LFIS–02: Cadence Triangle & Cadence Star Geometry — Derivational Form
BMBeaupain, MIchael John
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Abstract
LFIS–02 derives the geometric backbone of Light Frame Cadence Geometry, establishing the two curvature structures that make the Cadence Law of Motion (S14) possible: the Cadence Triangle and the Cadence Star. The Cadence Triangle defines instantaneous curvature in terms of Temporal Stretch (TS), Temporal Depth (TD), and the finite curvature capacity LFC, shown to satisfy the Pythagorean relation LFC² = TS² + TD² This quadratic form, together with the orthogonality of TS and TD, is derived as the unique curvature structure compatible with cadence-slope invariance C₀ = 1 / c The Cadence Star extends this geometry from local curvature accounting to representational routing, showing that TS and TD project into…
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Authors
1- BMBeaupain, MIchael JohnCorresponding
Topics & keywords
Keywords
- Cadence
- Curvature
- Curvilinear coordinates
- Torsion of a curve
- Torsion (gastropod)
- Radius of curvature
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