Complex Lagrangians and phantom cosmology

TL;DR

This paper introduces a classical complex Lagrangian model for scalar fields that, through PT-like symmetry, describes a smooth transition from dark energy to phantom energy in cosmology.

Contribution

It presents a novel classical complex Lagrangian framework inspired by PT symmetry in quantum mechanics to model dark energy transitions in cosmology.

Findings

The model achieves a smooth transition from dark energy to phantom energy.

PT-like symmetry ensures real equations of motion despite complex Lagrangian.

Provides a new classical approach inspired by non-Hermitian quantum theory.

Abstract

Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transition from ordinary dark energy to the phantom one. The model is based on a classical complex Lagrangian of a scalar field. Specific symmetry properties analogous to PT in non-Hermitian quantum mechanics lead to purely real equation of motion.