s1245 — through the wall: the tachyon of F0 condenses in an 8-dimensional fixed set and runs away; the walls are quartic-stable
receipts {'s1239': '5a5c62f3770072d8'}
  tree_potential  {'V_M_vs_CAL_Vf': 2.0301221021717147e-15, 'FD_vs_grad_nc': np.float64(3.5151506705410895e-11), 'F0_flat_and_critical_at_P09_P11': 2.7068294695622863e-15}
  tachyon         {'3': {'negative_count': 2, 'eigs': [-0.070123877, -0.070123875], 'q_k': -0.070123879, 'max_dev_from_q_k': 3.852187402397789e-09, 'dim_L8': 8, 'tachyon_inside_Pi': 0.9999999999999997}, '2': {'negative_count': 2, 'eigs': [-0.201280259, -0.201280258], 'q_k': -0.201280259, 'max_dev_from_q_k': 1.7902380966550169e-09, 'dim_L8': 8, 'tachyon_inside_Pi': 0.9999999999999998}, '1': {'negative_count': 2, 'eigs': [-0.371835788, -0.371835777], 'q_k': -0.371835788, 'max_dev_from_q_k': 1.0728220312117287e-08, 'dim_L8': 8, 'tachyon_inside_Pi': 0.999999999999999}, 'dim_pT0': 6}
  condensation    {'3': {'steps': 310, 'end_V': -282.0846186136199, 'monotone': True, 'grad_start': 5.849653573802485e-05, 'grad_min_after_start': 5.853095438739104e-05, 'T_res_breaking': 9.176586587528179e-11, 'T0_breaking': 0.14023286435688334, 'end_norm_c': 14.398985763239068}, '2': {'steps': 152, 'end_V': -116.74590930463161, 'monotone': True, 'grad_start': 0.00016773715631435626, 'grad_min_after_start': 0.0001680186191435363, 'T_res_breaking': 1.5686386254412866e-11, 'T0_breaking': 0.1397459321219673, 'end_norm_c': 14.000924113820753}}
  quartic         {'fits_a_lambda_e6': {'o_k1': [5.217751709170819e-12, 0.003472211145535409, 0.00010179982425434023], 'o_k1_rotated': [-5.665661398211431e-12, 0.003472232244755028, 9.190679343841115e-05], 'o_k2': [2.968633446977604e-12, 0.003472219952901006, 9.700651930170393e-05], 'o_k2_rotated': [-3.5535711411438833e-12, 0.0034722333212152683, 9.160650646312467e-05], 'o_k3': [-8.375704693618951e-12, 0.0034722399209283876, 8.83781705370665e-05], 'o_k3_rotated': [-6.482403539763177e-12, 0.0034722366037719713, 9.012217225029499e-05], 'c_c_k1': [5.009414269571067e-15, 0.004340270661027191, 0.00012530878904184296], 'c_c_k3': [6.511715929259925e-13, 0.004340272574701247, 0.00012308807519640272], 'regular_wall_k3': [-1.9902058031593824e-11, 0.003582131618294795, 8.756750797054089e-05]}, 'lambda_o': 0.003472228864851178, 'spread_o': 8.28729732358755e-06, 'lambda_c_c': 0.004340271617864219, 'ratio_cc_over_o': 1.2499958346064397, 'lambda_regular_wall': 0.003582131618294795, 'max_quadratic': 1.9902058031593824e-11, 'q_at_o': [0.0, 0.0, 0.0], 'q_at_c_c': [0.0, 1.0, 0.0], 'q_at_wall': [0.075066667, 0.090696067, 0.0]}
  hat_P09         {'eps_star': 0.635, 'V_star': -0.0005895794562141262, 'model': -0.000596282843126948, 'rel_dev': 0.01124195839288078, 'grad_norm': 0.012031472288434144, 'frac_in_pT0': 0.9999989102024295, 'frac_in_Pi3': 0.0014763447946385953}
  receipt   PASS s1239_is_the_filed_kernel_whose_head_supplies_F0_T0_and_the_registered_tree_potential
  receipt   PASS s1244_is_the_filed_kernel_that_located_c_c_and_the_stable_region
  receipt   PASS A1765_report_is_the_source_of_the_closed_form_q_k_and_the_regular_wall_NOT_imported
  receipt   PASS s1225_is_the_filed_evaluator_kernel_executed_head_only
  receipt   PASS s1235_is_the_filed_kernel_whose_charge_construction_is_copied
  receipt   PASS s1238_is_the_filed_house_check_of_the_lanes_point_c_c
  receipt   PASS the_filed_A1764_lane_report_is_the_source_of_B_c_and_of_the_lattice_weights_NOT_imported
  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
  computed  PASS golden_vacuum_is_a_Minkowski_critical_point_as_s121a_says
  computed  PASS golden_vacuum_is_2lnphi_from_the_origin
  receipt   PASS s640_lib_is_the_S220_A_layer_executed_verbatim
  receipt   PASS s646_is_the_source_of_the_SV_vector_operator_executed_verbatim
  receipt   PASS s645c_results_hold_the_P6_gradient_reproduced_here
  computed  PASS the_S220_frame_is_this_kernels_frame
  computed  PASS Z0_the_torus_T0_its_fixed_directions_p0_and_three_commuting_sl2R_planes
  computed  PASS T1_the_two_registered_forms_of_the_tree_potential_agree_grad_nc_is_its_derivative_and_F0_is_flat_and_critical_at_P09_and_P11
  computed  PASS T2_at_three_tachyonic_points_the_only_negative_scalar_pair_has_m2_equal_to_q_k_and_lies_in_the_T0_weight_plane_Pi_k_and_L8_k_has_dimension_8
  computed  PASS T3_from_P09_and_P11_the_condensing_tachyon_descends_monotonically_below_minus_50_without_the_gradient_ever_falling_inside_F1_k_off_F0_runaway
  computed  PASS T4_at_o_c_c_and_a_regular_wall_the_charged_plane_of_each_wall_is_massless_and_quartically_stable_lambda_positive_and_lambda_cc_over_lambda_o_is_5_over_4
  computed  PASS T5_the_bottom_of_the_hat_at_P09_is_not_a_critical_point_its_gradient_lies_along_F0s_directions
  argument  ARG  reading

VERDICT The tachyon at a point of F0 past wall k is its charged pair (m^2 = q_k, plane Pi_k); it condenses inside the 8-dimensional fixed set F1^(k) and the tree potential runs away there (no critical point on the descent); the bottom of the local hat is not critical; the walls and the corners o, c_c are quartic-stable along their wall planes
RESULT_HASH 88496f9b06c4d050
s1245: 10 computed, 12 receipt, 1 argument, 0 failed
