Dimensional Selection Without Dimensional Priors: 4D Lorentzian Dominance in Finite Causal Poset Ensembles Under Consistency-Based Actions
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2026
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| _version_ | 1866901073451548672 |
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| author | Gang, Zhang |
| author_facet | Gang, Zhang |
| contents | <p>We extend a finite causal poset ensemble to include 2D, 3D, and 4D Lorentzian-like families and compare them under original target-anchored and non-target-anchored consistency-based actions across N = 20–72. Systematic ablation localizes low-dimensional bias to a single term (g_dim). Replacing it with a consistency penalty yields systematic 4D dominance (92/98 configurations), with growing margin and 100% seed-robust win rate at N = 68–72 (42/42). These results demonstrate that dimensional selection without dimensional priors is achievable in discrete causal order ensembles.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19048324 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Dimensional Selection Without Dimensional Priors: 4D Lorentzian Dominance in Finite Causal Poset Ensembles Under Consistency-Based Actions Gang, Zhang `causal sets`, `posets`, `dimensional consistency`, `dimension selection`, `linear extensions`, `discrete quantum gravity` <p>We extend a finite causal poset ensemble to include 2D, 3D, and 4D Lorentzian-like families and compare them under original target-anchored and non-target-anchored consistency-based actions across N = 20–72. Systematic ablation localizes low-dimensional bias to a single term (g_dim). Replacing it with a consistency penalty yields systematic 4D dominance (92/98 configurations), with growing margin and 100% seed-robust win rate at N = 68–72 (42/42). These results demonstrate that dimensional selection without dimensional priors is achievable in discrete causal order ensembles.</p> |
| title | Dimensional Selection Without Dimensional Priors: 4D Lorentzian Dominance in Finite Causal Poset Ensembles Under Consistency-Based Actions |
| topic | `causal sets`, `posets`, `dimensional consistency`, `dimension selection`, `linear extensions`, `discrete quantum gravity` |
| url | https://doi.org/10.5281/zenodo.19048324 |