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The causal hierarchy of spacetimes

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arxiv gr-qc/0609119 v3 pith:5IFBKYDE submitted 2006-09-26 gr-qc math.DG

classification gr-qcmath.DG
keywords alternativecausalladderspacetimesconceptsconstructeddefinitionsdeveloped
verification ladder T0 review T1 audit T2 compute T3 formal
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The full causal ladder of spacetimes is constructed, and their updated main properties are developed. Old concepts and alternative definitions of each level of the ladder are revisited, with emphasis in minimum hypotheses. The implications of the recently solved ``folk questions on smoothability'', and alternative proposals (as recent isocausality), are also summarized.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approach

    math-ph 2025-08 conditional novelty 7.0 of 10

    Electromagnetic edge modes on bounded spacetimes with corners are treated as quantum reference frames for large gauge transformations via a state-independent C*-algebraic relativisation map, with superselection sector...

  2. Destructuring Physics: A functional derivation of spacetime

    gr-qc 2025-08 unverdicted novelty 4.0 of 10

    Spacetime can be represented minimally as an arbitrary set equipped with a family of real functions that, the author argues, retains the essential causal, topological, and metric content.

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