A possible connection between quantum mechanics and spacetime

TL;DR

This paper proposes a novel interpretation of wave-particle duality as spacetime uncertainty, suggesting a new path integral quantum gravity model that addresses issues in conventional approaches by linking quantum mechanics and spacetime structure.

Contribution

It introduces a new perspective connecting wave-particle duality with spacetime uncertainty and proposes a modified path integral quantum gravity model to resolve existing issues.

Findings

Wave-particle duality interpreted as spacetime uncertainty

Conventional quantum gravity's matter-spacetime correspondence questioned

New path integral quantum gravity model proposed

Abstract

Recent developments in holographic gravity suggest that spacetime structure may be deeply related to quantum mechanics. In this work, from a different perspective, we demonstrate that wave-particle duality can be interpreted as the uncertainty of spacetime for the particle. Summarizing all possible trajectories in conventional path integral quantum mechanics can be transformed into the summation of all possible spacetime metrics. Furthermore, we emphasize that in conventional quantum gravity, it is possible that the classical matter fields correspond to quantum spacetime. We argue that this is not quite reasonable and propose a new path integral quantum gravity model based on the new interpretation of wave-particle duality. In this model, the aforementioned drawback of conventional quantum gravity naturally disappears.