2D CROSS-SECTION BONDING  CORRECT POLOIDAL WINDING TOPOLOGY
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Single torus (2 tube cross-sections at x=+-R_maj):
  Surface modes: ev = 0.054 x2 (peak at r=4, extends outward)
  Kink modes:    ev = 0.544 x2 (peak at r=0, localized at kink)

Two-torus eigenvalues (EVEN R only, no lattice frustration):
  R  gap       ev0       ev1       ev2       ev3       ev4       ev5
16    0  +0.0543  +0.0543  +0.0543  +0.5435  +0.5436  +0.5438
18    2  +0.0469  +0.0543  +0.0543  +0.3945  +0.5436  +0.5436
20    4  +0.0534  +0.0543  +0.0543  +0.4380  +0.5436  +0.5436
22    6  +0.0542  +0.0543  +0.0543  +0.3270  +0.5436  +0.5436
24    8  +0.0543  +0.0543  +0.0543  +0.1862  +0.5433  +0.5436
26   10  +0.0535  +0.0543  +0.0543  +0.0552  +0.5373  +0.5436
28   12  +0.0542  +0.0543  +0.0543  +0.0545  +0.5421  +0.5436
30   14  +0.0543  +0.0543  +0.0543  +0.0544  +0.5432  +0.5436

KEY FINDINGS:
1. Zero tachyons at all R (correct topology)
2. Bond = kink-to-kink tunnel coupling of INNER tubes
3. ev3 migrates from surface (0.054) to kink (0.544) cluster
4. Maximum kink splitting 0.217 at R=22 (gap=6)
5. Surface modes barely interact (point away from partner)
6. Odd-R has lattice commensurability artifact
