The Quantum World is an AdS_5 with the Quantum Relativity Symmetry SO(2,4)

TL;DR

This paper proposes a quantum relativity framework with SO(2,4) symmetry, where the quantum world is modeled as an AdS_5 geometry, extending Einstein relativity with fundamental invariants like Planck mass and length.

Contribution

It introduces a deformed quantum relativity theory with SO(2,4) symmetry, connecting quantum space-time structure to an AdS_5 geometry beyond classical space-time.

Findings

Quantum relativity formulated with two invariants: Planck mass and length.

The resulting symmetry group is SO(2,4).

The quantum world corresponds to an AdS_5 geometry.

Abstract

Quantum relativity as a generalized, or rather deformed, version of Einstein relativity with a linear realization on a classical six-geometry beyond the familiar setting of space-time offer a new framework to think about the quantum space-time structure. The formulation requires two deformations to be implemented through imposing two fundamental invariants. We take them to be the independent Planck mass and Planck length. Together, they gives the quantum $\hbar$. The scheme leads to {\small \boldmath\protect SO(2,4)} as the relativity symmetry. The quantum world has an AdS$_5$ `classical' geometry, which is parallel to the "conformal universe", but not scale invariant.