Quantum nature of time -- proposition of experimental verification

TL;DR

This paper proposes an experiment to demonstrate quantum interference in time, aiming to show that time can be treated as a quantum variable similar to spatial coordinates, challenging classical notions.

Contribution

It introduces a novel experimental setup to verify quantum superposition in time, supporting the idea of treating time as a quantum operator.

Findings

Potential observation of interference in time.

Evidence supporting the quantum nature of time.

Unified treatment of space and time in quantum mechanics.

Abstract

In quantum mechanics time usually appears as classical parameter which means that it is treated as being essentially different from spatial coordinates that are represented by operators. On the other hand, relativity theory demands to treat space and time on an equal footing and there are many approaches to the problem how to introduce time operator. In order to support these approaches we propose the experiment that will clearly expose the equivalence of space and time regarding the relation towards quantum interference. The proposed experiment can show that it is possible to have superposition of being created in two different moments in time, and by measuring standard interference pattern, it will be shown that there is interference in time. It is similar to the case of verification of the possibility of single quantum system to be in the state that is superposition of two different positions in space. If so, this would mean that there should be exactly the same formal approach to the space coordinates and time in quantum mechanics since they are all quantum in their nature.