Golden Ratio Subdivision in Black Hole Formation and Accretion: A Topological Hypothesis

This paper proposes a topological hypothesis in which gravitational collapse, black hole formation, and accretion dynamics follow recursive subdivision patterns close to the golden ratio. The idea is motivated by a simple topological observation that certain transformations preserve structure when divided near 38:62 proportions, a ratio closely associated with the golden ratio. Extending this observation, the paper suggests that similar subdivision behavior may occur during stellar core collapse, accretion disk organization, and emission ring formation around black holes. The hypothesis is applied to existing multi wavelength observations of M87*, where reported emission ring diameters exhibit ratios close to the golden ratio. Based on this pattern, the paper presents specific, quantitative, and falsifiable predictions for forthcoming Event Horizon Telescope observations at 0.87 mm wavelength, including expected ring scaling and brightness asymmetry. Additional implications are discussed for accretion disk spiral structure and mass partition during core collapse. The proposal is explicitly speculative and does not replace existing relativistic or magnetohydrodynamic models. Instead, it suggests a possible geometric organizing principle that may complement current frameworks if supported by observation. The work emphasizes testability, with clear criteria under which the hypothesis can be confirmed or rejected by near term observational data.