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This study presents a comparative analysis of static and dynamic number sequences, using the classical Oresme numbers and the novel Keçeci numbers, developed by Mehmet Keçeci, as primary case studies. Static sequences are characterized by a fixed, predictable recurrence relation. The Oresme numbers—the partial sums of the harmonic series (Η_n=∑(k=1)^n 1/k)—exemplify this category. Their generation follows a simple, deterministic rule (Η_n= Η(n-1)+1/n), and their predictable divergence, proven ...

Weyl semimetals (WSMs) have emerged as one of the most groundbreaking discoveries in condensed matter physics in recent years, deepening our fundamental scientific understanding and opening new horizons for future technologies. These materials are named after Hermann Weyl, who in 1929 predicted Weyl fermions – massless, chiral relativistic particles. WSMs, as low-energy excitations of these fermions in solid-state systems, possess special points in their electronic band structure where bands cross ...