Current task: —

E-024 — theta-sweep: theta-independence of consolidation stats; linear-K law

08-19-2026 · 14949 rows · script research/numerics/scripts/E-024-theta-sweep.py

Metadata

Validation checks

V1_lattice_all_theta PASS
V2_theta_pi_matches_E022 PASS
V3_weights_positive PASS

Key values

a4_th0.0000pi{'theta_over_pi': 0.0, 'n_zeros': 381, 'z1_times_a': 3.1471258584711514, 'mass_total': 184.1835959613851, 'mass_pm0.1': 119.4128093530634, 'mass_pm0.05': 91.94966918355006, 'residual': 48.76433809073876, 'valley_mass_mean': 1.0747560148463995, 'plateau_weight_mean': 0.21201886126408157, 'Delta_eff': 1.6231737129268227}
a4_th0.1667pi{'theta_over_pi': 0.1667, 'n_zeros': 381, 'z1_times_a': 3.4619359298190293, 'mass_total': 184.18630284387328, 'mass_pm0.1': 118.29623992508816, 'mass_pm0.05': 86.87180322997308, 'residual': 48.931287590873524, 'valley_mass_mean': 1.0734525020079346, 'plateau_weight_mean': 0.2127447286559719, 'Delta_eff': 1.6185423804514978}
a4_th0.3333pi{'theta_over_pi': 0.3333, 'n_zeros': 381, 'z1_times_a': 3.7176915045337466, 'mass_total': 183.9726782811009, 'mass_pm0.1': 113.57262540386267, 'mass_pm0.05': 85.73049725879235, 'residual': 50.41888852750091, 'valley_mass_mean': 1.0599507123301588, 'plateau_weight_mean': 0.22016981889738385, 'Delta_eff': 1.5715785355566734}
a4_th0.5000pi{'theta_over_pi': 0.5, 'n_zeros': 381, 'z1_times_a': 3.934163190177167, 'mass_total': 183.98559583483848, 'mass_pm0.1': 113.33711825061624, 'mass_pm0.05': 89.82793793217617, 'residual': 50.618934373720066, 'valley_mass_mean': 1.0584655671517333, 'plateau_weight_mean': 0.22104338154462916, 'Delta_eff': 1.566216581357752}
a4_th0.6667pi{'theta_over_pi': 0.6667, 'n_zeros': 381, 'z1_times_a': 4.128324562896003, 'mass_total': 183.9983973653932, 'mass_pm0.1': 119.75726561744686, 'mass_pm0.05': 95.81754097212591, 'residual': 48.13040632212352, 'valley_mass_mean': 1.078317389232299, 'plateau_weight_mean': 0.21017644682150013, 'Delta_eff': 1.6352097313960756}
a4_th0.8333pi{'theta_over_pi': 0.8333, 'n_zeros': 381, 'z1_times_a': 4.314182529701571, 'mass_total': 184.01134904950752, 'mass_pm0.1': 120.40026511109403, 'mass_pm0.05': 90.96419878254113, 'residual': 47.43102136203055, 'valley_mass_mean': 1.0839708546625155, 'plateau_weight_mean': 0.20712236402633416, 'Delta_eff': 1.6550765456169134}
a4_th1.0000pi{'theta_over_pi': 1.0, 'n_zeros': 381, 'z1_times_a': 4.504293602793437, 'mass_total': 184.02432245308052, 'mass_pm0.1': 116.64777135239572, 'mass_pm0.05': 93.33647263205195, 'residual': 48.30754760742576, 'valley_mass_mean': 1.0771172606797996, 'plateau_weight_mean': 0.2109499895520775, 'Delta_eff': 1.6304224593273315}
a8_th0.0000pi{'theta_over_pi': 0.0, 'n_zeros': 763, 'z1_times_a': 3.1437903681267265, 'mass_total': 184.1082994928043, 'mass_pm0.1': 134.20929653000076, 'mass_pm0.05': 123.1835197830814, 'residual': 57.73718018875971, 'valley_mass_mean': 1.002945391301941, 'plateau_weight_mean': 0.09852761124361722, 'Delta_eff': 2.320359515027157}
a8_th0.1667pi{'theta_over_pi': 0.1667, 'n_zeros': 763, 'z1_times_a': 3.418119179475546, 'mass_total': 184.11283914170593, 'mass_pm0.1': 131.8317519020843, 'mass_pm0.05': 126.78097971430489, 'residual': 56.7356526846647, 'valley_mass_mean': 1.010930051246359, 'plateau_weight_mean': 0.09681851993970085, 'Delta_eff': 2.3457877312638367}
a8_th0.3333pi{'theta_over_pi': 0.3333, 'n_zeros': 763, 'z1_times_a': 3.654042277120252, 'mass_total': 184.11760264338506, 'mass_pm0.1': 132.1490251381983, 'mass_pm0.05': 124.0292094105938, 'residual': 58.16107071439245, 'valley_mass_mean': 0.9996550153094651, 'plateau_weight_mean': 0.09925097391534557, 'Delta_eff': 2.3097585025024654}
a8_th0.5000pi{'theta_over_pi': 0.5, 'n_zeros': 763, 'z1_times_a': 3.867441949623103, 'mass_total': 184.12212186389277, 'mass_pm0.1': 133.24139728241443, 'mass_pm0.05': 121.15410070178395, 'residual': 59.85047462666191, 'valley_mass_mean': 0.9862829145811973, 'plateau_weight_mean': 0.10213391574515683, 'Delta_eff': 2.26765839342186}
