Emergent Quantum Field Theory in Finite-Dimensional Space
Jincheng Zhang
Abstract
This paper explores the emergence of quantum field theory within finite-dimensional spaces, a novel approach aiming to circumvent the computational challenges inherent in traditional approaches. We propose a method based on finite-dimensional representations that facilitates the identification of fundamental quantum field properties without the need for exponential complexity. The core mechanism involves leveraging the inherent structure of finite-dimensional spaces to reveal subtle quantum phenomena, potentially offering a pathway toward improved understanding and application in quantum computing and related fields. This work builds upon existing theoretical frameworks while introducing a distinct algorithmic strategy that promises increased tractability and insight.