A2
◇Conditional⚒BuilderPriority: external-input
Derive the defect rather than insert it
Question. What microscopic action creates the neutral wall, its orientation and a globally compatible compact domain?
Advance when. One UV model produces the interface, BF parity and localized reader spectrum with no hand-selected history.
Stop or downgrade when. Do not keep manipulating gauge-equivalent charge-three phases as though they were disconnected vacua.
A4
↗Externally open⚒BuilderPriority: stop-everything
Define the chiral physical-state domain
Question. What Lorentz- and gauge-compatible fermion domain replaces the bosonic reflection fold?
Advance when. A self-adjoint operator, lower bound, BRST cohomology and positive residues are computed on the same declared domain.
Stop or downgrade when. A positive bosonic benchmark does not establish unitarity of the chiral theory.
A5
■Internally exhausted◉WitnessPriority: external-input
Supply a physical phase reference
Question. What measured or history-bearing charge-minus-two datum chooses the sterile phase axis and locks it locally to the charged carrier?
Advance when. A gauge-complete local operator selects the whole orientation without target-dependent convention.
Stop or downgrade when. Searches among already-audited symmetric data are exhausted.
A6
↗Externally open⚒BuilderPriority: stop-everything
Make index three anomaly-free and mirror-free
Question. Can a local or spectral real structure retain three complete chiral families while cancelling the full higher-dimensional anomaly polynomial?
Advance when. The construction supplies sterile pairing, cancels local and global anomalies and has no independent mirror kernel.
Stop or downgrade when. The integer three and O(3) bundle are not by themselves a physical family derivation.
A7
■Internally exhausted⇄TranslatorPriority: external-input
Match the stress operator in curved microscopic theory
Question. Which renormalization condition fixes improvement, contact terms, displacement operators and the common physical probe?
Advance when. One completed action predicts the renormalized stress vertex and port map at a stated scale.
Stop or downgrade when. The full third matrix direction must remain secondary while its improvement dependence is unfixed.
A9
◇Conditional⚒BuilderPriority: highest
Predict a causal interacting spectrum
Question. What microscopic Hamiltonian predicts the sector-dependent pole, residue, linewidth and band support?
Advance when. A causal positive spectral density survives disorder, calibration and held-out sector labels with the port fixed in advance.
Stop or downgrade when. A static covariance, scalar linewidth or phenomenological curve is not an interacting response derivation.
HYDRO-RELAX
◇Conditional⚒BuilderPriority: highest
Match the causal stochastic carrier
Question. Which microscopic theory or measurement fixes the relaxation spectrum, physical noise normalization and nonlinear couplings of the causal hydrodynamic auxiliaries?
Advance when. One source-native stress-response functional reproduces the causal poles, positive covariance and Onsager–Casimir parities while passing exact quantum-frequency and nonlinear dynamical KMS, Ward, contact and entropy gates.
Stop or downgrade when. Another positive Gaussian covariance or phenomenological relaxation pole does not select the carrier or close KMS.
A11
↗Externally open⚒BuilderPriority: highest
Turn sensitivity into a physical test
Question. What device model predicts an absolute signal before data are unblinded, and can a protected \(\mathbb Z_3\) sector actually be prepared?
Advance when. A powered experiment tests a preregistered effect size with independently verified sector algebra and scaling.
Stop or downgrade when. Three settings of a continuous U(1) control are not protected \(\mathbb Z_3\) sectors.
GRAPH
◇Conditional⚒BuilderPriority: external-input
Derive the missing anisotropies
Question. Can an action generate the addressed controls that enlarge the natural \(\mathfrak{sp}(2,\mathbb R)\) response symmetry to all ten generators of \(\mathfrak{sp}(4,\mathbb R)\)?
Advance when. Orientation and anisotropy arise dynamically and ten-generator closure survives loss, disorder and refinement.
Stop or downgrade when. A four-real carrier or conformally symplectic flow alone is not full Spin(2,3).
TORSION-UV
↗Externally open⚒BuilderPriority: highest
Construct the protected torsion parent
Question. Which complete microscopic theory contains a nondegenerate vacuum, a positive independent zero-minus connection pole and a protected normalized axial-current coupling?
Advance when. One action passes the reality, constraint, spectrum, radiative-protection and threshold-matching gates without importing the answer as a free coefficient.
Stop or downgrade when. Another symmetry label, projector or quadratic parameter scan cannot replace the missing model.
MIXED-INTERFACE
◇Conditional⚒BuilderPriority: highest
Realize one mixed-interface return on a calibrated carrier
Question. Can one platform co-realize the wall-response return or supply the missing orientation datum in the selection-memory-holonomy return?
Advance when. A preregistered detector records the predicted invariant, nuisance model and return law on held-out data without refitting the bridge coefficient.
Stop or downgrade when. The abstract A8 transfer lattice is not a laboratory conservation law or physical symmetry without an explicit carrier map.