{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"c712737e165be6812239b045cfb123bfffc7fe4bb82b025a7d065edcd3ae86df","created":"2026-10-03T07:18:05Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["05e4da055d00ca967f564973bc20b85087c81e5ba850b0661431ff996a221066","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"5c7c238fea87ec80b8434d23fc2cb30359e8e4756cdf22a5101fa9110f76187a","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"grav.uv-completion.cdt-continuum-limit","kind":"well-posed","literature_status":"contested","n":"1","parents":[{"note":"","parent_revision":"05e4da055d00ca967f564973bc20b85087c81e5ba850b0661431ff996a221066","relation":"special_case"}],"plain":"One approach builds spacetime from tiny four-dimensional building blocks glued with a fixed direction of time and sums over all gluings on a computer. A genuine theory needs a point where the blocks can be made infinitely small, a continuous phase transition, and whether one exists is unsettled.","posed_since":"","precise":"In 4D causal dynamical triangulations the phase diagram in bare couplings $(\\kappa_{0}, \\Delta)$ contains a phase C with de Sitter-like large-scale geometry; transitions bordering phase C, including the one to the bifurcation phase, show second- or higher-order signatures, while the A-C transition is first order (Ambjorn, Jordan, Jurkiewicz, Loll 2012 and later work). Determine whether a second-order critical point exists at which the lattice spacing goes to zero while large-scale geometry approaches a classical 4D solution with finite renormalized Newton constant, and compute its critical exponents. An answer is a finite-size scaling analysis at volumes large enough to fix order and exponents, with a continuum observable that converges.","problem_ref":null,"references":"","settled_by":"Large-volume Monte Carlo finite-size scaling that fixes the transition order and exponents, plus a renormalized gravitational observable with a finite continuum limit.","status_note":"Higher-order transitions are reported (2012-2020) and reviewed as a possible route to a continuum limit (arXiv:2301.06068, 2023), but a renormalization study found no evidence of an ultraviolet fixed point at them (arXiv:2002.01693, 2020); not established as of 2026.","title":"Does causal dynamical triangulations have a continuum limit reproducing 4D gravity?","topic_ref":"c4c16a23d26fb15802115d6c08196860939989b3b47923782e43e698e37ba8b7"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"b7bbfe8d0ad00bcf6ba86d063e9dc071e88ae056cb4d1d9f9d5be8f07e04e065","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"4315ea00a2a6211218c0becf1e7c879b798725a9d29e3b8310a4bdce15f22346","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"VTs5vmnHZ2TNfNplzGXHOZ_oahT4XzDXiTuCwpwKzGIUFdTYMooBdYWY66t8VKM56yLMIZm44gsXMUtudnogDA"},"schema":"pubphys.envelope/1"},"record_hash":"b7bbfe8d0ad00bcf6ba86d063e9dc071e88ae056cb4d1d9f9d5be8f07e04e065","leaf_index":1517}