Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.
Insufficient for the goal
The cited original seed definition assumes A_loc, tau_t, Theta, omega, [u_Sigma], and D_coll as data and shows only their collar completion. This cited evidence supplies no rule selecting the common physical source from a polynomial degree.
For a new attempt: Provide an explicit original-source rule mapping degree to source selection before assessing the strategy as a selector.
Read the question and its evidenceReusable result
The whole family is completed by lattice saturation and exact classification, including an original-frame control.
For a new attempt: New knowledge requires a justified change to the original source operator or its field/sector map; further phases of the same family are already covered.
Read the question and its evidenceInsufficient for the goal
All candidates retain the missing original field/state identification. The composed marking does not prove that identification.
For a new attempt: Identify the actual original seam action on the same collar/field core, including domain, state and full time.
Read the question and its evidenceInsufficient for the goal
The proof does not classify the minimal operator fiber.
For a new attempt: Actually classify operator structures in the minimal fiber; do not relabel well-ordering or presentation invariance as uniqueness.
Read the question and its evidenceReusable result
The whole continuous class is covered analytically; more Blaschke parameters provide no new selection.
For a new attempt: Supply a P1-grounded change of source class or actual operator action.
Read the question and its evidenceReusable result
The entire H1 class is solved by E=alpha+Var(phi prime)/2; additional genotypes or GPU grids are unnecessary.
For a new attempt: Derive the physical source and least-excitation rule from P1; do not replace their selection with optimization inside a supplied source.
Read the question and its evidenceInsufficient for the goal
The allowed source is already named in the zero/infinity barrier. A minimum on that restricted branch does not prove this upstream selection.
For a new attempt: Supply a selection rule computable from original data without a presumed B_min and prove its relation to the actual field/state/time operator.
Read the question and its evidenceScoped exclusion
The general implication from reflection regularity is disproved by a compact Dirac counterexample; carrier restrictions built on it need their actual operator map established again.
For a new attempt: Keep geometric lift, normal Clifford action and Calderon polarization distinct. For dynamics retain the full two-face relation and use the already verified inverse reader.
Read the question and its evidenceScoped exclusion
The actual restriction is identity; the negative sector has already been removed. Additional spectral tests cannot repair this type error.
For a new attempt: Retain field space and internal marking action before state projection. Check an actual embedding W with (2G−I)W=W epsilon if that polarization is intended; for a separate internal involution supply its source origin. Do not count an inserted 3+2 matrix as a derivation.
Read the question and its evidenceScoped exclusion
The explicit minimum-degree primitive 5+2 tensor satisfies even fermion degrees and the same invariance. The local argument does not exclude it.
For a new attempt: Prove tensor support, a degree bound or global-minimality rule actually derived from the original source; do not again identify primitiveness with contraction surjectivity.
Read the question and its evidenceInsufficient for the goal
The determinant line does not determine rank or kernel, and the archived argument already uses the marked branch.
For a new attempt: Provide the actual original bosonic operator, bundle and equivariant kernel-to-carrier map.
Read the question and its evidenceInsufficient for the goal
Identical complete fermionic background data have different supplied field derivatives; the actual field-dependent source contract is missing.
For a new attempt: Derive the original field-dependent source operator or complete interaction functional and its actual mixed responses.
Read the question and its evidence