Quantum Simulation of Nonlinear Geometry
Jincheng Zhang
Abstract
Quantum simulation offers a unique pathway to investigate the fundamental properties and dynamics of quantum geometry, providing a powerful tool for modeling complex physical phenomena such as black holes and cosmology. This paper explores the use of quantum simulation to discover and translate geometric patterns into tangible physical outcomes. The core claim centers on leveraging dynamic geometric simulations to reveal underlying quantum geometric principles, ultimately enabling the creation of realistic simulations of these phenomena. Traditional physics simulation relies on classical numerical methods, while quantum simulation represents a transformative approach, offering the potential to unveil geometric realities previously inaccessible to direct observation. The development of this method is driven by the desire to deepen our understanding of the underlying physics through the lens of quantum mechanics.