cases/case33/grading_rubric.json

{
  "case_id": "Case33",
  "title": "High harmonic interferometry of the Lorentz force in strong mid-infrared laser fields",
  "atoms": [
    {
      "criterion_id": "F1",
      "dimension": "F",
      "points": 0.5,
      "scientific_requirement": "Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.",
      "award_conditions": [
        "The two-beam geometry/focus phase, axes, four target groups and branch definitions use He Ip=0.90357 and Ne6+ Ip=7.61707 a.u. consistently."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 2 (PDF page 3), Eqs. (2)-(5); p. 4, Fig. 3(a-c); p. 5, Fig. 4; stated task target-input table: Two-beam geometry, focus phase, transverse polarization and target groups define the cases. The exact He and Ne6+ ionization potentials are task-fixed atomic inputs, not values printed in those figure captions."
      ],
      "rc_relation": "RC0: absence or material invalidity of the central physical object. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "F2",
      "dimension": "F",
      "points": 0.5,
      "scientific_requirement": "Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.",
      "award_conditions": [
        "The computable first-order nondipole SFA keeps spatial gradients and ionization-time-dependent kinematic momentum under compatible action/Fourier branches."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.",
        "Preserve independent correct work in F1, F3 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "The nondipole construction is independent of the F1 target/case documentation verdict. Preserve correct gradient, ionization-time, momentum, action and harmonic construction if a local ionization-potential/case error does not change that construction; propagate only actual object damage."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 3-4 (PDF pages 4-5), Eqs. (6)-(15), Fig. 2 and ionization-time-reference discussion: First-order spatial gradients create ionization-time-dependent kinematic momentum; dropping the lower reference time can corrupt harmonic phases."
      ],
      "rc_relation": "RC0: absence or material invalidity of the central physical object. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "F3",
      "dimension": "F",
      "points": 0.5,
      "scientific_requirement": "Define a reconstructible transverse single-atom HHG estimator, common normalization, case comparison and fully specified physically defensible single-active-electron transition dipole and scope, distinguishing dipole reference from full nondipole branches.",
      "award_conditions": [
        "The transverse estimator and comparison scale are reconstructible, and the chosen defensible SAE dipole is fully defined with a justified scope.",
        "Accept a fully specified defensible SAE transition dipole at the task-fixed thresholds; do not require a unique hydrogenic effective-1s model or silently change Ne6+ binding."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F1: Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.; F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 4, Eqs. (14)-(15), transition-dipole definition, Fig. 3 caption; stated task dipole-choice boundary: A declared defensible SAE transition dipole and common transverse observable are required. The article does not uniquely impose one hydrogenic effective-1s model."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "O1",
      "dimension": "O",
      "points": 0.5,
      "scientific_requirement": "Provide reconstructible transverse spectra or equivalent data for all three helium cases on a common comparison scale, resolving major parity families, the weak nondipole-sensitive family and material cross-case variation.",
      "award_conditions": [
        "Common-scale helium spectra for all three cases resolve dominant parity and the weak nondipole-sensitive family with material case dependence.",
        "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F1: Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.; F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.; F3: Define a reconstructible transverse single-atom HHG estimator, common normalization, case comparison and fully specified physically defensible single-active-electron transition dipole and scope, distinguishing dipole reference from full nondipole branches.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in O2, O3, O4 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Helium output failure does not erase independent Ne6+ branch work, and a display defect alone is not object invalidity.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 4 (PDF page 5), Fig. 3(a-c) and caption: Three helium cases distinguish dominant odd and weak nondipole-sensitive even families. Intermediate-case strengths are assessed from actual data, not a forced binary category or exact ratio."
      ],
      "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "O2",
      "dimension": "O",
      "points": 0.5,
      "scientific_requirement": "Provide a valid transverse dipole-reference branch for the specified Ne6+ target using the correct target input and comparison convention common to its other branches.",
      "award_conditions": [
        "The correctly bound Ne6+ dipole reference uses the required target input and the same transverse observable as its comparison branches.",
        "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F1: Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.; F3: Define a reconstructible transverse single-atom HHG estimator, common normalization, case comparison and fully specified physically defensible single-active-electron transition dipole and scope, distinguishing dipole reference from full nondipole branches.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in O1 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Judge this Ne6+ reference locally; preserve independent helium and other Ne6+ branch objects.",
        "The Ne6+ suppression/recovery conclusion requires valid same-target dipole, nondipole-linear and two-beam branches under one comparison convention. Preserve any independently valid branch and the independent helium chain when another fails."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 5 (PDF page 6), Fig. 4 and caption; p. 4, suppression/recovery discussion: The same-target Ne6+ dipole, nondipole-linear and two-beam branches establish suppression and material but partial recovery; the figure does not impose exact pointwise recovery or a unique orbit implementation."
