Alcubierre Warp Drive in Bohmian Quantum Gravity

TL;DR

This paper explores the theoretical possibility of realizing Alcubierre warp drive within Bohmian Quantum Gravity by translating the exotic matter requirement into a conformal wave equation involving quantum density.

Contribution

It introduces a novel approach linking warp drive metrics to quantum scalar fields, formulating the exotic matter problem as a fourth order PDE in quantum density.

Findings

Mapping exotic matter to a conformal wave equation

Derivation of a fourth order PDE for quantum density

Potential resolution to the exotic matter problem

Abstract

Alcubierre warp drive metric is coupled to quantum mechanical scalar matter field. The requirement of the exotic matter for the warp drive is mapped into a conformal wave equation. This result into a fourth order partial differential equation in terms of the quantum mechanical density. Finding a proper quantum mechanical density obeying the proposed partial differential equation will be a resolution to the exotic matter problem of Alcubierre warp drive in Bohmian Quantum Gravity context.