
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.
| 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
