TL;DR
This paper discusses relativistic positioning systems based on four clocks broadcasting proper time, proposing a new autonomous navigation framework that does not require external references or synchronization.
Contribution
It introduces the concept of auto-located relativistic positioning systems and their potential application to global navigation without external references.
Findings
Auto-located systems broadcast proper times received from other clocks.
No external reference or synchronization needed for these systems.
Potential application to Earth-based navigation systems.
Abstract
The theory of relativistic {\em location systems} is sketched. An interesting class of these systems is that of relativistic {\em positioning systems,} which consists in sets of four clocks broadcasting their proper time. Among them, the more important ones are the {\em auto-located positioning systems,} in which every clock broadcasts not only its proper time but the proper times that it receives from the other three. At this level, no reference to any exterior system (the Earth surface, for example) and no synchronization are needed. Some properties are presented. In the SYPOR project, such a structure is proposed, eventually anchored to a classical reference system on the Earth surface, as the best relativistic structure for Global Navigation Satellite Systems.
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