Condensed Geometry

TL;DR

This paper proposes a novel quantum gravity framework treating spacetime as a fluid of light cones, where time emerges as a vorticity, and describes phase transitions leading to black hole nucleation at the Planck temperature.

Contribution

It introduces a spin-dependent approach to quantum gravity with a fluid-like spacetime model, incorporating time as a vorticity and linking phase transitions to black hole formation.

Findings

Spacetime viewed as a fluid of SU(2) dipoles of causality.

Emergence of spacetime as a first order phase transition.

Black holes nucleate at the Planck temperature.

Abstract

A spin (dependent) system treatment of gravity is adopted akin to the Sen-Ashtekar treatment. Time is reinserted into the space ``fluid'' at the quantum Level. This time - the Lorentzian one- is shown to be a vorticity of a ``fluid particle'' of the space and the effect is integrated over all the fluid particles to incorporate time in quantum gravity. This spacetime is viewed as a fluid of future light cones called the SU(2) dipoles of causality here in the paper.The future light cone structure is soldered internally to the new variables derived in this paper to accomodate a background free physics of quantum strings. The emergence of spacetime is shown to be a first order phase transition and that of separation of gravity from the unified field to be a second order phase transition. For the former case the cosmic time is chosen as the order parameter and for the latter case the angular momentum is chosen as the order parameter. A quantum blackhole thus nucleates at transition temperature which is the Planck temperature, $\tau_{pl}$. Then the SU(2) dipoles enable interpretation of this black hole as a gravity gauge SL(2,$\mathbb{C}$) dual of the U(1) gauge ferromagnetic phase. The usual QFT interpretation of this effect is the existence of locally Lorentzian spacetimes.