Recent advances in deep learning have produced intelligent systems capable of recognizing complex patterns, generating coherent text, and performing tasks once considered the exclusive domain of hu...

As discussed previously, the evolution of a quantum system may be described using two complementary methods: the real-valued action density $\rho(x,t)$ and the complex-valued wave function $\psi(x,...

The repeated execution of the unit action $h$ can be modeled by a point rotating around the unit circle in the complex plane, represented by the complex function: [\psi(\theta) = e^{i \theta} = \c...

Natural Units of Time and Length To describe the dynamics of ant-foraging systems such as 2 and 3, we focus on the fundamental unit of motion: the ant step. Each ant step is characterized by two p...