      ],
      "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "O3",
      "dimension": "O",
      "points": 0.5,
      "scientific_requirement": "Provide the same-observable Ne6+ nondipole linear-reference branch with enough global spectral structure to judge material suppression relative to its dipole reference.",
      "award_conditions": [
        "The Ne6+ nondipole-linear output has sufficient global spectral structure to establish material suppression relative to its dipole reference.",
        "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F1: Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.; F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.; F3: Define a reconstructible transverse single-atom HHG estimator, common normalization, case comparison and fully specified physically defensible single-active-electron transition dipole and scope, distinguishing dipole reference from full nondipole branches.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in O2, O4 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Judge this nondipole reference locally; preserve valid portions of other Ne6+ branches.",
        "The Ne6+ suppression/recovery conclusion requires valid same-target dipole, nondipole-linear and two-beam branches under one comparison convention. Preserve any independently valid branch and the independent helium chain when another fails."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 5 (PDF page 6), Fig. 4 and caption; p. 4, suppression/recovery discussion: The same-target Ne6+ dipole, nondipole-linear and two-beam branches establish suppression and material but partial recovery; the figure does not impose exact pointwise recovery or a unique orbit implementation."
      ],
      "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "O4",
      "dimension": "O",
      "points": 0.5,
      "scientific_requirement": "Provide the theta = 2 degree two-beam Ne6+ branch under the same observable/comparison convention, resolving material but not necessarily complete recovery relative to the nondipole linear reference.",
      "award_conditions": [
        "The common-observable two-beam Ne6+ output at theta=2 degrees resolves material recovery relative to nondipole-linear driving; complete recovery is not required.",
        "The physical object is valid, its presentation adequate, and its claim adequate; record these three statuses separately. Reconstructible data alone do not create candidate identification or mechanism."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F1: Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.; F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.; F3: Define a reconstructible transverse single-atom HHG estimator, common normalization, case comparison and fully specified physically defensible single-active-electron transition dipole and scope, distinguishing dipole reference from full nondipole branches.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in O2, O3 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Recovery failure does not erase independently valid dipole/nondipole references.",
        "The Ne6+ suppression/recovery conclusion requires valid same-target dipole, nondipole-linear and two-beam branches under one comparison convention. Preserve any independently valid branch and the independent helium chain when another fails."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 5 (PDF page 6), Fig. 4 and caption; p. 4, suppression/recovery discussion: The same-target Ne6+ dipole, nondipole-linear and two-beam branches establish suppression and material but partial recovery; the figure does not impose exact pointwise recovery or a unique orbit implementation."
      ],
      "rc_relation": "RC1: absence or material invalidity of an indispensable component, with the central object established. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "I1",
      "dimension": "I",
      "points": 0.5,
      "scientific_requirement": "Identify the major harmonic parity family and weak nondipole-sensitive family from the candidate's valid helium evidence; arrays or examiner readback cannot supply the identification.",
      "award_conditions": [
        "The candidate explicitly identifies the dominant and weak nondipole-sensitive helium parity families from their own data.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "O1: Provide reconstructible transverse spectra or equivalent data for all three helium cases on a common comparison scale, resolving major parity families, the weak nondipole-sensitive family and material cross-case variation. supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in I3 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 4 (PDF page 5), Fig. 3(a-c) and caption: Three helium cases distinguish dominant odd and weak nondipole-sensitive even families. Intermediate-case strengths are assessed from actual data, not a forced binary category or exact ratio."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "I2",
      "dimension": "I",
      "points": 0.5,
      "scientific_requirement": "Identify material case dependence of the nondipole-sensitive contribution from common-scale evidence for three helium cases; report the intermediate case from actual data rather than force a hidden binary category.",
      "award_conditions": [
        "The candidate identifies material common-scale variation over the three helium cases and reports the intermediate case from actual evidence.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "O1: Provide reconstructible transverse spectra or equivalent data for all three helium cases on a common comparison scale, resolving major parity families, the weak nondipole-sensitive family and material cross-case variation. supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in I1, I3 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 4 (PDF page 5), Fig. 3(a-c) and caption: Three helium cases distinguish dominant odd and weak nondipole-sensitive even families. Intermediate-case strengths are assessed from actual data, not a forced binary category or exact ratio."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "I3",
      "dimension": "I",
      "points": 0.5,
      "scientific_requirement": "Identify dipole-reference, material nondipole-suppression and material-but-partial two-beam-recovery relations from the same-observable Ne6+ three-branch evidence.",
      "award_conditions": [
