Replacing the Notion of Spacetime Distance by the Notion of Correlation

Understand

Spacetime is conventionally viewed as a stage on which actors, in the form of fields, move.

• Here, we explore what may lie beyond this picture.
• The starting point is the observation that quantum fluctuations of fields are the more strongly correlated the shorter their spacetime distance.
• As a consequence, the notion of spacetime distance, including the metric as its infinitesimal version, can be replaced by the notion of correlation strength.