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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Infinite Descent A Fractal Model of Cosmological Singularity and Subatomic Self-Similarity

Authors: Nasanjargal, Enkhamgalan;

The Infinite Descent A Fractal Model of Cosmological Singularity and Subatomic Self-Similarity

Abstract

Current cosmological models struggle to reconcile the deterministic laws of General Relativity with the probabilistic nature of Quantum Mechanics, particularly at the event horizon of black holes. This paper proposes a novel theoretical framework based on Scale Invariance and Infinite Hierarchical Nesting. We hypothesize that the fundamental geometric form of energy concentration—the sphere—acts as a topological threshold between scales. We argue that when matter reaches a critical density within a spherical volume, it does not collapse into a zero-dimensional singularity but undergoes a phase transition into a sub-scale universe. Furthermore, we propose that the speed of light ($c$) is a scale-dependent limit, permitting superluminal velocities at sub-Planck scales. This fractal cosmology offers a unified solution to the singularity problem, defining the Big Bang not as a unique temporal origin, but as a recurring, scale-dependent event of spherical collapse.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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