Title: Non-Euclidean Time Geometry for Quantum Computation
Jincheng Zhang
Abstract
This paper explores the potential of non-Euclidean time geometry as a foundational basis for quantum computation, addressing limitations inherent in traditional Euclidean models. We propose a novel geometric framework that allows for time to be treated as a parameter, enabling the exploration of time-as-a-parameter solutions and offering a potential pathway to more efficient quantum algorithms. The core of this work involves the development of a 'non-linear' geometric structure designed to facilitate the manipulation and interpretation of time within a quantum system. The implications of this approach are significant, potentially revolutionizing the design of quantum architectures and algorithms. We will detail the mathematical foundations of this framework, outlining the key concepts and potential applications, and presenting preliminary results demonstrating the feasibility of utilizing this approach.