Title: Non-Euclidean Metric Space for Quantum Measurement
Jincheng Zhang
Abstract
Quantum measurement is a cornerstone of quantum mechanics, yet the inherent probabilistic nature of the outcome often challenges intuitive interpretations. Traditional approaches treat quantum measurement as a classical process, limiting the possibilities for fundamentally different measurement outcomes. This paper proposes a novel framework for defining and utilizing non-Euclidean metric spaces within quantum measurement, aiming to unlock previously unexplored avenues of quantum phenomena. This framework allows for the exploration of fundamentally different measurement outcomes, potentially revealing new aspects of quantum reality.