        "The candidate identifies the dipole-reference, suppressed nondipole-linear and materially but partially recovered two-beam Ne6+ relation.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [O2: Provide a valid transverse dipole-reference branch for the specified Ne6+ target using the correct target input and comparison convention common to its other branches.; O3: Provide the same-observable Ne6+ nondipole linear-reference branch with enough global spectral structure to judge material suppression relative to its dipole reference.; O4: Provide the theta = 2 degree two-beam Ne6+ branch under the same observable/comparison convention, resolving material but not necessarily complete recovery relative to the nondipole linear reference.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in I1, I2 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "The Ne6+ suppression/recovery conclusion requires valid same-target dipole, nondipole-linear and two-beam branches under one comparison convention. Preserve any independently valid branch and the independent helium chain when another fails."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 5 (PDF page 6), Fig. 4 and caption; p. 4, suppression/recovery discussion: The same-target Ne6+ dipole, nondipole-linear and two-beam branches establish suppression and material but partial recovery; the figure does not impose exact pointwise recovery or a unique orbit implementation."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M1",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Use candidate trajectory, phase, case-intervention or equivalent evidence to connect helium spectral response to ionization-time-dependent nondipole continuum/recollision dynamics, beyond describing spectral shapes.",
      "award_conditions": [
        "Trajectory, phase, case intervention or equivalent evidence connects helium spectra to ionization-time-dependent recollision dynamics.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.; O1: Provide reconstructible transverse spectra or equivalent data for all three helium cases on a common comparison scale, resolving major parity families, the weak nondipole-sensitive family and material cross-case variation.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in M5, M6 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 3-4, Fig. 2, Eqs. (12)-(15) and reference-time discussion: Trajectory/phase or equivalent case intervention must connect the helium signal to recollision dynamics, not just spectral appearance."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M2",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Explain the relative scales of magnetic forward displacement and wave-packet width, why ordinary nondipole density/drop-off response is weak and why interferometry is more sensitive; no exact hidden scaling fit is required.",
      "award_conditions": [
        "Magnetic displacement versus wavepacket width explains weak ordinary density/drop-off response and stronger interferometric sensitivity without an exact hidden fit.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation. supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in M1, M3 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript p. 2, Eq. (1), displacement/width and interferometric-sensitivity paragraphs: Relative magnetic displacement is small, but interferometric asymmetry is more sensitive than quadratic density/drop-off response; no exact scaling fit is compulsory."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M3",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Explain that local two-beam longitudinal push reverses by half cycle and combines with magnetic drift to make returns/recollisions inequivalent, breaking intra-cycle symmetry and producing parity-sensitive interference.",
      "award_conditions": [
        "The local longitudinal push reverses with half-cycle while magnetic drift does not, creating unequal returns and parity-sensitive interference.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [I1: Identify the major harmonic parity family and weak nondipole-sensitive family from the candidate's valid helium evidence; arrays or examiner readback cannot supply the identification.; M1: Use candidate trajectory, phase, case-intervention or equivalent evidence to connect helium spectral response to ionization-time-dependent nondipole continuum/recollision dynamics, beyond describing spectral shapes.; M2: Explain the relative scales of magnetic forward displacement and wave-packet width, why ordinary nondipole density/drop-off response is weak and why interferometry is more sensitive; no exact hidden scaling fit is required.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in M5, M6 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 1-2, Fig. 1(c-f), half-cycle-asymmetry discussion; p. 4, Fig. 3: Longitudinal ellipticity changes sign with half-cycle while magnetic drift does not, unbalancing returns and enabling parity-sensitive interference."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M4",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Use the candidate's helium parity-family identity and case variation with the recollision-interference mechanism to establish an evidence-proportionate conclusion on sensitive single-atom nondipole probing.",
      "award_conditions": [
        "Helium parity identification, case dependence and recollision interference support a proportionate sensitive-probe conclusion.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [I1: Identify the major harmonic parity family and weak nondipole-sensitive family from the candidate's valid helium evidence; arrays or examiner readback cannot supply the identification.; I2: Identify material case dependence of the nondipole-sensitive contribution from common-scale evidence for three helium cases; report the intermediate case from actual data rather than force a hidden binary category.; M3: Explain that local two-beam longitudinal push reverses by half cycle and combines with magnetic drift to make returns/recollisions inequivalent, breaking intra-cycle symmetry and producing parity-sensitive interference.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in M5, M6 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Failure of the helium probe chain does not automatically invalidate an independent Ne6+ control chain.",
        "Helium parity-sensitive probing is an independent claim chain; Ne6+ recovery cannot replace its parity identification and recollision-interference evidence."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 1-2, Fig. 1(c-f), half-cycle-asymmetry discussion; p. 4, Fig. 3: Longitudinal ellipticity changes sign with half-cycle while magnetic drift does not, unbalancing returns and enabling parity-sensitive interference."
