A semiclassical tetrahedron

TL;DR

This paper develops a semiclassical state for a quantum tetrahedron, where geometric quantities like volume and angles are sharply peaked around classical values, bridging quantum and classical descriptions.

Contribution

It introduces a macroscopic semiclassical state for a quantum tetrahedron with precise geometric expectation values and minimal uncertainties.

Findings

Geometric operators' expectation values match classical tetrahedron values.

Uncertainties in geometric measurements are negligible.

The state provides a bridge between quantum and classical geometry.

Abstract

We construct a macroscopic semiclassical state state for a quantum tetrahedron. The expectation values of the geometrical operators representing the volume, areas and dihedral angles are peaked around assigned classical values, with vanishing relative uncertainties.