A Simple Minkowskian Time-Travel Spacetime
John D. Norton

TL;DR
This paper introduces a simple, flat Minkowskian spacetime with a conical singularity that allows observers to travel back in time and encounter their past selves, highlighting non-time-orientability.
Contribution
It presents a novel, simple model of a time-travel spacetime with a conical singularity within Minkowski space, emphasizing its non-time-orientability and geodesic properties.
Findings
Observers can encounter their past selves via geodesics
The spacetime is flat except at a conical singularity
The spacetime is not time-orientable
Abstract
This relativistic, time-travel spacetime is everywhere metrically flat, excepting a conical singularity. Observers following timelike geodesics can eventually encounter their past selves, aging in the opposite time sense. The spacetime is not time-orientable.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect
