s1223 — the D56 frame-rule census
receipts {'s1221': '223df3ac5e9efa17', 's1220': '516a5537c347cd72', 's121a': 'af01f1b96491c5ac', 'substrate': '43341215b5224b20'}
  receipt   PASS   s1220_is_the_filed_kernel_whose_construction_is_copied
  receipt   PASS   s121a_is_the_file_whose_potential_is_copied
  computed  PASS   the_two_generator_stacks_agree   [s121a np.stack(ph.G) vs s1217 np.stack(sub.G), all 133×56×56]
  computed  PASS   golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says   [V(c*) <1e-12, |∇V(c*)| <1e-09 (s121a base: −1.35e−15 / 2.83e−11)]
  computed  PASS   golden_vacuum_is_2lnphi_from_the_origin   [d(o, φ*) = 0.962424 vs 2 ln φ = 0.962424]
  computed  PASS   F1_the_origin_is_a_Minkowski_critical_point   [V(o) <1e-12, |∇V(o)| <1e-08]
  receipt   PASS   R_A_and_R_C_are_s1221s_filed_results
  computed  PASS   F2_golden_vacuum_fails_SM1d_under_R_B   [R_B representative d(o, y₀) = 0.6425 (3 starts agree; raw d(o, φ*) = 0.9624); δ = 0.3813, 4 of 4 starts within 1e-3]
  computed  PASS   F3_m_also_fails_under_R_B   [m: R_B d(o, y₀) = 0.5931, δ = 0.3399 (s1220: T-fixed in the R_A frame, δ = 0)]
  computed  PASS   F4_positive_control_the_R_B_test_can_pass   [Ψ ∈ 𝔭_even(T_min) ∩ (gauge-nc at o)^⊥ (dim 30 = 40 − rank ≤ 12), |Ψ| 0.3: d(P, T·P) <1e-05; its R_B rep is itself (d(o,y₀) 0.6000 vs 0.6000); δ <1e-06]
  computed  PASS   F5_R_B_is_non_vacuous_a_random_point_fails   [random point (seed 101, |c| = ln φ): δ = 0.3742]
  computed  PASS   F6_on_the_golden_ray_delta_is_linear_only_the_origin_passes   [δ(t = 0.5) / δ(t = 1) = 0.4993; rep distance ratio 0.4998 (both 0.5 ⇒ δ(t) = 0.3813·t, zero only at the origin)]
  computed  PASS   F7_on_the_Phi_odd_line_delta_does_not_vanish   [u = 0.5: δ = 0.2945 (u = 0: 0.3399, u = 1: 0.3813)]
  computed  PASS   F8_R_D_is_not_applicable_to_the_golden_vacuum   [fraction of Φ* in the 35_v (sl(8)-symmetric) = 0.74486 < 1: φ* is not an SL(8)/SO(8) point, so the vacuum-metric 6+2 split is undefined there]
  argument  ARG    reading

VERDICT D56 FRAME-RULE CENSUS: R_A coordinate choice · R_C vacuous · R_D inapplicable at φ* · R_B (origin-anchored, nearest representative) gauge-covariant and non-vacuous: golden fails (δ = 0.3813), m fails (0.3399), random fails, a constructed point passes; δ is linear on the golden ray with its only zero at the origin. Under R_B SM-1d selects the origin, not φ*.
RESULT_HASH 78a15f248bfaa6c7
s1223: 14 computed/receipt PASS-able, 1 argument, 0 failed
