Cosmological Hierarchy from a Golden Logarithmic Spiral on a Cone

We propose a geometric framework in which the cosmological hierarchy emerges from a logarithmic golden spiral defined on a conical surface.The construction is based on two geometric inputs: the golden angle and an effective cone half-angle . These parameters generate a discrete radial ladder with scale ratio .A distinguished resonance scale arises from the intrinsic spiral geometry. Agreement with the observed cosmological hierarchy is obtained when a transferred geometric correction is included, giving .The same geometric parameters appear in both hadronic and cosmological sectors, suggesting a possible self-similar fractal principle postulated prior to these derivations.The present work should be viewed as a…