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2026
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| Online Access: | https://doi.org/10.5281/zenodo.20072220 |
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| _version_ | 1866901992321843200 |
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| author | Kapitanov, Fedor |
| author_facet | Kapitanov, Fedor |
| contents | <h2>Abstract</h2> <p>We develop a transport formulation of gravitational propagation within Ontological Resolution Theory (ORT).</p> <p>The framework replaces metric-first interpretations of spacetime geometry with a transport-first description based on local carrier transmissibility.</p> <p>Carrier throughput is defined through the canonical throttling relation:</p> <p>Θ<sub>i</sub> = K<sub>cell</sub> / (K<sub>cell</sub> + ρ<sub>i</sub>)</p> <p>where ρ<sub>i</sub> is local executable load.</p> <p>Propagation is formulated through a transport action:</p> <p>S[γ] = Σ ℓ<sub>ij</sub> / Θ<sub>ij</sub></p> <p>defined on a weighted FCC carrier graph. The physically realized trajectory is the path minimizing accumulated transport cost:</p> <p>γ* = argmin S[γ]</p> <p>We derive the continuum limit:</p> <p>S[γ] → ∫ ds / Θ(r)</p> <p>and show that the corresponding variational formulation reproduces the weak-field light bending coefficient:</p> <p>δφ = 4M / b</p> <p>Within this framework:</p> <ul> <li>gravity is interpreted as throughput modulation,</li> <li>geodesics emerge as optimal routing paths,</li> <li>lensing emerges as transport rerouting through nonuniform carrier transmissibility.</li> </ul> <p>The variational principle is interpreted as the continuum limit of transport optimization on a discrete executable graph.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20072220 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper WR v3.0 Transport Geodesics and Variational Routing in ORT Kapitanov, Fedor <h2>Abstract</h2> <p>We develop a transport formulation of gravitational propagation within Ontological Resolution Theory (ORT).</p> <p>The framework replaces metric-first interpretations of spacetime geometry with a transport-first description based on local carrier transmissibility.</p> <p>Carrier throughput is defined through the canonical throttling relation:</p> <p>Θ<sub>i</sub> = K<sub>cell</sub> / (K<sub>cell</sub> + ρ<sub>i</sub>)</p> <p>where ρ<sub>i</sub> is local executable load.</p> <p>Propagation is formulated through a transport action:</p> <p>S[γ] = Σ ℓ<sub>ij</sub> / Θ<sub>ij</sub></p> <p>defined on a weighted FCC carrier graph. The physically realized trajectory is the path minimizing accumulated transport cost:</p> <p>γ* = argmin S[γ]</p> <p>We derive the continuum limit:</p> <p>S[γ] → ∫ ds / Θ(r)</p> <p>and show that the corresponding variational formulation reproduces the weak-field light bending coefficient:</p> <p>δφ = 4M / b</p> <p>Within this framework:</p> <ul> <li>gravity is interpreted as throughput modulation,</li> <li>geodesics emerge as optimal routing paths,</li> <li>lensing emerges as transport rerouting through nonuniform carrier transmissibility.</li> </ul> <p>The variational principle is interpreted as the continuum limit of transport optimization on a discrete executable graph.</p> |
| title | Paper WR v3.0 Transport Geodesics and Variational Routing in ORT |
| url | https://doi.org/10.5281/zenodo.20072220 |