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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15708146 |
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| _version_ | 1866901645572440064 |
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| author | Hallman, D. J. |
| author_facet | Hallman, D. J. |
| contents | <p>This work presents a geometric foundation for kinetic theory and continuum transport derived from Spatial-Causal Geometry (SCG). Departing from conventional particle-based and probabilistic frameworks, it models viscosity, thermal conductivity, and diffusion as emergent consequences of curvature dynamics in a causal-density field $\rho(x)$. Transport arises from projection-mediated decoherence between coherent vortex domains, rather than stochastic collisions. A Boltzmann-like equation is derived using projection geometry, yielding explicit transport coefficients from first principles. Classical transport laws are recovered as limiting cases, while the theory extends naturally to coherent, strongly coupled, and nonlocal systems where traditional models fail.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15708146 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Kinetic Theory and Continuum Transport in Spatial-Causal Geometry (SCG) Hallman, D. J. <p>This work presents a geometric foundation for kinetic theory and continuum transport derived from Spatial-Causal Geometry (SCG). Departing from conventional particle-based and probabilistic frameworks, it models viscosity, thermal conductivity, and diffusion as emergent consequences of curvature dynamics in a causal-density field $\rho(x)$. Transport arises from projection-mediated decoherence between coherent vortex domains, rather than stochastic collisions. A Boltzmann-like equation is derived using projection geometry, yielding explicit transport coefficients from first principles. Classical transport laws are recovered as limiting cases, while the theory extends naturally to coherent, strongly coupled, and nonlocal systems where traditional models fail.</p> |
| title | Kinetic Theory and Continuum Transport in Spatial-Causal Geometry (SCG) |
| url | https://doi.org/10.5281/zenodo.15708146 |