Recorded data and provenance for the associated calculation.
| experiment_key | finite-guide-imbalance-competing-ranges |
|---|---|
| created_utc | 2026-10-12T12:06:27.781557+00:00 |
| evaluations | 368 |
View complete data
{
"experiment_key": "finite-guide-imbalance-competing-ranges",
"created_utc": "2026-10-12T12:06:27.781557+00:00",
"sources": {
"experiments/finite-guide-imbalance.py": "55aa7f4089e27d0c211bf9cd91a549b95d0851f7280b72e2a6ad5df38fada34c"
},
"evaluations": 368,
"conditions": {
"actual frame norm retains both shape channels": 1,
"actual frame Gram area has the exact shape deficit": 1,
"frame kinetic metric is the common canonical identity": 9,
"shape polarization rotates twice the ordinary spatial angle": 1,
"both physical shape directions transform together": 1,
"shape has zero first dielectric source variation": 1,
"complete dielectric quadratic coefficient is derived": 1,
"fixed-flux variation retains the complete electric quadratic cost": 1,
"both shape operators have the derived positive-gap potential": 1,
"exact finite bridge solves its Euler equation": 1,
"exact bridge retains the first endpoint": 1,
"exact bridge retains the second endpoint": 1,
"integration by parts gives the complete bridge energy": 1,
"sum and mismatch shapes diagonalize the boundary energy": 1,
"longitudinal shape stress is conserved": 1,
"moving-end energy and independent stress give identical force": 1,
"reciprocal shape torque follows from the same energy": 1,
"opposite endpoint shapes have negative angular curvature": 1,
"actual mixed-frame guide moments fix tension per deformation norm": 2,
"exact derivative is negative throughout the stated physical interval zero to one": 2,
"one common upper bound controls the formal equilibrium in guide-width units": 2,
"independent vector boundary solver converges": 9,
"independent integrated field energy matches the operator formula": 9,
"independent field stress is constant and agrees with force": 63,
"direct moving-end energy difference agrees with force": 9,
"common rotation preserves the entire pair energy and force": 9,
"nonpositive endpoint overlap makes inward force increase": 63,
"mismatched inward force approaches tension from below": 63,
"gap controls the complete spectral outward response": 21,
"small-length estimate bounds the gap envelope": 21,
"independent lengths verify increasing inward response": 54,
"formal radial balance remains an angular saddle": 3,
"same middle-Hodge rule retains precisely the existing active guides": 6,
"ungated geometric-degree profile control remains obstructed": 4,
"geometric profile identity allows the active guide": 2
},
"maximum_errors": {
"independent integrated field energy matches the operator formula": 1.2961853812498703e-14,
"independent field stress is constant and agrees with force": 1.3448877428379191e-14,
"direct moving-end energy difference agrees with force": 1.0306681480498625e-09,
"common rotation preserves the entire pair energy and force": 5.551115123125783e-17
},
"exact_equations": {
"frame_norm": "u^2+v^2+w^2",
"frame_area": "(u^2-v^2-w^2)^2/4",
"shape_operator": "-Delta_y+mu^2+(kappa4 E0^2/2)u0^2",
"on_shell_energy": "T L+<g+,K tanh(K L/2)g+>+<g-,K coth(K L/2)g->"
},
"boundary_controls": [
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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},
{
"mu": 2.0,
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"length": 0.1,
"inward_force": 14.529122198385306,
"inward_force_slope": -29.337673353987455
},
{
"mu": 2.0,
"endpoint_cosine": 1.0,
"length": 0.25,
"inward_force": 9.218741675956231,
"inward_force_slope": -34.295736363428105
},
{
"mu": 2.0,
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"length": 0.5,
"inward_force": 3.66306841271372,
"inward_force_slope": -11.809402983891111
},
{
"mu": 2.0,
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"length": 1.0,
"inward_force": 1.4179892925404745,
"inward_force_slope": -1.2916398308124422
},
{
"mu": 2.0,
"endpoint_cosine": 1.0,
"length": 2.0,
"inward_force": 1.0304009340175053,
"inward_force_slope": -0.07200002322560661
},
{
"mu": 2.0,
"endpoint_cosine": 1.0,
"length": 4.0,
"inward_force": 1.0003654682625016,
"inward_force_slope": -0.0007736329804353894
},
{
"mu": 2.0,
"radial_equilibrium": 0.837378359674915,
"angular_curvature": -0.27229437662928746,
"interpretation": "formal quadratic endpoint control, not a bound hadron"
}
],
"sectors": [
{
"depth": 2,
"even_carrier": 2,
"hodge_gate": 0,
"normal_complex_rank": 4,
"guide_available_under_existing_premises": false,
"new_independent_color_selection": false
},
{
"depth": 3,
"even_carrier": 4,
"hodge_gate": 1,
"normal_complex_rank": 3,
"guide_available_under_existing_premises": true,
"new_independent_color_selection": false
},
{
"depth": 4,
"even_carrier": 4,
"hodge_gate": 1,
"normal_complex_rank": 3,
"guide_available_under_existing_premises": true,
"new_independent_color_selection": false
},
{
"depth": 5,
"even_carrier": 6,
"hodge_gate": 0,
"normal_complex_rank": 2,
"guide_available_under_existing_premises": false,
"new_independent_color_selection": false
},
{
"depth": 6,
"even_carrier": 6,
"hodge_gate": 0,
"normal_complex_rank": 2,
"guide_available_under_existing_premises": false,
"new_independent_color_selection": false
},
{
"depth": 10,
"even_carrier": 10,
"hodge_gate": 0,
"normal_complex_rank": 0,
"guide_available_under_existing_premises": false,
"new_independent_color_selection": false
}
],
"limits": [
"guide is conditional on the independently varied commuting connection action",
"endpoint deformations are prescribed slow shapes, not frozen unequal carrier clocks",
"positive matrix controls are not a discretization claim for the actual transverse spectrum",
"the full transverse continuum is retained by the analytic spectral proof",
"free endpoint orientation makes opposite shapes an angular saddle",
"small length can invalidate the quadratic end-core approximation",
"three/four restriction is inherited, not independently derived by this response",
"full non-Abelian confinement, physical units and the master-field reduction remain open"
]
}