Temporal Physics: Markovian or Non-Markovian?

Temporal Physics: Markovian or Non-Markovian? Abstract This paper presents a novel model of temporal physics, where a system’s state inherently encodes its history. By analyzing the roles of momentum and energy, I examine how conserved quantities link past and present, demonstrating the enduring impact of historical interactions. This study investigates the duality between local and nonlocal descriptions, emphasizing their implications for Markovian and non-Markovian dynamics. The findings suggest that momentum and energy serve as bridges connecting time scales, offering insights into the entanglement of past, present, and future, with potential applications in quantum mechanics and cosmology. Introduction Temporal physics investigates how systems evolve, focusing on how past states influence the present. Traditional models often rely on Markovian assumptions, where predictions depend solely on current states, neglecting historical context. While these assumptions simplify modeling, th...