a8_th0.6667pi{'theta_over_pi': 0.6667, 'n_zeros': 763, 'z1_times_a': 4.071478758632688, 'mass_total': 184.1262503654809, 'mass_pm0.1': 132.29513175105507, 'mass_pm0.05': 122.51608044758039, 'residual': 57.48114969555114, 'valley_mass_mean': 1.0051198465867441, 'plateau_weight_mean': 0.09809069913916582, 'Delta_eff': 2.3269695116402334}
a8_th0.8333pi{'theta_over_pi': 0.8333, 'n_zeros': 763, 'z1_times_a': 4.27766402464752, 'mass_total': 184.12992169567084, 'mass_pm0.1': 131.99007596810569, 'mass_pm0.05': 124.30470833176733, 'residual': 57.28031602287514, 'valley_mass_mean': 1.0067429021650454, 'plateau_weight_mean': 0.09774797956122035, 'Delta_eff': 2.332083020259487}
a8_th1.0000pi{'theta_over_pi': 1.0, 'n_zeros': 763, 'z1_times_a': 4.4968101024775144, 'mass_total': 184.13312237431055, 'mass_pm0.1': 133.51693635274228, 'mass_pm0.05': 124.28962039506533, 'residual': 58.6511497935264, 'valley_mass_mean': 0.9958886712760646, 'plateau_weight_mean': 0.10008728633707581, 'Delta_eff': 2.297592806874823}
a12_th0.0000pi{'theta_over_pi': 0.0, 'n_zeros': 1145, 'z1_times_a': 3.1428501414881977, 'mass_total': 184.16007157245687, 'mass_pm0.1': 133.61538092090012, 'mass_pm0.05': 128.10759866335772, 'residual': 60.30642315719122, 'valley_mass_mean': 0.9829654636132195, 'plateau_weight_mean': 0.06395166824728656, 'Delta_eff': 2.732446371442262}
a12_th0.1667pi{'theta_over_pi': 0.1667, 'n_zeros': 1145, 'z1_times_a': 3.405992501692748, 'mass_total': 184.1639822094043, 'mass_pm0.1': 133.36866840406773, 'mass_pm0.05': 129.35521418242917, 'residual': 60.3669918644722, 'valley_mass_mean': 0.9825157963883501, 'plateau_weight_mean': 0.06401589805352302, 'Delta_eff': 2.73098496176509}
a12_th0.3333pi{'theta_over_pi': 0.3333, 'n_zeros': 1145, 'z1_times_a': 3.635830555925344, 'mass_total': 184.09580595481827, 'mass_pm0.1': 133.41942035595872, 'mass_pm0.05': 129.05415843419973, 'residual': 58.57426551897014, 'valley_mass_mean': 0.9962027018718106, 'plateau_weight_mean': 0.06218074895856703, 'Delta_eff': 2.7739053032480143}
a12_th0.5000pi{'theta_over_pi': 0.5, 'n_zeros': 1145, 'z1_times_a': 3.8476946281889486, 'mass_total': 184.09881987373944, 'mass_pm0.1': 132.95788338488353, 'mass_pm0.05': 129.3505890774291, 'residual': 58.94147251618104, 'valley_mass_mean': 0.9933122806155429, 'plateau_weight_mean': 0.06257056530380153, 'Delta_eff': 2.764750131884173}
a12_th0.6667pi{'theta_over_pi': 0.6667, 'n_zeros': 1145, 'z1_times_a': 4.05423555082551, 'mass_total': 184.10127816912785, 'mass_pm0.1': 133.37160860447023, 'mass_pm0.05': 129.68837121321633, 'residual': 58.35802636312266, 'valley_mass_mean': 0.9979623159206761, 'plateau_weight_mean': 0.06195119571456758, 'Delta_eff': 2.7793686068267633}
a12_th0.8333pi{'theta_over_pi': 0.8333, 'n_zeros': 1145, 'z1_times_a': 4.2666373857585445, 'mass_total': 184.1032513640804, 'mass_pm0.1': 133.09565694496038, 'mass_pm0.05': 129.3399679137547, 'residual': 58.63289108937627, 'valley_mass_mean': 0.9957965101166993, 'plateau_weight_mean': 0.062242984171312424, 'Delta_eff': 2.7724971046813764}
a12_th1.0000pi{'theta_over_pi': 1.0, 'n_zeros': 1145, 'z1_times_a': 4.495304974166889, 'mass_total': 184.10483484645468, 'mass_pm0.1': 133.31147006007708, 'mass_pm0.05': 129.13788187469896, 'residual': 57.594257954705384, 'valley_mass_mean': 1.004052197553566, 'plateau_weight_mean': 0.06114040122580191, 'Delta_eff': 2.7986264096434}
V4_theta_spread{'a4': {'residual_minmax': [47.43102136203055, 50.618934373720066], 'residual_spread_pct': 2.234095821084676, 'mass_pm01_spread_pct': 2.302784187513983, 'z1_times_a_range': [3.1471258584711514, 4.504293602793437]}, 'a8': {'residual_minmax': [56.7356526846647, 59.85047462666191], 'residual_spread_pct': 1.6396401999266315, 'mass_pm01_spread_pct': 0.6333372523281642, 'z1_times_a_range': [3.1437903681267265, 4.4968101024775144]}, 'a12': {'residual_minmax': [57.594257954705384, 60.3669918644722], 'residual_spread_pct': 1.6057262581418954, 'mass_pm01_spread_pct': 0.15063835179687926, 'z1_times_a_range': [3.1428501414881977, 4.495304974166889]}}

