Physical Experiments with Cut Möbius Strips: The Perfect Hexagon, the SU(3) Color Triplet, CP Violation, Smale Eversion, and Spin Quantization — Realized with Paper

Abstract This document records original physical experiments with Möbius strips cut along displaced midlines — not at the exact center (s*=0.5) but at arbitrary positions s* between 0 and 1 — across all integer and half-integer cases N=1/2, 1, 2, 3, and 4. For N=1 with displaced cut: two strips of unequal width emerge whose vertices interleave to form a perfect hexagon with diagonal-to-side ratio of exactly 2:1, identified as the SU(3) weight diagram. For N=2 with displaced cut: three strips emerge with 180-degree folds in mutually exclusive arms — F_(1,0,0), F_(0,1,0), F_(0,0,1) — the first physical realization of the SU(3) fundamental color triplet with paper, with mutual interlocking modeling color confinement. For N=3 in three planification forms (figure-8, triangular, circular): three topological invariants are identified — α₁=90°, α₂=45°=180°/(N+1), and a longer strip with ΔC/C=ε_CP~0.001, the first geometric macroscopic measurement of CP asymmetry, verifiable with a ruler. For N=4: the Smale-Boy eversion is physically realized — the original middle strip ends up outside, embracing the two lateral strips — and three spin-2 polarization modes are identified at peak angles 90°, 45°, 0° (m=0, +1, +2). The entanglement matrix of the N=4 complex lobe (linking numbers L=2, 1, 0 for inner, middle, outer strips) provides a geometric correlation with the force hierarchy: the topologically free strip (L=0, largest koppa) corresponds to gravity, the weakest force. Four new mathematical tools are derived: the angular invariant formula α₁(N)=N×90° mod 180°, geometric CP measurement, topological 4D projections, and axis displacement as asymmetry measure.Keywords:Möbius strip; displaced cut; physical experiment; SU(3); weight diagram; hexagon; color triplet; color confinement; CP violation; Berry phase; angular invariant; Smale eversion; spin quantization; entanglement matrix; force hierarchy; gravity; F_N family; closed dipole; Standard Model; Unified Theory of Fields and Universal Dynamics