Recorded data and provenance for the associated calculation.
| scope | Frozen Gaussian spatial operator, not nonlinear self-consistent fluctuation spectrum. Ritz counts are floating variational diagnostics, not interval certificates. |
|---|---|
| source_sha256 | 3d8848439351e7fe2760978bc773e1f05bf6940459ad84ddcd4642711e3c5ef5 |
| checks | 70 |
| muon_electron_size_ratio_midgap | 2.4379192534667067 |
View complete data
{
"scope": "Frozen Gaussian spatial operator, not nonlinear self-consistent fluctuation spectrum. Ritz counts are floating variational diagnostics, not interval certificates.",
"source_sha256": "3d8848439351e7fe2760978bc773e1f05bf6940459ad84ddcd4642711e3c5ef5",
"checks": 70,
"rows": [
{
"name": "W",
"d": 2,
"n": 76,
"N": 75,
"D": 2926,
"eta_midgap": "153/2",
"harmonic_rim_x": "152/153",
"harmonic_mean_x": "76/153",
"quartic_shift_over_gap_min": "-722/51",
"quartic_shift_over_gap_max": "-1463/153",
"splitting_over_gap": "703/153",
"ritz": {
"ritz_negative_count": 3003,
"trial_dimension": 3003,
"max_eigenvalue_over_blocks": -2.7334587826677836
},
"quadrature_max_eigenvalue_change": 1.1146639167236572e-13,
"g_eps_over_a_midgap": 25.13381491041814,
"g_eps_over_a_band_interval": [
24.806341991981743,
25.463435192254114
]
},
{
"name": "Z",
"d": 2,
"n": 81,
"N": 80,
"D": 3321,
"eta_midgap": "163/2",
"harmonic_rim_x": "162/163",
"harmonic_mean_x": "81/163",
"quartic_shift_over_gap_min": "-4921/326",
"quartic_shift_over_gap_max": "-3321/326",
"splitting_over_gap": "800/163",
"ritz": {
"ritz_negative_count": 3403,
"trial_dimension": 3403,
"max_eigenvalue_over_blocks": -2.8149255145716445
},
"quadrature_max_eigenvalue_change": 9.237055564881302e-14,
"g_eps_over_a_midgap": 25.133687206632704,
"g_eps_over_a_band_interval": [
24.826244384465685,
25.443021984628448
]
},
{
"name": "Higgs",
"d": 2,
"n": 95,
"N": 94,
"D": 4560,
"eta_midgap": "191/2",
"harmonic_rim_x": "190/191",
"harmonic_mean_x": "95/191",
"quartic_shift_over_gap_min": "-6769/382",
"quartic_shift_over_gap_max": "-2280/191",
"splitting_over_gap": "2209/382",
"ritz": {
"ritz_negative_count": 4656,
"trial_dimension": 4656,
"max_eigenvalue_over_blocks": -3.0234568993662276
},
"quadrature_max_eigenvalue_change": 1.2301271112846734e-13,
"g_eps_over_a_midgap": 25.13343017447571,
"g_eps_over_a_band_interval": [
24.870941840919198,
25.39729639954696
]
},
{
"name": "down",
"d": 3,
"n": 1,
"N": 0,
"D": 1,
"eta_midgap": "2",
"harmonic_rim_x": "3/4",
"harmonic_mean_x": "3/8",
"quartic_shift_over_gap_min": "-15/64",
"quartic_shift_over_gap_max": "-15/64",
"splitting_over_gap": "0",
"ritz": {
"ritz_negative_count": 1,
"trial_dimension": 4,
"max_eigenvalue_over_blocks": 0.10513319552010664
},
"quadrature_max_eigenvalue_change": 1.4988010832439613e-15,
"sigma_for_g_eps_over_2a_equal_one": 0.015873408983560242
},
{
"name": "strange",
"d": 3,
"n": 4,
"N": 3,
"D": 20,
"eta_midgap": "5",
"harmonic_rim_x": "9/10",
"harmonic_mean_x": "9/20",
"quartic_shift_over_gap_min": "-119/160",
"quartic_shift_over_gap_max": "-99/160",
"splitting_over_gap": "1/8",
"ritz": {
"ritz_negative_count": 35,
"trial_dimension": 35,
"max_eigenvalue_over_blocks": -0.2101262620089035
},
"quadrature_max_eigenvalue_change": 2.4424906541753444e-15,
"sigma_for_g_eps_over_2a_equal_one": 0.05079490874739278
},
{
"name": "up",
"d": 4,
"n": 3,
"N": 2,
"D": 15,
"eta_midgap": "9/2",
"harmonic_rim_x": "8/9",
"harmonic_mean_x": "4/9",
"quartic_shift_over_gap_min": "-2/3",
"quartic_shift_over_gap_max": "-5/9",
"splitting_over_gap": "1/9",
"ritz": {
"ritz_negative_count": 35,
"trial_dimension": 35,
"max_eigenvalue_over_blocks": -0.15720500000000115
},
"quadrature_max_eigenvalue_change": 5.467848396278896e-15,
"sigma_for_g_eps_over_2a_equal_one": 0.13697876534699996
},
{
"name": "charm",
"d": 4,
"n": 20,
"N": 19,
"D": 8855,
"eta_midgap": "43/2",
"harmonic_rim_x": "42/43",
