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Symmetric Envelope Interface Chain: Definition, Geometric Properties, and Physical Significance v2.0

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Zenodo2026-08-18 更新2026-08-20 收录
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The Symmetric Envelope Interface Chain is a sequential structure formed by multiple Symmetric Envelope Interfaces generated one after another at constant angular speed ω and connected end-to-end. Each unit is a complete Symmetric Envelope Interface (formed by joining one Survey Line Spiral and one Anti-Survey Line Spiral), and adjacent units are connected at their closure points, forming a continuous chain. Each unit has exactly the same geometry, and the radius at every connection point is r0. The entire chain appears at a fixed frequency f = ω/(2*Theta), with a dynamic generation process. This paper provides its precise definition, parametric equations, time evolution, connection conditions, and geometric properties. This structure can be used to describe periodically appearing closed perceptual interfaces, discrete time frames, or particle sequences. Keywords: Symmetric Envelope Interface Chain, Symmetric Envelope Interface, Survey Line Spiral, Anti-Survey Line Spiral, closure point connection, fixed frequency, dynamic generation

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2026-08-18
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