Title: Non-Euclidean Geometry via Quantum Entanglement Propagation
Jincheng Zhang
Abstract
The pursuit of a fundamentally new geometric paradigm challenges traditional notions of space and distance. This paper explores a novel approach to geometry based on quantum entanglement propagation, proposing a mechanism that allows for instantaneous information transfer across distances, potentially surpassing the constraints of classical spacetime. We demonstrate a crucial principle – that entangled quantum systems can effectively transmit geometric data, offering a pathway to a non-Euclidean geometry. The core of this investigation lies in a modified entanglement protocol that incorporates a dynamic 'signature' that guides the propagation of geometric information. The implications of this research extend beyond theoretical novelty, suggesting a potential revolution in computation and understanding of spacetime.