Recorded data and provenance for the associated calculation.
| protocol_id | 20260907-localized-polarization-stationarity-v1 |
|---|---|
| relationship | Follow-up designed after the six-dimensional texture scan; not retroactively part of its protocol |
| claim_under_test | The uniform-polarization fixed-envelope preparation is stationary under spatial polarization variations in both five and six dimensions |
| unchanged_physics | Leading spin-magnetic closed-field kernel plus positive bare polarization-gradient cost; no scalar-exchange or additional vector channel |
| envelope | Normalized unit-variance radial Gaussian in each ambient dimension |
| polarization_basis | Fundamental Spin(5) module and one fundamental Spin(6) half-spin module, both C^4 |
| wave_direction | (e0+e4)/sqrt(2), retaining the first three visible axes in both models |
| texture | z_epsilon=cos(epsilon*cos(q*w.x))*z0+sin(epsilon*cos(q*w.x))*v |
| variations | All six real ray-orthogonal spinor tangent directions |
| normalized_stationarity_residual | Gradient norm of E/(kappa*integral n^2); gradient kinetic contribution vanishes at the uniform reference |
| stationarity_tolerance | 1e-9 |
| independent_gradient_tolerance | 0.000001 |
| fourier_harmonics | 8 |
| phase_samples | 256 |
| quadrature_tolerance | 1e-13 |
| failure_meaning | A nonzero first variation rejects this uniform preparation, not the entire ambient dimension |
| scope | Conditional field model comparison; not a measured electron response or a spatial-orbit replacement |
View complete data
{
"protocol_id": "20260907-localized-polarization-stationarity-v1",
"relationship": "Follow-up designed after the six-dimensional texture scan; not retroactively part of its protocol",
"claim_under_test": "The uniform-polarization fixed-envelope preparation is stationary under spatial polarization variations in both five and six dimensions",
"models": [5, 6],
"unchanged_physics": "Leading spin-magnetic closed-field kernel plus positive bare polarization-gradient cost; no scalar-exchange or additional vector channel",
"envelope": "Normalized unit-variance radial Gaussian in each ambient dimension",
"reference_ray": [1, 0, 0, 0],
"polarization_basis": "Fundamental Spin(5) module and one fundamental Spin(6) half-spin module, both C^4",
"wave_direction": "(e0+e4)/sqrt(2), retaining the first three visible axes in both models",
"texture": "z_epsilon=cos(epsilon*cos(q*w.x))*z0+sin(epsilon*cos(q*w.x))*v",
"wave_numbers": [0.5, 1.0, 2.0],
"variations": "All six real ray-orthogonal spinor tangent directions",
"normalized_stationarity_residual": "Gradient norm of E/(kappa*integral n^2); gradient kinetic contribution vanishes at the uniform reference",
"stationarity_tolerance": 1e-9,
"independent_gradient_tolerance": 1e-6,
"epsilon_values": [0.001, 0.0005],
"fourier_harmonics": 8,
"phase_samples": 256,
"quadrature_tolerance": 1e-13,
"failure_meaning": "A nonzero first variation rejects this uniform preparation, not the entire ambient dimension",
"scope": "Conditional field model comparison; not a measured electron response or a spatial-orbit replacement"
}