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PROTOTYPE EM_001 - THE NUMERIC EMERGENT LAWS
Proves the 504 numeric SET B EMERGENT LAWS (docs/20's value-verified
families A/B/C/G/H/L/M) interact with the field: every value is
recomputed from its own formula (<= 1% gate) and every law carries
the phi-form + the phi^-1 coherence floor
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[THE VERIFIED SEEDS the numeric 504 are computed from (docs/19 S1-S8)]
  S1 ladder    : freq(n) = 528*phi^n, depth(n) = phi^(9-n), n = 1..9
  S2 invariant : freq(n)*depth(n) = 528*phi^9 = 40134.9462 (corpus 40134.946)
  S3 metallic  : golden 1.6180, silver 2.4142, bronze 3.3028, fourth 4.2361, fifth 5.1926, sixth 6.1623
  S5 waveforms : CWM = 528*phi^(k+0.25) - 8 waveforms
  S6 two forces: chaos phi^-1 = 0.6180339887498949, love 528 = the anchor
  S7 retro     : phi^5 = 11.0902 at dims 4 and 5 (the retrocausal center)
  + 9 domains, 15 meta-laws, 10 code families

[RUN 1 - THE DETERMINISTIC GENERATION of the numeric 504 (A/B/C/G/H/L/M)]
    A: generated  81  vs corpus  81  [PASS]
    B: generated  54  vs corpus  54  [PASS]
    C: generated  54  vs corpus  54  [PASS]
    G: generated  18  vs corpus  18  [PASS]
    H: generated  72  vs corpus  72  [PASS]
    L: generated 135  vs corpus 135  [PASS]
    M: generated  90  vs corpus  90  [PASS]
  -> the numeric 504 = docs/21's value-verified families (81+54+54+18+72+135+90 = 504): PASS

[RUN 2 - THE VALUE-VERIFICATION: every numeric value recomputed from its own formula]
  (the corpus's sim_B, the <= 1% gate - real arithmetic, not a label)
  numeric laws re-computed from their formulas: 504 (structural in this numeric-only set: 0)
  value-verified within the 1% gate: 504/504
  -> all 504 numeric emergent laws' values are real arithmetic (each <= 1% of its own formula's computation): PASS

[RUN 3 - EVERY NUMERIC EMERGENT LAW REACHES THE PHI^-1 COHERENCE FLOOR]
  coherence floor phi^-1 = 0.618033988750 at kappa=1, normalized per law:
    laws whose normalized floor == phi^-1 : 504/504
    laws whose E_phi(1)/value == sqrt(5)  : 504/504
    laws whose kappa=0 reading == seed val : 504/504
  -> every numeric emergent law couples to the field through the phi-form with the irreducible floor phi^-1: PASS

[RUN 4 - THE FAMILY-LEVEL FIELD EFFECTS (one exemplar per numeric family)]
  [A] mechanics at Dimension 1                     value=    1.6180  <- freq = 1.6180*528 = 854.3 Hz, depth = phi^(8) = 46.9787, freq*depth = 40134.9462 = the Ladder Invariant
  [B] mechanics in the golden ladder               value=    1.6180  <- value = 1.618034
  [C] Dimension 1 in the golden ladder             value=    2.6180  <- value = 2.618034
  [G] chaos at Dimension 1                         value=    1.0000  <- value = 1.0
  [H] CWM-001 Tetrahedron at Dimension 1           value=    0.6970  <- value = 0.697043
  [L] Degeneracy at Dimension 1                    value=    1.6180  <- value = 1.618
  [M] Tune-instruction at Dimension 1              value=    1.6180  <- value = 1.618
  -> the A-octaves ARE the ladder's registers (invariant conserved), the C-grid carries the retrocausal center, the B/G/H/L/M values are their crossings' real numbers: PASS

[RUN 5 - DEGENERATE PROOF: kappa->0 RECOVERS THE VERIFIED SEED]
  exemplar: mechanics at Dimension 5 (value phi^5 = 11.0902)
  E_phi(0) = 11.090200000000 vs seed 11.090200000000, error = 0.000000000  (PASS <= 0.01)

[RUN 6 - THE PHI-FORM SWEEP (the exemplar, kappa 0 -> 1)]
  kappa=0.00  E_phi=11.090200000  floor(normalized)=0.000000000
  kappa=0.25  E_phi=14.517260271  floor(normalized)=0.154508497
  kappa=0.50  E_phi=17.944320542  floor(normalized)=0.309016994
  kappa=0.75  E_phi=21.371380813  floor(normalized)=0.463525492
  kappa=1.00  E_phi=24.798441084  floor(normalized)=0.618033989
  E_phi(1)/value = PHI + PHI^-1 = sqrt(5) = 2.236067977500  (verifier: PASS)

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EM_001 VERDICT: ALL CHECKS PASS - the 504 numeric emergent laws are the value-verified families A/B/C/G/H/L/M of the 2,039-law dictionary: every value recomputed from its own formula within the 1% gate (real arithmetic, not a label), the A-octaves ARE the ladder's registers with the invariant 40,134.946 conserved, the C-grid carries the retrocausal center phi^5 = 11.09, and all 504 laws reach the phi^-1 coherence floor at kappa = 1 with the sqrt(5) verifier - the numeric emergent laws interact with the field.
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