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838 public concepts

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1. B23 paired pp/pep hit join with pp energy shape — The separately versioned zero-mean pp shape hit spectrum is added once to the frozen B23 pp/pep seven-term ledger, then source-prior ideal information and held-out public fixed-fit scores are recomputed under all four provisional detector signs.
2. B23 pp common-entrance dipole ratio and hit shape — A common point-Coulomb Maxwell–Gamow entrance measure weights the Standard Model and frozen electron-dipole allowed traces at each neutrino energy. Their ratio is centered on the authenticated Bahcall pp spectrum and projected through the B23-GS98 radial MSW state into hit bins.
3. B23 paired pp/pep hit join with joint-entrance pp shape — The joint-entrance pp shape bins are added once to the unchanged B23 paired hit ledger, then the four detector-sign ideal information and public fixed-fit diagnostics are recomputed with separate Rb/Cs electron intervals.
4. B16/SFII pep radial-shape MSW comparison — Inside Solar Fusion II's stated temperature range, a versioned operator normalizes the hosted B16 pep profile and a pp-profile-times-local-ratio reconstruction separately, then compares their radial shapes and pep-line MSW survival.
5. Published neutrino-electron dimension-seven LEFT tree match — The published matching formula assigns a neutrino-electron derivative operator to the electroweak electron dipole, with neutral-Z contributions for all active flavors and a charged-W contribution for electron neutrinos. Project-action signed-basis comparisons currently disagree for both detector terms under direct coefficient identification; the same neutral derivative sign pattern extends to the published down- and up-quark dipole rows.
6. Electron LEFT derivative Fourier-orientation audit — The published right-minus-left derivative definition gives distinct pp, pep, and detector plane-wave momentum factors. A uniform reversal of that definition cannot reconcile the frozen source/detector coefficient-sign triangle.
7. Electron derivative-current photon-contact Ward check — The project's gauge-covariant EOM-reduced neutral electron current satisfies a photon Ward identity only when the derivative photon contact accompanies both external-electron emission legs.
8. Isolated electron tensor-bilinear QED scale control — An explicit one-loop Abelian charge-factor inference estimates how an isolated electron tensor-bilinear coefficient changes between the electroweak scale and low energy. It is not the complete dimension-seven neutrino-electron LEFT running matrix.
9. One electroweak action across photon, charged source, and detector dipoles — A single declared Warsaw eW/eB action and Higgs contraction fixes the relative photon/W/Z dipole coefficients. Its original (+1,-1,-1) derivative comparison is historical; the later charged-W action audit corrects the source entry to -1.
10. Same-action direct Z and crossed W detector recoil check — One frozen electroweak electron-dipole action and one tree input scheme supply the neutral and crossed charged amplitudes before their linear interference with the same free-electron Standard Model recoil amplitude.
11. Frozen electron magnetic response to direct neutrino-electron recoil ratio — For one real Warsaw eW input, the coherent direct Z/W free-electron recoil shift divided by the matched electron magnetic shift is independent of the coefficient probe at linear order.
12. B16 pp and pep same-action direct Z/W detector hit projection — The frozen action-defined direct Z and crossed W electron-scattering terms are folded through B16-GS98 pp/pep fluxes, source-weighted MSW survival, free-electron recoil, and the independent reconstructed Borexino hit response using one electroweak tree normalization.
13. Historical positive-probe B16 dimension-six plus direct Z/W detector hits — The original positive-only Wilson WET/JMS dimension-six neutrino-electron probe and action-defined direct Z/W terms were added on the same B16-GS98 pp/pep full-recoil and reconstructed hit axes; the D6 probe was later shown to include an even-in-coefficient part.
14. Dimension-six contact and direct Z/W common-spinor recoil check — At three free-electron recoil points for electron, muon and tau neutrinos, the frozen WET/JMS vector contact and action-defined direct Z/W dipoles interfere with one Standard Model spinor amplitude; the contact matches the independent Born recoil polynomial.
15. Frozen electron dipole to WET vector origin split — Splitting the electroweak Warsaw state before Wilson matching shows zero direct eW/eB contribution to six WET-3/JMS neutrino-electron dimension-six vector keys at matching orders zero and one; the full state reproduces the existing inventory.
