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2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.19319549 |
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| _version_ | 1866901058985394176 |
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| author | Nasanjargal, Enkhamgalan |
| author_facet | Nasanjargal, Enkhamgalan |
| contents | <p dir="ltr">This paper proposes the Infinite Fractal Descent (IFD) model, a unified framework wherein the physical constants and fundamental forces of nature are not arbitrary empirical inputs but rather the emergent properties of a scale-invariant, recursive logarithmic geometry. The prevailing paradigm of the Standard Model treats the vacuum as a repository for fluctuating quantum fields superimposed on a largely passive spacetime manifold. The IFD framework diverges fundamentally from this view, demonstrating mathematically that the vacuum is not a void but a dense plenum of nested spheres governed by strict topological rules [User Query]. By formally defining the Fractal Density Constant () and the Geometric Friction (), the IFD model derives the inverse fine-structure constant () and the mass hierarchy of leptons as specific "topological drag" coefficients acting upon volumetric displacements within the plenum [User Query]. Furthermore, the model demonstrates that the Strong Nuclear Force is a geometric "locking" state that occurs at the 9th recursive descent step () of the vacuum's structural hierarchy, precisely predicting the proton charge radius [User Query]. Finally, this continuous recursive descent is mapped to cosmological scales, redefining Dark Energy not as a distinct energetic field, but as the residual fractal drift—a topological pressure exerted by the internal recursive layers against the observable cosmic boundary [User Query]. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19319549 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Infinite Fractal Descent: A Topological Derivation of Physical Constants from Recursive Vacuum Density Nasanjargal, Enkhamgalan <p dir="ltr">This paper proposes the Infinite Fractal Descent (IFD) model, a unified framework wherein the physical constants and fundamental forces of nature are not arbitrary empirical inputs but rather the emergent properties of a scale-invariant, recursive logarithmic geometry. The prevailing paradigm of the Standard Model treats the vacuum as a repository for fluctuating quantum fields superimposed on a largely passive spacetime manifold. The IFD framework diverges fundamentally from this view, demonstrating mathematically that the vacuum is not a void but a dense plenum of nested spheres governed by strict topological rules [User Query]. By formally defining the Fractal Density Constant () and the Geometric Friction (), the IFD model derives the inverse fine-structure constant () and the mass hierarchy of leptons as specific "topological drag" coefficients acting upon volumetric displacements within the plenum [User Query]. Furthermore, the model demonstrates that the Strong Nuclear Force is a geometric "locking" state that occurs at the 9th recursive descent step () of the vacuum's structural hierarchy, precisely predicting the proton charge radius [User Query]. Finally, this continuous recursive descent is mapped to cosmological scales, redefining Dark Energy not as a distinct energetic field, but as the residual fractal drift—a topological pressure exerted by the internal recursive layers against the observable cosmic boundary [User Query]. </p> |
| title | Infinite Fractal Descent: A Topological Derivation of Physical Constants from Recursive Vacuum Density |
| url | https://doi.org/10.5281/zenodo.19319549 |