Golden Angle Symmetric Envelope Interface Chain: Definition, Geometric Properties, and Physical Significance

Based on the Symmetric Envelope Interface Chain, this paper defines a specific subclass — the Golden Angle Symmetric Envelope Interface Chain. The core characteristic of this structure is that the growth rate b is fixed to the value corresponding to the golden angle: b = ln(φ) / (2π) where φ = (1+√5)/2 is the golden ratio. Under this condition, the ratio of the vertical speed s to the tangential speed v within each Symmetric Envelope Interface unit is constantly b, i.e., s/v = b. This allows the structure to achieve optimal space-filling efficiency and maximum information density while maintaining 90-degree flip self-similarity. This paper provides its precise definition, parameter constraints, geometric properties, and physical significance. Keywords: Golden Angle; Symmetric Envelope Interface Chain; golden ratio; logarithmic spiral; 90-degree flip self-similarity; space-filling efficiency