Pith. sign in

REVIEW 4 cited by

The Complete Barrett-Crane Model and its Causal Structure

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2206.15442 v2 pith:JXBSX4HZ submitted 2022-06-30 gr-qc hep-th

Alexander F. Jercher , Daniele Oriti , Andreas G. A. Pithis This is my paper · ORCID
classification gr-qchep-th
keywords causalmodelstructurelorentzianamplitudesbarrett-craneexplicitgeometry
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The causal structure is a quintessential element of continuum spacetime physics and needs to be properly encoded in a theory of Lorentzian quantum gravity. Established spin foam (and tensorial group field theory (TGFT)) models mostly work with relatively special classes of Lorentzian triangulations (e.g. built from spacelike tetrahedra only), obscuring the explicit implementation of the local causal structure at the microscopic level. We overcome this limitation and construct a full-fledged model for Lorentzian quantum geometry the building blocks of which include spacelike, lightlike and timelike tetrahedra. We realize this within the context of the Barrett-Crane TGFT model. Following an explicit characterization of the amplitudes via methods of integral geometry, and the ensuing clear identification of local causal structure, we analyze the model's amplitudes with respect to its (space)time-orientation properties and provide also a more detailed comparison with the framework of causal dynamical triangulations (CDT).

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

    gr-qc 2025-01 conditional novelty 6.0 of 10

    A new state sum model for 4D Lorentzian quantum gravity is constructed from quantum edge vectors and related to the Barrett-Crane spin foam model.

  2. An Exactly Soluble Group Field Theory

    gr-qc 2024-12 conditional novelty 6.0 of 10

    A non-interacting group field theory exactly reproduces the Husain-Kuchar model's spinfoam amplitudes and Fock space, bridging canonical and covariant quantization approaches.

  3. (2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality

    gr-qc 2024-11 conditional novelty 6.0 of 10

    A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector an...

  4. Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives

    gr-qc 2024-11 unverdicted novelty 4.0 of 10

    The paper argues that an effective 'hydrodynamics on superspace' framework, realized in TGFT condensate cosmology, can unify quantum gravity and cosmology.

Pith tools