Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Recurso digital |
| Idioma: | inglés |
| Publicado: |
Zenodo
2025
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.5281/zenodo.16809182 |
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Table of Contents:
- <p>We derive the Einstein prefactor <span><span>8πG/c48\pi G/c^{4}</span><span><span><span>8</span><span>π</span><span>G</span><span>/</span><span><span>c</span><span><span><span><span><span><span>4</span></span></span></span></span></span></span></span></span></span> from the Quantum Intrinsic Wormhole–Einstein–Cartan (QIW-EC) framework using only Planck-scale discreteness. A coarse-grained phase potential <span><span>θ\theta</span><span><span><span>θ</span></span></span></span> obeys <span><span>∇2θ=−α δρw\nabla^{2}\theta=-\alpha\,\delta\rho_{w}</span><span><span><span>∇<span><span><span><span><span><span>2</span></span></span></span></span></span></span><span>θ</span><span>=</span></span><span><span>−</span><span>α</span><span>δ</span><span><span>ρ</span><span><span><span><span><span><span><span>w</span></span></span></span><span></span></span></span></span></span></span></span></span> with edge-energy <span><span>ε0=ℏc/ℓ⋆\varepsilon_{0}=\hbar c/\ell_\star</span><span><span><span><span>ε</span><span><span><span><span><span><span>0</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>ℏ</span><span>c</span><span>/</span><span>ℓ<span><span><span><span><span><span>⋆</span></span></span><span></span></span></span></span></span></span></span></span>. Matching to linearised GR in the Newtonian limit fixes <span><span>α=(8πG/c4)(ℏ/ℓ⋆)\alpha=(8\pi G/c^{4})(\hbar/\ell_\star)</span><span><span><span>α</span><span>=</span></span><span><span>(</span><span>8</span><span>π</span><span>G</span><span>/</span><span><span>c</span><span><span><span><span><span><span>4</span></span></span></span></span></span></span><span>)</span><span>(</span><span>ℏ/</span><span>ℓ<span><span><span><span><span><span>⋆</span></span></span><span></span></span></span></span></span><span>)</span></span></span></span>. We outline an action-level normalisation to the EC form, discuss torsion corrections, naturalness, mild RG running of <span><span>GG</span><span><span><span>G</span></span></span></span>, and a numerical validation concept (FFT-based Poisson solve). <strong>Figures:</strong> schematic flowchart and mock-data <span><span>⟨∣θ(k)∣2⟩\langle|\theta(\mathbf k)|^{2}\rangle</span><span><span><span>⟨</span><span>∣</span><span>θ</span><span>(</span><span>k</span><span>)</span><span>∣<span><span><span><span><span><span>2</span></span></span></span></span></span></span><span>⟩</span></span></span></span> vs <span><span>k−2k^{-2}</span><span><span><span><span>k</span><span><span><span><span><span><span>−2</span></span></span></span></span></span></span></span></span></span> (full runs pending).<br><strong>DOI:</strong> 10.5281/zenodo.16809182</p>