      ],
      "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M5",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Explain why magnetic forward drift in high-intensity Ne6+ nondipole linear driving lowers return/recollision probability and materially suppresses emission relative to the dipole reference.",
      "award_conditions": [
        "Magnetic forward drift explains lower recollision probability and material Ne6+ emission suppression in the nondipole-linear branch.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.; I3: Identify dipole-reference, material nondipole-suppression and material-but-partial two-beam-recovery relations from the same-observable Ne6+ three-branch evidence.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in M2, M3 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "The Ne6+ suppression/recovery conclusion requires valid same-target dipole, nondipole-linear and two-beam branches under one comparison convention. Preserve any independently valid branch and the independent helium chain when another fails."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 4-5, Fig. 4, recovery and compensation discussion: Forward magnetic drift suppresses recollision and geometry partly compensates one half-cycle; probe and control are independent chains that must both support the synthesis."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M6",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Explain material but partial two-beam recovery through half-cycle-dependent longitudinal compensation/imbalance of return conditions, establishing recollision control from the candidate's three branches.",
      "award_conditions": [
        "Half-cycle-dependent longitudinal compensation/imbalance explains material but partial two-beam recovery from all three Ne6+ branches.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link.",
        "Use the common-scale Ne6+ three-branch evidence to explain material but partial recovery through half-cycle-dependent return compensation; complete or universal cancellation is not required or established."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [I3: Identify dipole-reference, material nondipole-suppression and material-but-partial two-beam-recovery relations from the same-observable Ne6+ three-branch evidence.; M5: Explain why magnetic forward drift in high-intensity Ne6+ nondipole linear driving lowers return/recollision probability and materially suppresses emission relative to the dipole reference.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in M4 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "Ne6+ control closure cannot replace the independent helium probe chain.",
        "The Ne6+ suppression/recovery conclusion requires valid same-target dipole, nondipole-linear and two-beam branches under one comparison convention. Preserve any independently valid branch and the independent helium chain when another fails."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 4-5, Fig. 4, recovery and compensation discussion: Forward magnetic drift suppresses recollision and geometry partly compensates one half-cycle; probe and control are independent chains that must both support the synthesis."
      ],
      "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M7",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Synthesize the independent helium-probe and Ne6+-control chains to answer whether, and on what evidence, the specified two-beam geometry enables sensitive nondipole response and controllable recollision.",
      "award_conditions": [
        "The candidate synthesizes the independent helium-probe and Ne6+-control chains into an evidence-bound answer on the specified geometry.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "All of [M4: Use the candidate's helium parity-family identity and case variation with the recollision-interference mechanism to establish an evidence-proportionate conclusion on sensitive single-atom nondipole probing.; M6: Explain material but partial two-beam recovery through half-cycle-dependent longitudinal compensation/imbalance of return conditions, establishing recollision control from the candidate's three branches.] supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty.",
        "The integrated answer requires both chains, but correct atoms within either independent chain retain credit if synthesis is incomplete."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 4-5, Fig. 4, recovery and compensation discussion: Forward magnetic drift suppresses recollision and geometry partly compensates one half-cycle; probe and control are independent chains that must both support the synthesis."
