Positive Energy Warp Drive from Hidden Geometric Structures

TL;DR

This paper introduces a new geometric interpretation of energy in warp drive spacetimes, enabling the creation of superluminal solutions with positive energy densities, significantly reducing energy requirements and advancing prospects for practical interstellar travel.

Contribution

It presents a novel geometric decomposition of energy in warp spacetimes, allowing positive energy configurations that challenge previous negative energy assumptions.

Findings

Superluminal warp solutions with positive energy densities are possible.

Energy requirements are reduced by four orders of magnitude compared to classical models.

Numerical examples demonstrate feasible positive-energy warp configurations.

Abstract

Warp drives in Einstein's general theory of relativity provide a unique mechanism for manned interstellar travel. It is well-known that the classical superluminal soliton spacetimes require negative energy densities, likely sourced by quantum processes of the uncertainty principle. It has even been claimed by few that negative energy densities are a requirement of superluminal motion. However, recent studies suggest this may not be the case. A general decomposition of the defining variables and the corresponding decomposition of the Eulerian energy are studied. A geometrical interpretation of the Eulerian energy is found, shedding new light on superluminal solitons generated by realistic energy distributions. With this new interpretation, it becomes a relatively simple matter to generate solitonic configurations, within a certain subclass, that respect the positive energy constraint. Using this newfound interpretation, a superluminal solitonic spacetime is presented that possesses positive semi-definite energy. A modest numerical analysis is carried out on a set of example configurations, finding total energy requirements four orders of magnitude smaller than the solar mass. Extraordinarily, the example configurations are generated by purely positive energy densities, a tremendous improvement on the classical configurations. The geometrical interpretation of the Eulerian energy thus opens new doors to generating realistic warp fields for laboratory study and potential future manned interstellar travel.