Recorded data and provenance for the associated calculation.
| title | Positive Hodge-Gated Neutral Dielectric Flux Tubes |
|---|---|
| checks_passed | 256 |
| case_count | 55 |
| status | conditional neutral-mode same-field action; finite endpoints, vacuum Cauchy problem and full non-Abelian stability unresolved |
| conclusion | One positive quartic dielectric action supports finite-width commuting color tubes only at occupied three/four after the common Hodge gate. Exact support, positive tension, complete transverse stress and boost response, and restricted scalar stability are checked. A positive ordinary dielectric floor removes absolute flux confinement. |
View complete data
{
"title": "Positive Hodge-Gated Neutral Dielectric Flux Tubes",
"sources": {
"experiments/hodge-flux-tube-checks.py": "24ef86b4855274c5c8ca74890aa5e6bfa5f15bcccf2bc6ae566c02d998adb38b",
"content/notes/topics/gauge-topology/hodge-gated-gauss.md": "257281d62ec1664f9980181fd6a299acae121c182d063ab43b3da695e3404583"
},
"checks_passed": 256,
"case_count": 55,
"occupied_depths": [
2,
3,
4,
5,
6,
10
],
"runtime": {
"python": "3.14.6",
"numpy": "2.4.4",
"scipy": "1.17.1",
"sympy": "1.14.0"
},
"status": "conditional neutral-mode same-field action; finite endpoints, vacuum Cauchy problem and full non-Abelian stability unresolved",
"conclusion": "One positive quartic dielectric action supports finite-width commuting color tubes only at occupied three/four after the common Hodge gate. Exact support, positive tension, complete transverse stress and boost response, and restricted scalar stability are checked. A positive ordinary dielectric floor removes absolute flux confinement.",
"cases": [
{
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"transverse_dimension": 1,
"hodge_coefficient": 0.0,
"pohozaev_gradient_coefficient": 3,
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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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{
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