis of symmetry properties in linear algebraic systems under the operation of non-canonical scalar multiplication structures, specifically semirings and near-rings. The objective is to unveil the profound alterations that occur in traditional linear algebraic structures when we replace the conventional f...

This research paper explores the extension of the Implicit Function Theorem (IFT) to fractal sets. The objective is to establish the existence and differentiability of implicitly defined functions on selected fractal sets, thus generalizing the classical IFT to the realm of fractal geometry. The methodology involves a precise characterization of fr...

This research addresses the influence of Primordial Black Holes (PBHs) on cosmic reionization, using a robust semi-analytical model. This model encapsulates cosmological theory, PBH physics, and radiative transfer, with a lognormal PBH mass function as the fulcrum, with the mean PBH mass set at 30 solar masses and the fraction of dark matter in PBH...

This study investigates the complex dynamics of AGN (Active Galactic Nucleus) jet-cloud interactions, particularly focusing on the impact of non-thermal particle acceleration on the resulting radiative signatures. We utilize advanced computational simulations, tracking changes in jet properties and emissions over a span of 0.2 Myr (millions of year...

This paper examines the issue of the existence and nature of time-like geodesics in asymptotically flat spacetimes and proposes a novel generalized topological criterion for the existence of time-like geodesics. Its validity is proved using theorems such as the Jordan-Brouwer Separation Theorem, the Raychaudhuri Equation, and key elements of Differ...

This study investigates the complex dynamics of AGN (Active Galactic Nucleus) jet-cloud interactions, particularly focusing on the impact of non-thermal particle acceleration on the resulting radiative signatures. We utilize advanced computational simulations, tracking changes in jet properties and emissions over a span of 0.2 Myr (millions of year...

This research addresses the influence of Primordial Black Holes (PBHs) on cosmic reionization, using a robust semi-analytical model. This model encapsulates cosmological theory, PBH physics, and radiative transfer, with a lognormal PBH mass function as the fulcrum, with the mean PBH mass set at 30 solar masses and the fraction of dark matter in PBH...

This research paper explores the extension of the Implicit Function Theorem (IFT) to fractal sets. The objective is to establish the existence and differentiability of implicitly defined functions on selected fractal sets, thus generalizing the classical IFT to the realm of fractal geometry. The methodology involves a precise characterization of fr...