Noble Gas Ladder / Cipher Exploration v124

neon atom · cipher exploration · v124

[ 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
  v121 repair: local maxHeartbeats 1000000 around string witness  TIMEOUT
  v122 repair: flat literal + String.isEmpty + global 2000000     APPLIED
  v123 repair: flat cipher witness + typed capstone proposition    APPLIED
  v124 exploration: polarity | mirror | affine-10 | noble offset   APPLIED

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

  bounded cipher explorer / exact traces

  LifeMark sample:  . . | .
  polarity invert:  | | . |       round-trip -> . . | .       PASS
  mirror reverse:   . | . .       round-trip -> . . | .       PASS
  invert + mirror:  | . | |       round-trip -> . . | .       PASS

  affine digit-10:  f(n) = (3n + 1) mod 10
  encoded trace:    [1,4,7,0,3,6,9,2,5,8]
  decoded trace:    [0,1,2,3,4,5,6,7,8,9]                    PASS

  noble-slot ledger: 166 + 2 = 168
  status: project cipher offset; 168 remains orbital extrapolation
  observed boundary: Z <= 118

Proof anchor

v124_cipher_exploration_full_proof : v124CipherExplorationCapstone

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; v121 records the failed local-heartbeat attempt; v122 repairs the v118 long-string whnf path by flattening the literal and comparing String.isEmpty; v123 applies the same witness to the v120 cipher register and makes the v122 capstone operand a proposition rather than a proof term; v124 adds four bounded cipher probes with explicit inversion, mirror, affine, and noble-slot traces.

Lineage

v123→v124· cipher-exploration

parent Lean SHA-256 · ebe7591c5c4424fd7a79ec14088a2c400f19b83f884d491621a20d7204116b8b

v123 remains preserved as the immediate parent and v122 remains its string-witness ancestor. v124 records only bounded cipher experiments; 166 remains project notation, not silently substituted for the standard 168 extrapolation. No auto-renamed (1) file is part of the lineage.