I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Recurso digital |
| Reo: | Ingarihi |
| I whakaputaina: |
Zenodo
2026
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| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.5281/zenodo.20219606 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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Rārangi ihirangi:
- <p>We study the 9-dimensional gauge-field fluctuation space above the frustrated SU(2) vacuum (Tr(W) = -10/27) on the diamond lattice within the Granular Entropic Physics programme. A hierarchy of gauge-invariant observables is established, ordered by collective depth. Single traces Tr(W_I) have identically vanishing gradients at the vacuum, a structural SU(2) property. Hexagonal plaquette products (17 invariants including pairwise, triple, quadruple, and commutator structures) saturate at rank 5. Transported observables Tr(W_A T W_B T-dagger) achieve rank 6 per transport topology, consistently across all 30 tested topologies. Full rank-9 reconstruction requires combining at least 3 distinct transport topologies (minimal basis: 9 observables). The reconstruction is highly anisotropic, with effective observable dimension D_eff between 3 and 6, far below the algebraic rank 9. No single transport topology stabilises the Wilson saddle point. The paper includes a self-correction of an earlier dark-sector interpretation, which was shown to be an artifact of an insufficiently rich observable basis rather than a structural property of the vacuum. The central result is that the frustrated vacuum is a transport-sensitive collective phase whose full characterisation requires a multi-topology observable atlas.</p>