"harmonic_mean_x": "21/43",
"quartic_shift_over_gap_min": "-165/43",
"quartic_shift_over_gap_max": "-231/86",
"splitting_over_gap": "99/86",
"ritz": {
"ritz_negative_count": 10626,
"trial_dimension": 10626,
"max_eigenvalue_over_blocks": -1.329446383416069
},
"quadrature_max_eigenvalue_change": 1.4210854715202004e-14,
"sigma_for_g_eps_over_2a_equal_one": 0.696587945173632
},
{
"name": "top",
"d": 4,
"n": 72,
"N": 71,
"D": 1215450,
"eta_midgap": "147/2",
"harmonic_rim_x": "146/147",
"harmonic_mean_x": "73/147",
"quartic_shift_over_gap_min": "-666/49",
"quartic_shift_over_gap_max": "-2701/294",
"splitting_over_gap": "185/42",
"ritz": {
"ritz_negative_count": 1282975,
"trial_dimension": 1282975,
"max_eigenvalue_over_blocks": -2.682767682169981
},
"quadrature_max_eigenvalue_change": 1.1857181902996672e-13,
"sigma_for_g_eps_over_2a_equal_one": 2.3872689066226207
},
{
"name": "nu1",
"d": 5,
"n": 10,
"N": 9,
"D": 2002,
"eta_midgap": "12",
"harmonic_rim_x": "23/24",
"harmonic_mean_x": "23/48",
"quartic_shift_over_gap_min": "-261/128",
"quartic_shift_over_gap_max": "-575/384",
"splitting_over_gap": "13/24",
"ritz": {
"ritz_negative_count": 3003,
"trial_dimension": 3003,
"max_eigenvalue_over_blocks": -0.8267229575608743
},
"quadrature_max_eigenvalue_change": 9.769962616701378e-15,
"sigma_for_g_eps_over_2a_equal_one": 0.5198570883677428
},
{
"name": "nu2",
"d": 5,
"n": 15,
"N": 14,
"D": 11628,
"eta_midgap": "17",
"harmonic_rim_x": "33/34",
"harmonic_mean_x": "33/68",
"quartic_shift_over_gap_min": "-1631/544",
"quartic_shift_over_gap_max": "-1155/544",
"splitting_over_gap": "7/8",
"ritz": {
"ritz_negative_count": 15504,
"trial_dimension": 15504,
"max_eigenvalue_over_blocks": -1.1171165950668713
},
"quadrature_max_eigenvalue_change": 1.0658141036401503e-14,
"sigma_for_g_eps_over_2a_equal_one": 0.740831038810485
},
{
"name": "nu3",
"d": 5,
"n": 22,
"N": 21,
"D": 65780,
"eta_midgap": "24",
"harmonic_rim_x": "47/48",
"harmonic_mean_x": "47/96",
"quartic_shift_over_gap_min": "-1101/256",
"quartic_shift_over_gap_max": "-2303/768",
"splitting_over_gap": "125/96",
"ritz": {
"ritz_negative_count": 80730,
"trial_dimension": 80730,
"max_eigenvalue_over_blocks": -1.4345188807894886
},
"quadrature_max_eigenvalue_change": 1.2878587085651816e-14,
"sigma_for_g_eps_over_2a_equal_one": 1.0489156654620924
},
{
"name": "electron",
"d": 6,
"n": 13,
"N": 12,
"D": 18564,
"eta_midgap": "31/2",
"harmonic_rim_x": "30/31",
"harmonic_mean_x": "15/31",
"quartic_shift_over_gap_min": "-84/31",
"quartic_shift_over_gap_max": "-60/31",
"splitting_over_gap": "24/31",
"ritz": {
"ritz_negative_count": 27132,
"trial_dimension": 27132,
"max_eigenvalue_over_blocks": -1.0373810215330341
},
"quadrature_max_eigenvalue_change": 1.0880185641326534e-14,
"sigma_for_g_eps_over_2a_equal_one": 0.747080050694899
},
{
"name": "muon",
"d": 6,
"n": 35,
"N": 34,
"D": 3838380,
"eta_midgap": "75/2",
"harmonic_rim_x": "74/75",
"harmonic_mean_x": "37/75",
"quartic_shift_over_gap_min": "-171/25",
"quartic_shift_over_gap_max": "-703/150",
"splitting_over_gap": "323/150",
"ritz": {
"ritz_negative_count": 4496388,
"trial_dimension": 4496388,
"max_eigenvalue_over_blocks": -1.8941336091502259
},
"quadrature_max_eigenvalue_change": 2.4424906541753444e-14,
"sigma_for_g_eps_over_2a_equal_one": 1.8213208394699776
},
{
"name": "tau",
"d": 10,
"n": 23,
"N": 22,
"D": 64512240,
"eta_midgap": "55/2",
"harmonic_rim_x": "54/55",
"harmonic_mean_x": "27/55",
"quartic_shift_over_gap_min": "-543/110",
"quartic_shift_over_gap_max": "-189/55",
"splitting_over_gap": "3/2",
"ritz": {
"ritz_negative_count": 92561040,
"trial_dimension": 92561040,
"max_eigenvalue_over_blocks": -1.5742572930797547
},
"quadrature_max_eigenvalue_change": 1.2434497875801753e-14,
"sigma_for_g_eps_over_2a_equal_one": 1.3107192387048463
}
],
"muon_electron_size_ratio_midgap": 2.4379192534667067
}