      ],
      "rc_relation": "RC2: a missing or wrong indispensable principal mechanism/conclusion, with valid required signals. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "M8",
      "dimension": "M",
      "points": 0.5,
      "scientific_requirement": "Separate directly supported single-atom spectral probe/control from model-dependent monochromatic first-order SFA, chosen transition dipole and uncomputed macroscopic propagation; do not present proof of principle as a precise experiment prediction.",
      "award_conditions": [
        "The answer distinguishes directly supported single-atom spectra/control from dipole-model, monochromatic first-order and uncomputed propagation limitations.",
        "Use the candidate's own valid and relevant evidence; a correct source narrative or examiner-created inference cannot replace the candidate's identification or causal link."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "M7: Synthesize the independent helium-probe and Ne6+-control chains to answer whether, and on what evidence, the specified two-beam geometry enables sensitive nondipole response and controllable recollision. supplies only a necessary physical/evidential premise, not an automatic atomic-score gate.",
        "Preserve independent correct work in V1, V2 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 4-5, relativistic-treatment warning and macroscopic phase-matching paragraphs: Proof of single-atom first-order control does not predict fully relativistic cutoff, macroscopic yield or optimized propagation. Actual t-prime, polarization and dipole risks are conditional, not universal extra checks."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "V1",
      "dimension": "V",
      "points": 0.5,
      "scientific_requirement": "Positively limit conclusions to actual single-atom monochromatic first-order-in-1/c SFA, selected single-active-electron dipole and case/spectral evidence, distinct from macroscopic, phase-matched or relativistic prediction.",
      "award_conditions": [
        "Actual single-atom first-order monochromatic SFA, selected SAE dipole and spectral/case domain are positively distinguished from macroscopic or relativistic prediction."
      ],
      "applicability_and_na": [
        "Applicable to the stated scientific commission; N/A is not permitted."
      ],
      "dependencies": [
        "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 4-5, relativistic-treatment warning and macroscopic phase-matching paragraphs: Proof of single-atom first-order control does not predict fully relativistic cutoff, macroscopic yield or optimized propagation. Actual t-prime, polarization and dipole risks are conditional, not universal extra checks."
      ],
      "rc_relation": "No direct closure trigger; affect a dependent required scientific role only through a demonstrated failed necessary premise.. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    },
    {
      "criterion_id": "V2",
      "dimension": "V",
      "points": 0.5,
      "scientific_requirement": "Only when actual method, data, anomaly or claim triggers a concrete risk materially overturning the central probe/control conclusion, provide discriminating evidence or proportionate restriction; otherwise record N/A without claiming validation.",
      "award_conditions": [
        "A concrete ionization-time, polarization, target/dipole, numerical or extrapolation threat is discriminated or restricted; otherwise apply N/A."
      ],
      "applicability_and_na": [
        "Activate only for a concrete material risk arising from the candidate method, data, anomaly or claim; no fixed test is required in the absence of a trigger.",
        "Without a triggered risk record N/A and award 0.5 without positive validation evidence; this neither blocks RC4 nor triggers RC3.",
        "When triggered, accept functionally equivalent discriminating evidence or a justified restriction of the threatened claim."
      ],
      "dependencies": [
        "Independently judgeable; no upstream atomic failure is mechanically propagated into this obligation.",
        "Preserve independent correct work in V1 and all branches not using the failed premise.",
        "Propagate the exact failed fact only; preserve independently established subobjects, candidate reasoning and scope. Do not charge a second generic incompleteness or numerical-reliability penalty."
      ],
      "equivalent_evidence": [
        "Accept consistent gauge, axes/time origin, Fourier sign/conjugation, dipole/velocity/acceleration representations with correct frequency factors, and common scaling preserving transverse parity/suppression/case identities.",
        "Accept a fully defined physically defensible standard single-active-electron transition dipole used consistently for each target, with scope restricted accordingly. No uniquely hidden bound-state model is required.",
        "Continuous spectra, representative harmonics, integral quantities, saddle/uniform implementations, trajectory/phase contrasts or other reconstructible evidence may replace source panels if equally discriminating; no fixed orbit cache, root solver, grid or absolute intensity is mandated."
      ],
      "source_support": [
        "Pisanty et al. (2018), author manuscript pp. 4-5, relativistic-treatment warning and macroscopic phase-matching paragraphs: Proof of single-atom first-order control does not predict fully relativistic cutoff, macroscopic yield or optimized propagation. Actual t-prime, polarization and dipole risks are conditional, not universal extra checks."
      ],
      "rc_relation": "RC3: an unresolved applicable material risk, only after signals and principal mechanisms are substantially supported and all six risk-proof requirements are met. Evaluate actual trigger facts separately from the atomic award; the most severe failed required role determines closure."
