s1220 — SM-1d displacement vs the golden valley
receipts {'s1217': 'f1461904c53a1542', 's121a': 'af01f1b96491c5ac', 's392': '080c41acaddfa525', 'substrate': '43341215b5224b20'}
  receipt   PASS   s1217_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   D1_the_s1217_displacement_is_seed_dependent   [d(o, T·o) over seeds (20260613, 1, 2, 3, 7, 13, 77): [37.496, 24.538, 23.15, 27.475, 23.477, 26.909, 26.776] (spread 14.3); s1217 seed reproduces d(φ*, T·φ*) = 37.553]
  computed  PASS   D2_H_is_noncompact_and_transpose_swaps_the_grades   [|H − Hᵀ| <1e-12 in the S-orthonormal frame; max residual of g_{+4}ᵀ in g_{−4}: <1e-12]
  computed  PASS   D2_normal_member_is_compact_order_four_and_fixes_the_origin   [[E,Eᵀ] = H to <1e-10; |T_nT_nᵀ − I| <1e-10; |T_n² + I| <1e-10; d(o, T_n·o) <1e-08]
  computed  PASS   D2_normal_member_class_is_6_2_with_s1217_orientation   [class at the origin (6, 2) sign +1 (s1217 bare origin sign +1)]
  computed  PASS   D3_no_live_T_fixes_the_golden_vacuum   [min d(φ*, T·φ*) from 4 starts (start values [1.431, 37.553, 24.637, 27.575]): [0.89323, 0.89323, 0.89323, 0.89323]]
  computed  PASS   D3_every_minimiser_fixes_the_origin   [d(o, T_min·o): ['<1e-06', '<1e-06', '<1e-06', '<1e-06']]
  computed  PASS   D4_min_displacement_is_linear_in_the_golden_deformation   [min_𝒯 d(x_t, T·x_t)/d(o, x_t) at t = 0.25, 0.5, 0.75, 1: [0.9281, 0.9281, 0.9281, 0.9281]]
  computed  PASS   D4_even_and_odd_parts_commute_and_the_midpoint_is_exp_of_the_even_part   [|[Φ_e, Φ_o]| <1e-06; d(midpoint, exp(Φ_e)·o) <1e-06; |Φ_e|/|Φ| = 0.88581, |Φ_o|/|Φ| = 0.46405]
  computed  PASS   D4_the_split_is_intrinsic_though_the_minimising_T_is_not   [max |Φ_even(start) − Φ_even(normal)| <1e-04 across 4 starts; max pairwise |T_min − T_min′| > 1]
  computed  PASS   D5_nearest_T_fixed_point_is_a_Minkowski_critical_point   [V(m) <1e-12, |∇V(m)| <1e-09 (golden: <1e-12 / <1e-09)]
  computed  PASS   D5_the_odd_direction_is_a_physical_flat_modulus   [overlaps of Φ_odd at c*: {'physical': 0.9999, 'zero_modes': 0.9999, 'gauge': 0.0, 'massive': 0.0134}]
  computed  PASS   D5_the_segment_phi_star_to_m_is_flat   [V, |∇V| along c* − s·c_odd: {'0.25': {'V_abs_lt_1e-8': True, 'grad_lt_1e-8': True}, '0.5': {'V_abs_lt_1e-8': True, 'grad_lt_1e-8': True}, '0.75': {'V_abs_lt_1e-8': True, 'grad_lt_1e-8': True}}]
  computed  PASS   D6_m_is_not_a_reoriented_golden_vacuum   [relative residual of Φ_even outside span(golden e1−e3, e1−e2, e2−e3) = 0.4622; Φ = golden e1−e3 exactly]
  argument  ARG    reading

VERDICT SM-1d displacement is a FLAT PHYSICAL MODULUS: min over the live-T family of d(φ*, T·φ*) = 0.89323 (not s1217's seed-specific 37.55), exactly linear along the golden ray (ratio 0.92810 to d(o, x_t)); the nearest T-fixed vacuum m = exp(Φ_even)·o (|Φ_odd|/|Φ| = 0.46405) is a Minkowski critical point in the golden valley; normal live T fix the undressed origin in the (6,2) class. Charge-side (T-fixed) and mass-side (golden) selections disagree by a modulus, not a barrier.
RESULT_HASH 345d5f7fc9c3cbc4
s1220: 18 computed/receipt PASS-able, 1 argument, 0 failed
