{
  "id": "oai:papers.qnfo.org:12-emergence-of-spacetime",
  "slug": "12-emergence-of-spacetime",
  "title": "Emergent Spacetime from Autaxic Relational Dynamics: Quantitative Scaling Laws and Galactic Rotation",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The prevailing view treats spacetime as a pre‑existing arena, a stance that blocks unified descriptions of gravitation and quantum phenomena and incurs large research expenditures. A concrete quantitative gap exists because existing emergent‑spacetime proposals lack computable, falsifiable measures of the geometric structure produced by a relational substrate. We adopt a purely analytical approach that (i) maps the autaxic relational effort metric onto the universal rotation‑curve relation, (ii) models the substrate as a d‑dimensional lattice of process‑events, and (iii) derives three explicit scaling results. The galactic‑rotation calculation yields V≈1.41 (in units G=M=1) for M=10 and r=5. The lattice analysis gives an expected boundary‑touching step count 2n/(dL)=0.667 for d=3, L=100, n=100; a path‑count (2d-1)^r=9,765,625 for d=3, r=10; and identifies d=3 as the marginal dimension separating recurrent from transient influence propagation. If these results hold, theoretical work can replace dark‑matter parametrizations with relational‑effort predictions and guide simulation design with measurable scaling laws, thereby reshaping research priorities in quantum gravity and astrophysics.",
  "abstract_markdown": "The prevailing view treats spacetime as a pre‑existing arena, a stance that blocks unified descriptions of gravitation and quantum phenomena and incurs large research expenditures. A concrete quantitative gap exists because existing emergent‑spacetime proposals lack computable, falsifiable measures of the geometric structure produced by a relational substrate. We adopt a purely analytical approach that (i) maps the autaxic relational effort metric onto the universal rotation‑curve relation, (ii) models the substrate as a $d$‑dimensional lattice of process‑events, and (iii) derives three explicit scaling results. The galactic‑rotation calculation yields $V\\approx1.41$ (in units $G=M=1$) for $M=10$ and $r=5$. The lattice analysis gives an expected boundary‑touching step count $2n/(dL)=0.667$ for $d=3$, $L=100$, $n=100$; a path‑count $(2d-1)^{r}=9{,}765{,}625$ for $d=3$, $r=10$; and identifies $d=3$ as the marginal dimension separating recurrent from transient influence propagation. If these results hold, theoretical work can replace dark‑matter parametrizations with relational‑effort predictions and guide simulation design with measurable scaling laws, thereby reshaping research priorities in quantum gravity and astrophysics.",
  "date": "2025-01-01",
  "first_published": "2025-01-01",
  "last_revised": "2026-10-24T18:11:59Z",
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  "url": "https://papers.qnfo.org/papers/12-emergence-of-spacetime",
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    "titles": [
      {
        "title": "Emergent Spacetime from Autaxic Relational Dynamics: Quantitative Scaling Laws and Galactic Rotation"
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