    }
  ],
  "case_scientific_rules": [
    "At z0 = 0 and k x0 sin(theta) = pi/2, an equivalent local vector potential is A(t) = (F/omega) [0, cos(omega t), -sin(theta) sin(omega t)]. The first-order spatial-gradient term r dot grad A dot p cannot be omitted even though a local temporal field is specified.",
    "For ionization time t_prime the kinematic momentum is pi(p,t,t_prime) = p + A(t) - integral_{t_prime}^t grad A(tau) dot [p + A(tau)] d tau. Multibeam monochromatic fields can give secular time-difference terms; fixing or dropping t_prime changes periodicity and can create weak-family-scale noise.",
    "One harmonic-dipole construction is D(t) = integral^t dt_prime integral dp d[pi(p,t,t_prime)] exp[i S(p,t,t_prime)] F(t_prime) dot d[pi(p,t_prime,t_prime)] + conjugate, with S = Ip(t-t_prime) + (1/2) integral_{t_prime}^t pi(p,tau,t_prime)^2 d tau. Keep action sign and Fourier/radiation-frequency side consistently conjugated.",
    "Transform dipole with the correct squared-frequency acceleration factor before forming transverse norm-square, or use a physically equivalent acceleration construction. Longitudinal leakage is not a transverse nondipole signature.",
    "The fixed ionization potentials are He 0.90357 a.u. and Ne6+ to Ne7+ 7.61707 a.u. The latter is removal from the assigned target, not the next charge-state threshold. A standard defensible bound-continuum dipole may be chosen if fully defined and used consistently across each target's branches; hydrogenic effective 1s is not uniquely mandated.",
    "Helium spectra show distinct parity families, with a weak nondipole-sensitive family much smaller in the shorter-wavelength case and materially stronger in high-intensity mid-infrared driving. The intermediate 1.6 micrometer, 3.2e14 W/cm^2 case remains visible but weaker than the high-intensity case; do not impose an undefined binary category or exact endpoint ratio.",
    "The magnetic displacement scale is d_nd about F^2/(2 c omega^3); wave-packet width is about sqrt(F)/[omega (2 Ip)^(1/4)], hence zeta proportional to (2 Ip)^(1/4) F^(3/2)/(2 c omega^2). Half-cycle recollision imbalance makes the interferometric response more sensitive than an ordinary density/drop-off probe; no exact fit is required.",
    "For Ne6+ at 800 nm and 1e17 W/cm^2, nondipole linear emission is materially suppressed relative to dipole and theta = 2 degree geometry gives broad material but potentially incomplete recovery. No exact two-decade reduction, cutoff or complete recovery is a target.",
    "Magnetic drift is forward, while local longitudinal push reverses with half cycle: one trajectory set can compensate drift and re-collide while the other is inequivalent. This links control and symmetry-sensitive probing, not universal drift cancellation.",
    "The high-intensity first-order result is proof of principle, not a precise relativistic plateau prediction. Far-field separation, focal-volume yield and phase matching need separate macroscopic evidence. No hidden continuous harmonic range, orbit label, Stokes table or source floor is required.",
    "Concrete risks include lost ionization-time reference, field phase/axis or branch misbinding, wrong coherent/orbit selection, polarization leakage/floor-generated weak families, transition-dipole sensitivity and unsupported spectrum-domain extrapolation. If reasonable dipole choices reverse a central relation, use bounded scientific readback/adjudication, not a hidden preferred implementation.",
    "The score is the sum of twenty material-core criteria, each worth either 0 or 0.5, for a maximum of 10.0. Research Closure is descriptive and never caps, floors, rescales or repairs the score.",
    "Judge physical object identity and correctness before display similarity. For each output record object_valid, presentation_adequate and claim_adequate separately; all three must hold for its atomic award. A presentation or claim defect alone is not evidence that an existing physical object is absent or invalid.",
    "Candidate-created data, candidate presentation, candidate identification, physical inference and validation are distinct evidential acts. Examiner inspection or reconstruction may verify an object but cannot create missing candidate identification, reasoning or risk resolution.",
    "A dependency propagates only the failed necessary physical fact, not the whole upstream atomic verdict or unrelated missing detail. Name the failed premise, the downstream obligation needing it, and why independent candidate-presented evidence does not establish it. Preserve unaffected branches, independent work and honest scope.",
    "Numerical reliability has no separate generic penalty. Charge a defect where it materially damages a physical object or evidence, and a dependent conclusion only when that same defect makes the conclusion false or unsupported. Missing a preferred convergence study, control, solver or named self-check is not itself a failure.",
    "Risk-triggered validation applies only to a concrete material risk arising from the candidate method, data, anomaly or claim. With no such risk record N/A and award the fixed atomic credit without treating it as positive validation evidence; N/A does not block RC4. Unconditional scope obligations cannot be N/A.",