Parameters

a_list[4.0, 8.0, 12.0]
thetas_over_pi[0.0, 0.1667, 0.3333, 0.5, 0.6667, 0.8333, 1.0]
z_max300.0
z_metric280.0

Chart

Data preview (14949 rows total)

atheta_over_pikz_kw_k
40.000010.7867814646181.2521991861e-01
40.000021.5735649910911.2522041270e-01
40.000032.3603526899071.2522124976e-01
40.000043.1471467730601.2522244891e-01
40.000053.9339496132921.2522404555e-01
40.000064.7207638123431.2522607436e-01
40.000075.5075922862461.2522860654e-01
40.000086.2944384013821.2523171778e-01
40.000097.0813061251191.2523552374e-01
40.0000107.8682003009991.2524017925e-01
40.0000118.6551269254121.2524591895e-01
40.0000129.4420937527791.2525318549e-01
40.00001310.2291121834551.2526251097e-01
40.00001411.0161985682961.2527516030e-01
40.00001511.8033834931361.2529460662e-01
40.00001612.5907383577251.2533358229e-01
40.00001713.3785842106541.2549744381e-01
40.00001814.1380984997751.1247896433e+00
40.00001914.9515081244331.2550650483e-01
40.00002015.7397940395791.2544893196e-01
40.00002116.5281452983841.2550099131e-01
40.00002217.3170007106531.2561292704e-01
40.00002318.1068616581411.2583627262e-01
40.00002418.8989022311601.2636491920e-01
40.00002519.6972969737941.2824139307e-01