6 papers
Linear Perturbations and Multi-Probe Diagnostics in Dark-Sector Selective Gravity
L. Yildiz, D. Kayki, E. Gudekli
We develop a dark-sector selective trace-coupled extension of gravity in which the matter--curvature coupling depends exclusively on the trace of the dark-matter energy--momentum t…
Geometry-Driven Resonance and Localization of Light in Fractal Phase Spaces
L. Yıldız, D. Kaykı, M. F. Ciappina
Geometry can fundamentally govern the propagation of light, independent of material constraints. Here, we demonstrate that a fractal phase space, endowed with a non-Euclidean, scal…
Resonant Weighted Nonlocal Schrödinger Equation with Gauge Invariance, Conservation Laws and Measurable Phase Detuning
L. Yildiz, D. Kayki, E. Gudekli
We present a gauge-invariant Schrödinger-type evolution that combines (i) weighted local diffusion, (ii) symmetric nonlocal exchange through a kernel operator, and (iii) a mean-fr…
Causal Viscous Fluids and Non-Singular Cosmological Bounces
L. Yildiz, D. Kayki, E. Gudekli
We investigate the realization of non-singular bouncing cosmologies driven by causal bulk-viscous fluids within General Relativity, gravity, and Loop Quantum Cosmology. Buil…
Thermoelastic Contraction as a Suppressor of Atmospheric Escape in Close-in Exoplanets
L. Yildiz, D. Kayki, E. Gudekli
The long-term retention of substantial atmospheres in close-in exoplanets presents a major challenge to classical hydrodynamic escape theory, which predicts rapid mass loss under i…
Continuity Norm Framework for the Evolution of Nonsingular Matrices
L. Yildiz, D. Kayki, E. Gudekli
Matrix theory, foundational in diverse fields such as mathematics, physics, and computational sciences, typically categorizes matrices based strictly on their invertibility-determi…