DEFINITIVE BOND RESULT (N-independence verified)
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N=64 and N=96 give IDENTICAL V(gap=14) = -0.001846
This is REAL PHYSICS, not a lattice artifact.

Formula: V(gap) = -A * gap^(-p) * exp(-2*kappa_kink * gap)
  kappa_kink = sqrt(1 - 0.544) = 0.676
  2*kappa = 1.352 (the measured decay rate)
  p ~ 7 (power law from geometry)
  A depends on r_tube

N-scaling test:
  N=48: V=+0.037 (lattice too small, WRONG)
  N=64: V=-0.001846
  N=96: V=-0.001846 (IDENTICAL to N=64)

R_maj-independence at large gap: V(gap=14) same for R_maj=6 and R_maj=8.
The bond depends on TUBE geometry (r_tube), not RING size (R_maj).
BOND DECAY RATE IDENTIFIED (2026-03-27)
a = kappa_surface * 2d/(2d-1) = 0.9920 * 6/5 = 1.1904 (0.06% match to measured 1.1911)

From N=128 data (5 clean points, gap=12 to 20):
  gap=12: V=-7.87e-02
  gap=14: V=-1.85e-03
  gap=16: V=-1.94e-04
  gap=18: V=-2.79e-05
  gap=20: V=-4.30e-06

N-independent: N=64 and N=96 give identical V to 5 digits.
Physical: surface mode tunneling * lattice coordination 2d/(2d-1).

r_tube SCAN: decay rate NOT universal
  r=2: a=0.96, tachyon (tube too small)
  r=3: a=1.13, matches 6/5*ks to 0.06% (COINCIDENCE)
  r=4: a=1.61, much larger
  r=5: periodic image issues
  
The 6/5 ratio was specific to r_tube=3, not a universal law.
a(r_tube) varies — need Lagrangian to fix r_tube for the proton.
N=128 DATA (7 points, 5 orders of magnitude, R_maj=6):
gap=12: V=-7.865e-02
gap=14: V=-1.847e-03
gap=16: V=-1.937e-04
gap=18: V=-2.794e-05
gap=20: V=-4.300e-06
gap=22: V=-6.800e-07
gap=24: V=-1.100e-07

Exponential fit: a = 1.0725 per site (7-point fit)
RMS ln-residual = 0.57 (gap=12 is 3x above fit = well bottom)
a/kappa_surface = 1.10

NaCl: best with 2/7 ionic = -13.4%. The ionic tier for s-block+ionic
needs (d-1)/(2d+1) = 2/7 instead of 1/7 or 3/7.

CO: -16.7% with sp_boost + het_phase + triple_ionic. Still needs work.
