E3 Image formation — the WHERE channel survives the collapse

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E3 — IMAGE FORMATION   (reduced-eye optics grounded on the internal angle law)
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consumes (frozen): vp_light_emergence_quantum.D/angle · vp_color_by_angle.chi_deg
re-derives: nothing. n, R are MEASURED schematic-eye inputs (cited), never fitted.
invariant quantum size D = 4.852620 pm (byte-identical across both frozen modules).
the INTERNAL angle law sinχ=λ/(mD) carries colour; external Snell is its lab-space shadow.

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PART A — Snell's law = the transverse-oscillation (phase) match; n = c_vac/c_med = √((B/ρ) ratio)
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lattice identity: c_vac=1 (quantum units), c_eye = c_vac/n = 0.750000  ⇒  n = c_vac/c_eye = 1.3333
  (n is the wave-speed ratio = √((B/ρ)_vac /(B/ρ)_med) — the substrate meaning of 'refractive index') [F-identity]

derive θ₂ two independent ways — wavefront/SPEED match vs the index form — over an incidence sweep:
  θ₁(in air) θ₂ via speeds  θ₂ via index       |Δ|
        0.0°     0.000000°     0.000000°  0.00e+00
       10.0°     7.483238°     7.483238°  0.00e+00
       20.0°    14.863381°    14.863381°  0.00e+00
       30.0°    22.024313°    22.024313°  0.00e+00
       45.0°    32.027760°    32.027760°  0.00e+00
       60.0°    40.505350°    40.505350°  0.00e+00
       80.0°    47.612787°    47.612787°  0.00e+00
  → the two code paths agree to 0.0e+00 rad: Snell IS the wavefront/transverse match.  [V]

[TIR] dense→rare (eye→air): critical angle = arcsin(c_eye/c_vac) = 48.5904°
      θ=crit−0.5° refracts (θ₂=82.869°); θ=crit+0.5° has NO real transverse match → total internal reflection (None).  [V]
      [L] the ocular n (≡ the medium's (B/ρ)) is measured/cited; the relation itself is [F].

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PART B — the reduced eye images a distant point ONTO the retina; finite objects invert  [V-arith]
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Emsley reduced eye (CITED): single surface, air n₁=1 → eye n₂=1.3333, R=5.55 mm.
  surface power  P = (n₂−n₁)/R =  60.06 D            (textbook reduced eye ≈ 60 D)
  distant point  v = n₂R/(n₂−n₁) = 22.200 mm        = the axial length (retina) ≈ 22.2 mm
  nodal point    at the centre of curvature = 5.55 mm behind the surface

  a finite object inverts (real image, m<0) — the retina samples a SPATIAL position code:
    object u (mm) image v (mm)  magnification m  orientation
          -1000.0       22.576         -0.01693     inverted
           -500.0       22.965         -0.03445     inverted
           -250.0       23.784         -0.07135     inverted
    → every real object forms a real INVERTED image near the retina: a point above the axis
      maps below the fovea. The image IS a spatial code (retinal position).  [V-arith]
    [honest] Part B is classical ray arithmetic: it consumes Snell (Part A, substrate-grounded)
             + the measured n,R, but the geometry is NOT substrate dynamics. Flagged [V-arith].

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PART C — refraction conserves frequency f ⇒ the colour-angle χ(λ) survives the optics intact
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inherited colour code (vp_color_by_angle): red 633nm → χ=89.9378°, green 532nm → χ=89.8248°
  the two colours are DISTINCT internal angles: Δχ = 0.1130°  (the colour channel)

position channel (single index n=1.3333): red and green image to v_red=22.5759 mm, v_grn=22.5759 mm
  first-order chromatic split |v_red − v_grn| = 0.0e+00 mm = 0 (exactly, single n)
  → the POSITION code merges the colours (same 'where'); the χ ANGLE code separates them (different
    'what colour'). Two orthogonal channels on ONE wave: robust position (θ) + hypersensitive χ.  [F]
  [O] the residual longitudinal chromatic aberration is second-order: it needs the medium's
      dispersion c_med(λ) (the ocular (B/ρ) as a function of λ). The bare angle law fixes that
      colour is an angle and is conserved by the optics — NOT the aberration magnitude (diopters).
      Obstacle: the per-λ medium stiffness is unmeasured here; no diopter number is invented.

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E3 GRADES (VP-SPEC C3) — honest
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  [F] forced     : Snell's law is the transverse-oscillation (phase) match at the interface;
                   n = c_vac/c_med = √((B/ρ) ratio) is the lattice meaning of refractive index;
                   refraction conserves f, so the colour-angle χ(λ) is preserved through optics —
                   position (θ) and colour (χ) are two independent channels of one wave.
  [V] verified   : wavefront/SPEED-Snell = index-Snell to <1e-12 rad; TIR onsets exactly at the
                   critical angle; with one index the colours co-locate (zero first-order split).
  [V-arith]      : the reduced-eye geometry — power ≈60 D, distant focus at the ≈22.2 mm retina,
                   real inverted image (m<0) — is classical ray arithmetic on Snell + measured n,R
                   (consumes the substrate-grounded Snell; the geometry is not substrate dynamics).
  [L] measured   : the ocular index n=4/3 and the surface radius R=5.55 mm (cited Emsley reduced
                   eye); the committed colour anchor 633/532 (inherited). None fitted.
  [O] open       : the longitudinal chromatic aberration MAGNITUDE (needs c_med(λ) = the per-λ
                   ocular (B/ρ)); the absolute photon→firing (Hz) scale (inherited from E2);
                   accommodation dynamics (a variable-power lens). Each obstacle named, not invented.

LEARNED: image formation is the SAME inherited wave seen as the lab-space shadow of the internal
         angle law. The angle theory supplies what external optics alone cannot: the identity
         n = c_vac/c_med, Snell as the transverse-oscillation match, and — because colour IS an
         angle and refraction conserves frequency — the guarantee that the colour code survives
         the optics. The eye forms a real inverted spatial image (a robust POSITION code, classical
         arithmetic) while the hypersensitive χ ANGLE code rides through untouched. The chromatic
         coupling between them is real but second-order; its magnitude is an honest [O]. Foundation
         untouched; nothing fitted; firewall intact.

sha256: 58e5872cdccf1b8a9e279cdfaa3fa2df08b6977b70d8eb415a8f8f96c07277ec