Recorded data and provenance for the associated calculation.
| experiment_key | convex-dispersion-envelope-count-action |
|---|---|
| created_utc | 2026-10-13T02:49:20.826730+00:00 |
| evaluations | 96422 |
| decimal_precision | 100 |
View complete data
{
"experiment_key": "convex-dispersion-envelope-count-action",
"created_utc": "2026-10-13T02:49:20.826730+00:00",
"sources": {
"experiments/dispersion-count-envelope.py": "3eb1820c53fea2cca6ab2e16e62b65c3c33ff88bffc131f17d3e152ebfaf0eff"
},
"evaluations": 96422,
"conditions": {
"the compact smooth absolute has the independently derived nonnegative second derivative": 1,
"the compact smoothing joins absolute value through three derivatives": 8,
"every occupied depth has eligible dispersion curves": 6,
"the chosen convex count domain gives one contiguous finite label set": 6,
"exact rational squared comparison proves the unique winner at every eligible node": 93792,
"the 100-digit evaluation resolves the exact common energy smoothing width": 6,
"ordered adjacent dispersion curves have one positive crossing": 492,
"each exact squared crossing lies strictly between its adjacent spatial shells": 492,
"independent massive dispersion curves agree at the rational squared crossing": 492,
"the actual common smoothed envelope retains strict positive label curvature in every joining band": 492,
"the joining-band response lies inside the physical grading-ratio domain": 492,
"the common half-spacing constitutive window stays at positive spatial label": 6,
"smoothing retains each assigned count energy exactly in its open winning arc": 14,
"smoothing retains each assigned geometric grading balance": 14,
"the retained massive arc has precisely zero eliminated scalar source curvature": 14,
"independent convex auxiliary elimination returns the actual spatial shell": 14,
"independently eliminated constitutive value retains complete source and clock": 14,
"independent scalar differentiation retains the exact source coefficient": 14,
"independent scalar differentiation confirms the open affine source chart": 14,
"exact rational inequalities certify the proposed adjacent spatial shells": 13,
"exact rational adjacent-shell test excludes a zero of the entire spatial H spectrum": 14,
"exact rational comparison proves the unrestricted higher-shell clock differs from its count target": 6,
"the first omitted integer shell is outside the explicit constitutive label window": 6
},
"maximum_errors": {
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},
"decimal_precision": 100,
"sectors": [
{
"depth": 2,
"epsilon_exact": "3/955",
"eligible_level_range": [
36,
316
],
"number_of_curves": 281,
"constitutive_chi_window_exact": [
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],
"exact_node_gap_lower": "7521/5158184200",
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],
"cases": [
{
"particle": "tau",
"depth": 10,
"index": 23,
"count_clock_exact": "12192813360/14943591113",
"polarization_exact": "3/10",
"source_mass_squared_exact": "7371",
"source_eta_exact": "-1332730386810/14943591113",
"eliminated_label": "27.0",
"source_value": "-7.284077423706206300828140171021822042274451249568260319677283985921918606499816373823450451631746277",
"scalar_source_curvature": "zero on an open affine chart",
"full_spatial_nonzero_H_spectrum": true,
"positive_wave_persistence": "conditional nonlinear chart-local theorem applies"
}
],
"unrestricted_last_arc_control": {
"first_extra_shell_h_exact": "31",
"extra_clock": "3.095094989911429511584381885234093711894447263450372445780490288672617260944791246618581528976025165",
"target_count_clock_exact": "4367392344/1358508283",
"extra_branch_prevented_by_stated_label_window": true
}
}
],
"limits": [
"the count tangency data and ordinary sphere remain explicit effective premises",
"the common smooth maximum is folded in increasing shell order",
"the finite constitutive label window is part of the law, not automatic from a finite envelope",
"the source is locally smooth on its open scalar-ratio domain; pure-grading endpoints are not included",
"the nonlinear persistence result uses nodeless fields and exact affine neighborhoods",
"proper-current and responding-clock dynamics are not replaced by preferred-time source results",
"the single-shell selection theorem does not classify all nonlinear mixed-shell fields",
"no sparse observed occupation, containing-space localization or boost inertia is derived",
"no new preference for depth five or the occupied sector assignments is established"
]
}