Multi-Scale Thermodynamics of the Swirl Condensate: A Unified Hydrodynamic-Topological Framework for Swirl-String Theory
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| Format: | Recurso digital |
| Language: | English |
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2025
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| _version_ | 1866901095528267776 |
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| author | Iskandarani, Omar |
| author_facet | Iskandarani, Omar |
| contents | <div> <pre>We develop a comprehensive thermodynamic formulation of Swirl--String Theory (SST),<br>in which the physical vacuum is modeled as a frictionless, incompressible swirl<br>condensate, and all matter arises as topologically stabilized vortex filaments<br>(``swirl strings''). Building on the quantum--thermodynamic isomorphism of Abe \&<br>Okuyama, we demonstrate that hydrogenic structure, particle masses, vacuum<br>fluctuations, and interaction lifetimes can be reinterpreted as thermodynamic<br>processes involving the swelling, compression, and mode--excitation of vortex<br>cores.<br><br>We define SST Work as the mechanical energy required to deform the vortex core<br>radius against the surrounding swirl pressure, and SST Heat as the energy<br>redistributed among Kelvin modes and topological phase channels. Applying this<br>framework to hydrogen, we show that the Bohr radius is not a probabilistic orbital<br>shell but a thermodynamic equilibrium surface where centrifugal swirl pressure<br>balances vacuum tension.<br><br>We reinterpret the Golden Layer mass hierarchy as a discrete thermodynamic<br>scaling law governed by the golden ratio, emerging from log--periodic structure in<br>the swirl energy density. The Unruh Echo is shown to arise from a two--stage<br>thermodynamic response: a 0.1 ns vorticity burst followed by a delayed<br>electromagnetic transduction pulse around 30 ns. Finally, we derive partition<br>functions, heat capacities, and provide numerical evaluation for a simplified<br>Golden ladder.</pre> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17813283 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Multi-Scale Thermodynamics of the Swirl Condensate: A Unified Hydrodynamic-Topological Framework for Swirl-String Theory Iskandarani, Omar <div> <pre>We develop a comprehensive thermodynamic formulation of Swirl--String Theory (SST),<br>in which the physical vacuum is modeled as a frictionless, incompressible swirl<br>condensate, and all matter arises as topologically stabilized vortex filaments<br>(``swirl strings''). Building on the quantum--thermodynamic isomorphism of Abe \&<br>Okuyama, we demonstrate that hydrogenic structure, particle masses, vacuum<br>fluctuations, and interaction lifetimes can be reinterpreted as thermodynamic<br>processes involving the swelling, compression, and mode--excitation of vortex<br>cores.<br><br>We define SST Work as the mechanical energy required to deform the vortex core<br>radius against the surrounding swirl pressure, and SST Heat as the energy<br>redistributed among Kelvin modes and topological phase channels. Applying this<br>framework to hydrogen, we show that the Bohr radius is not a probabilistic orbital<br>shell but a thermodynamic equilibrium surface where centrifugal swirl pressure<br>balances vacuum tension.<br><br>We reinterpret the Golden Layer mass hierarchy as a discrete thermodynamic<br>scaling law governed by the golden ratio, emerging from log--periodic structure in<br>the swirl energy density. The Unruh Echo is shown to arise from a two--stage<br>thermodynamic response: a 0.1 ns vorticity burst followed by a delayed<br>electromagnetic transduction pulse around 30 ns. Finally, we derive partition<br>functions, heat capacities, and provide numerical evaluation for a simplified<br>Golden ladder.</pre> </div> |
| title | Multi-Scale Thermodynamics of the Swirl Condensate: A Unified Hydrodynamic-Topological Framework for Swirl-String Theory |
| url | https://doi.org/10.5281/zenodo.17813283 |