Noble Gas Ladder / Cipher Slot 166 Repair v120

neon atom · noble-gas cipher repair · v120

[ Ne ] neutral center / [0] 1 TORUS · 3 BANDS

0.[Ne].0 relative frame λ RIPPLE · 580nm hit

resonant photon → wavelength ripple

Formal ledger

center: neon atom
atomic number: 10
torus count: 1
compliment field: yes
compliment bands: 3
curvature: relative / flagged
gravity clock: 3 pulses
carrier: inf^-e1 × 3
safety boundary: .5
visible λ span: 400–700 nm
resonant hit: excite → emit → ripple
off-resonance: no forced transition

compliment band A · pull · 30%

compliment band B · homeo · 30%

compliment band C · push · 30%

gap sides · 5% + 5%

red · 700 nm

orange · 620 nm

yellow · 580 nm

green · 530 nm

cyan · 500 nm

blue · 450 nm

violet · 400 nm

Shape register

       wavelength-coded compliment field
        λR  λO  λY  λG  λC  λB  λV
              .-----------.
           [band 2]     [band 1]
              '-----------'
                  [ Ne ]
             neutral atom at [0]
       resonant photon → excite → emit → ripple
             one torus / ring field

  forward: X-inverse + mirror × 6
  reverse: mirror + X-inverse × 6

  repair path / append-only lineage

  v115 : [rippleWithinBound postResonanceRipple]
         decide --> Decidable lookup FAIL
                            |
  v116 : unfold --> 1 <= 1 --> Nat.le_refl 1
                            |
  next : lean compile --> freeze --> extend wavelength law

  proposition-type repair

  v116 : Capstone ∧ post_resonance_ripple_is_homeostatic
         proof term where proposition type was expected  FAIL
                                      |
  v117 : Capstone ∧ rippleWithinBound postResonanceRipple
         exact post_resonance_ripple_is_homeostatic          PASS
                                      |
  next : compile v117 --> freeze --> continue wavelength law

  noble-gas sequence / atomic number (Z)

  known · observed · accepted
  2 He -> 10 Ne -> 18 Ar -> 36 Kr -> 54 Xe -> 86 Rn -> 118 Og
                                                                  |
  next Z = 119       predicted element; not confirmed / not group 18
  v118 simple G18 = 168  orbital extrapolation only; not observed
  v119 cipher slot = 166  predicted by project cipher; not observed chemistry
                         166 + 2 = 168 (explicit bookkeeping relation)
  v120 repair: unfold named defs + unique claim type              PASS

  boundary: no confirmed discovery beyond Z=118
            tiny fusion yield · rapid decay · uncertain superheavy chemistry

Proof anchor

v120_cipher_noble_gas_full_proof : v120CipherNobleGasCapstone

The v114 atom/shell reading remains keyed to neonAtomWithCompliment and neon_atom_invariant. v115 adds the wavelength response; v116 repairs the bound proof; v117 repairs the proposition-versus-proof-term distinction; v118 appends the observed noble-gas register and keeps Z = 119 and the simple Z = 168 group-18 extrapolation explicitly predicted; v119 adds the user-cipher value Z = 166 as a separate predicted slot; v120 repairs v119's declaration-order, name-collision, and unfolding errors with CipherNobleGasClaim120.

Lineage

v119→v120· cipher-slot-166-repair

parent Lean SHA-256 · 5d08a96bc2fe5d58262f59aaa4aa4717439a44a5c1306efc5f38b367c3c2f04f

v119 remains the failed cipher branch and is preserved for provenance. v120 is the repair branch; 166 is recorded as project notation, not silently substituted for the standard 168 extrapolation. No auto-renamed (1) file is part of the lineage.