# Building flat space-time from information exchange between quantum fluctuations

## TL;DR

This paper explores a hypothesis that classical flat space-time emerges from quantum fluctuations through information exchange, proposing a statistical model linking interaction rates to space-time structure and examining its implications.

## Contribution

It introduces a novel approach where space-time arises from quantum interaction rates, connecting information exchange to classical geometry and extending to curved space-time considerations.

## Key findings

- Space-time can be modeled as a statistical average of quantum interactions.
- The proposed model aligns with gauge/gravity duality principles.
- Implications for flat and curved space-time structures are discussed.

## Abstract

We consider a hypothesis in which classical space-time emerges from information exchange (interactions) between quantum fluctuations in the gravity theory. In this picture, a line element would arise as a statistical average of how frequently particles interact, through an individual rate $dt\sim 1/f_t$ and spatially interconnecting rates $dl\sim c/f$. The question is if space-time can be modelled consistently in this way. The ansatz would be opposite to the standard treatment of space-time as insensitive to altered physics at event horizons (disrupted propagation of information) but by extension relate to the connection of space-time to entanglement (interactions) through the gauge/gravity duality. We make a first, rough analysis of the implications this type of quantization would have on the classical structure of flat space-time, and of what would be required of the interactions. Seeing no obvious reason for why the origin would be unrealistic, we comment on expected effects in the presence of curvature.