Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.
Scoped exclusion
Every hit adds half-Cartan sectors and the same second K-zero vector; both are absent from the unchanged source.
For a new attempt: Derive a changed source representation with the neutral partner or a different common time/operator dictionary from original principles.
Read the question and its evidenceInsufficient for the goal
M r0=e1+e4 does not define a state map; source charge is not Y and K splits the multiplet.
For a new attempt: Derive the actual field representation with all charges, boundary conjugation, state and time from the same source.
Read the question and its evidenceScoped exclusion
Unequal projection norms exclude the whole orthogonal correction class at fixed d_beta.
For a new attempt: Use the actually transported marking or supply a different source action derived from P1/P2; a larger phase scan does not change the invariant.
Read the question and its evidenceReusable result
The declared control domain was exhausted. Its result calibrates the search software.
For a new attempt: For new research extend the actual operator contract or structural grammar, rather than only changing seed or runtime.
Read the question and its evidenceReusable result
Exact finite completions and shortest degree5 separation are available; the campaign persists reusable results.
For a new attempt: A source-grounded new operator/composite-field relation, another justified representation, or full OS/seam data. Seed, runtime or a numerical gap alone do not close an original contract.
Read the question and its evidenceInsufficient for the goal
These data do not determine the fixed pair response in the tested inverse contract. The joint identity remains a valid consistency check.
For a new attempt: Derive the actual local field map and source insertions from the original action; test the multifield response or full appropriate Schwinger-Dyson identity. Do not impose a free creator equation on the interacting action.
Read the question and its evidenceReusable result
The full link action follows without a Gaussian assumption in the given dictionary.
For a new attempt: Derive the original field dictionary and T[Φ].
Read the question and its evidenceScoped exclusion
The central kernel element acts trivially on the entire unchanged generator algebra, and local products cannot generate spinorial character.
For a new attempt: A source-grounded sector/field extension with actual charged intertwiners or another demonstrated group/source map. New coefficients or longer composite searches do not change this premise.
Read the question and its evidenceReusable result
Compatible mixed-state completion and automatic one-transfer query are validated in the existing entry point. The control does not derive its source from P1.
For a new attempt: For progress on the original goal supply the actual local P1 insertion or a newly source-derived multifield response. Do not feed candidate predictions back as source facts, change only seed/runtime, or substitute a new pure/free source.
Read the question and its evidenceReusable result
New concrete source tests are executed, including a minimal operator counterexample. General synthesis software and Universalraum/GNS results already existed.
For a new attempt: For origin progress use independently original insertion images or a newly derived common response; do not repeat the same controls.
Read the question and its evidenceScoped exclusion
The entire polynomial class reduces analytically to I,X and is excluded; random/genetic search cannot find a missing triplet coupling in it.
For a new attempt: An additional originally derived family-distinguishing operation, different field type or actual higher-product process changes the class and must be tested separately.
Read the question and its evidenceReusable result
The entire restricted and larger1024 class are exactly classified and independently confirmed analytically; changing genetic seeds cannot repair the character conflict.
For a new attempt: A different originally grounded family action or jointly transported SM/field marking changes the class. Reuse solved native glue/C12 conjugacy rather than treating existence as open. Physical progress requires actual original coupled insertion images.
Read the question and its evidence