    "Before assigning RC3 establish all six: the concrete failure mode; its origin in candidate work; the fair task or standard-knowledge basis; the threatened central conclusion; why submitted evidence cannot expose or exclude it; and examples of functionally equivalent discriminating evidence or an honest scope restriction that would resolve it. A generic possibility of further testing is insufficient.",
    "Use bounded examiner-side source/reference readback only to resolve a material scientific uncertainty, not to demand pixels, an undeclared tolerance or additional candidate deliverables. A provisional score of at least 9.0 or provisional RC4 triggers one bounded central-output-anchor check and one principal-mechanism-link check. Reference conflict or insufficiency remains an explicit unresolved decision, not an invented target.",
    "Evaluate closure-role trigger facts independently of atomic awards and select the most severe failed required role across all indispensable and co-primary claims. Supporting claims do not independently set overall closure. A point loss alone is not a closure-gate fact.",
    "A valid candidate-caused incomplete or timeout attempt with no scientifically assessable required submission has score 0.0 and RC0 before N/A bookkeeping. Assessable incomplete work is graded from the submitted evidence; unsubmitted scratch or logs do not become scientific answers.",
    "To first order in spatial gradients, $H_L=p^2/2+\\mathbf r\\cdot\\mathbf F+\\mathbf r\\cdot\\nabla\\mathbf A\\cdot\\mathbf p+V_0$ (Eq. (8)). The kinematic momentum is $\\boldsymbol\\pi(\\mathbf p,t,t^{\\prime})=\\mathbf p+\\mathbf A(t)-\\int_{t^{\\prime}}^t\\nabla\\mathbf A(\\tau)\\cdot[\\mathbf p+\\mathbf A(\\tau)]d\\tau$ (Eq. (13)); for the multiple-beam secular term the lower time is the ionization time, not an arbitrary discarded constant.",
    "The continuum action is $S(\\mathbf p,t,t^{\\prime})=I_p(t-t^{\\prime})+\\tfrac12\\int_{t^{\\prime}}^t\\pi^2(\\mathbf p,\\tau,t^{\\prime})d\\tau$ (Eq. (15)), with the compatible dipole/Fourier conjugation in Eq. (14). Compare $S_\\perp(\\omega)\\propto\\omega^4(|\\widetilde D_x|^2+|\\widetilde D_y|^2)$ or a consistently converted acceleration equivalent, excluding z-polarized emission as specified by Figs. 3-4.",
    "The displacement/width ratio scales as $\\zeta=d/\\Delta x\\propto(2I_p)^{1/4}F^{3/2}/(2c\\omega^2)$ (Eq. (1)); ordinary density changes are quadratic while the symmetry-breaking interferometric response can be linear in the small displacement. This explains sensitivity, not a mandatory fitted exponent.",
    "The task fixes $I_p(\\mathrm{He})=0.90357$ a.u. and $I_p(\\mathrm{Ne}^{6+}\\to\\mathrm{Ne}^{7+})=7.61707$ a.u. A fully specified physically defensible SAE dipole is accepted at those thresholds; a hydrogenic effective-1s dipole is one allowed choice, not the uniquely source-prescribed atom."
  ],
  "closure_requirements": {
    "RC0": [
      "Required claim CL1, central object: All of [F1: Instantiate the specified two-beam field, focus phase, four target/case groups, dipole/nondipole branches and transverse observable, with Ip(He) = 0.90357 a.u. and Ip(Ne6+ to Ne7+) = 7.61707 a.u.; keep axes and units consistent.; F2: Derive a computable first-order-in-1/c nondipole SFA continuum/harmonic construction retaining spatial gradients and ionization-time-dependent kinematic momentum, with consistent action, branches and Fourier conjugation.]. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "Apply for a missing or materially invalid required central object; a presentation-only or claim-only defect does not establish object invalidity.",
      "No scientifically assessable required submission gives the terminal 0.0/RC0 disposition."
    ],
    "RC1": [
      "Required claim CL2, indispensable component: O1: Provide reconstructible transverse spectra or equivalent data for all three helium cases on a common comparison scale, resolving major parity families, the weak nondipole-sensitive family and material cross-case variation.. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "Required claim CL3, indispensable component: All of [O2: Provide a valid transverse dipole-reference branch for the specified Ne6+ target using the correct target input and comparison convention common to its other branches.; O3: Provide the same-observable Ne6+ nondipole linear-reference branch with enough global spectral structure to judge material suppression relative to its dipole reference.; O4: Provide the theta = 2 degree two-beam Ne6+ branch under the same observable/comparison convention, resolving material but not necessarily complete recovery relative to the nondipole linear reference.]. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "The central object is established but a required physical component is absent or materially invalid. Preserve independent valid branches; do not invent a hidden canonical plot, sampling grid or implementation duty."
