Gateway-like absurdly-benign traversable wormhole solutions

TL;DR

This paper constructs a novel class of wormhole solutions with gateway-like properties, utilizing distribution-valued metrics and non-Riemannian effects, culminating in a configuration that requires no negative energy.

Contribution

It introduces a new class of traversable wormhole solutions with restricted degrees of freedom, employing distribution-valued metrics and non-metricity to achieve a zero negative energy requirement.

Findings

Gateway-like wormhole solutions with zero negative energy.

Use of neutrix product for distribution-valued curvature.

Necessity of non-metricity for solution consistency.

Abstract

A class of wormhole solutions is constructed that has restricted polar degrees of freedom to achieve a gateway-like configuration. This compels the use of distribution-valued metrics and connections which further compels the use of neutrix product of distributions, to define distribution-valued curvature, Einstein tensor, and other relevant quantities. The solution demands a spacetime with non-Riemannian effects like non-metricity to be consistent and well-defined, due to the non-associativity of the neutrix product. Finally, the ideal gateway configuration where the negative energy requirement is zero is derived.