TL;DR
Spectral Quadruples propose axioms for spacetimes aimed at establishing a foundational framework, currently effective for highly symmetric cases like 1+1 de Sitter spacetime.
Contribution
Introduction of spectral quadruples as a set of axioms for modeling spacetimes, providing a potential testing ground for general formulations.
Findings
Axioms are sufficient for highly symmetric spacetimes
Effective in 1+1 de Sitter spacetime
Potential as a foundational testing framework
Abstract
A set of data supposed to give possible axioms for spacetimes. It is hoped that such a proposal can serve to become a testing ground on the way to a general formulation. At the moment, the axioms are known to be sufficient for cases with a sufficient number of symmetries, in particular for 1+1 de Sitter spacetime.
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