    ],
    "RC2": [
      "Required claim CL2, principal mechanism: M4: Use the candidate's helium parity-family identity and case variation with the recollision-interference mechanism to establish an evidence-proportionate conclusion on sensitive single-atom nondipole probing.. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "Required claim CL3, principal mechanism: M6: Explain material but partial two-beam recovery through half-cycle-dependent longitudinal compensation/imbalance of return conditions, establishing recollision control from the candidate's three branches.. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "Required claim CL4, principal mechanism: M7: Synthesize the independent helium-probe and Ne6+-control chains to answer whether, and on what evidence, the specified two-beam geometry enables sensitive nondipole response and controllable recollision.. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "Required signal objects/components exist, but an indispensable principal mechanism or co-primary scientific conclusion is missing, wrong or unsupported by candidate-presented and identified evidence. Correct data do not let an examiner supply missing reasoning."
    ],
    "RC3": [
      "Required claim CL4, material validation: V2: Only when actual method, data, anomaly or claim triggers a concrete risk materially overturning the central probe/control conclusion, provide discriminating evidence or proportionate restriction; otherwise record N/A without claiming validation.. Judge role-trigger facts, not the sum or pattern of atomic scores.",
      "All indispensable signal and principal-mechanism roles are substantially supported, but a concrete triggered material risk remains unresolved and inadequately restricted.",
      "Establish the failure mode, candidate origin, fair task/knowledge basis, threatened central conclusion, insufficiency of submitted evidence, and equivalent resolution or scope restriction. Missing an examiner-preferred check alone never suffices."
    ],
    "RC4": [
      "Every nonempty required role in every indispensable and co-primary claim above is scientifically established from candidate evidence, with the correct case/model/observable identities and evidence-bounded conclusion.",
      "All applicable material risks are discriminated or honestly restricted; no unresolved material ambiguity remains. Risk N/A does not block closure or supply positive validation evidence. Honest limitations cannot repair a false signal or mechanism.",
      "Select the most severe failed required role if any; otherwise RC4. No score threshold, score ceiling or required display/solver checklist determines this classification."
    ]
  },
  "references": [
    {
      "citation": "Emilio Pisanty, Daniel D. Hickstein, Benjamin R. Galloway, Charles G. Durfee, Henry C. Kapteyn, Margaret M. Murnane, and Misha Ivanov. 2018. High harmonic interferometry of the Lorentz force in strong mid-infrared laser fields. New Journal of Physics, 20, 053036.",
      "url": "https://doi.org/10.1088/1367-2630/aabb4d",
      "scientific_scope": "Single-atom first-order nondipole HHG in a two-beam geometry, helium parity-sensitive probing and Ne6+ recollision control. Model-specific dipole and relativistic/macroscopic limitations remain explicit; source qualitative ratios and exact orbit choices are not hidden targets.",
      "anchors": [
        "author manuscript p. 2 (PDF page 3), Eqs. (2)-(5); p. 4, Fig. 3(a-c); p. 5, Fig. 4; stated task target-input table",
        "author manuscript pp. 3-4 (PDF pages 4-5), Eqs. (6)-(15), Fig. 2 and ionization-time-reference discussion",
        "author manuscript p. 4, Eqs. (14)-(15), transition-dipole definition, Fig. 3 caption; stated task dipole-choice boundary",
        "author manuscript p. 4 (PDF page 5), Fig. 3(a-c) and caption",
        "author manuscript p. 5 (PDF page 6), Fig. 4 and caption; p. 4, suppression/recovery discussion",
        "author manuscript pp. 3-4, Fig. 2, Eqs. (12)-(15) and reference-time discussion",
        "author manuscript p. 2, Eq. (1), displacement/width and interferometric-sensitivity paragraphs",
        "author manuscript pp. 1-2, Fig. 1(c-f), half-cycle-asymmetry discussion; p. 4, Fig. 3",
        "author manuscript pp. 4-5, Fig. 4, recovery and compensation discussion",
        "author manuscript pp. 4-5, relativistic-treatment warning and macroscopic phase-matching paragraphs"
      ]
    }
  ]
}