16. Signed linear origin of the detector WET6 vector contact — Odd-in-CeW probes split the evolved electroweak Warsaw state before Wilson WET-3/JMS matching. All six tested VnueLL/LR linear slopes vanish for isolated eW/eB, while the full branch exactly reproduces the signed contact inventory used by the corrected B23 hit model.
17. Implemented-order WET6 contact and direct-dipole origin and span — For the frozen Warsaw eW input, six signed Wilson WET6 vector slopes vanish on the isolated evolved-dipole branch, and the action-defined direct Z/W spinor amplitude has a non-vector component at three recoils. The retained D6 plus direct first-order spinor sum closes without appending an extra EOM mass-vector term.
18. Signed-slope B16 dimension-six and direct Z/W partial detector hits — The odd-in-CeW Wilson WET-3/JMS vector response replaces the historical positive-only D6 slope and is folded with the unchanged direct Z/W term through the same B16-GS98 pp/pep reconstructed hit model.
19. Restricted field-rephasing test of source/detector dipole signs — Enumerating real field-sign choices that preserve the declared positive electron mass and Standard Model W/Z vertices cannot produce the observed source-plus, detector-minus published-to-project derivative pattern.
20. Repaired three-channel restricted sign-map gate — After the charged-W source correction, no real field-sign assignment preserving the declared mass and Standard Model vertices reproduces the literal (-1,-1,-1) source/detector derivative pattern. A whole-field map needs an explicit Pauli Wilson-coordinate flip.
21. Author-informed conditional dipole convention map on fixed spinors — The opposite high-energy covariant derivative suggested by Ma reproduces Eq. 21's neutral, charged-source and crossed-W tree signs under the stated action and prior crossed-spinor identity. A whole gauge-field and Pauli-coordinate change is also tested against free-neutrino/electron amplitudes, tied mass-vector descendants and the photon contact.
22. Frozen Warsaw-action direct tree sign lock — The specified positive-Warsaw-action eW benchmark fixes one charged-source, neutral-Z and crossed-W direct tree sign tuple before any held-out pp/pep likelihood. The opposite literal Eq. 21 same-symbol signs remain a paper-coordinate diagnostic, not a solar-fitted branch of this model.
23. Borexino 2018 public hit-bin observations and errors — The collaboration's authenticated Nature 2018 Fig. 2a table gives observed content and reported errors in 859 integer hit bins.
24. Borexino 2018 published total-fit residual product — The public table also reports each bin's standardized residual against the collaboration's fitted total spectrum.
25. Borexino pp/pep recoil-to-hit signal projection — A versioned approximate response maps pp/pep recoil spectra into published Borexino hit bins and projects provisional first-order source flux, pp source shape, MSW, and detector electron-dipole terms.
26. One-body tensor-charge source choice in provisional pp/pep hit rates — Two independently sourced single-nucleon tensor charges change the one-body control ratio, which is propagated through the same frozen affine pp/pep hit and full-recoil model.
27. Borexino Phase-II eight-pull Figure 7 profile rehearsal — The two pinned observed spectra and printed MC-example total fit are rebinned to 96 bins per TFC sample, then the published Table 4 eight-pull linear Gaussian subsystem is profiled analytically.
28. Borexino Phase-II nineteen-pull Figure 7 background profile rehearsal — The same 192 rebinned Figure 7 observed and printed-total bins are profiled with the eight Table 4 detector pulls plus Coloma et al.'s eleven background normalization pulls.
29. Borexino Phase-II three-shift Figure 7 sensitivity — Coloma et al.'s three original-bin component central-difference columns are added to the nineteen-pull figure rehearsal and profiled under explicitly different shift assumptions.
30. Borexino Phase-II candidate 27-column Figure 7 profile — Five correlated solar-flux columns from the visible fitted signal curves are added to the partial 22-pull figure rehearsal, with a first-order B16-GS98 source covariance as their conditional prior.
31. Frozen partial electron dipole in candidate Borexino 27-pull figure profile — Historical B16-GS98 partial pp/pep template transferred onto fitted Figure 7 curves and profiled over 27 nuisance columns. Its direct-source sign and omitted pp shape were corrected in the later action-repaired profile.
32. Action-repaired partial electron template in the conditional 27-pull profile — The charged-W direct-source sign is corrected on all B16 pp/pep hit bins and the previously omitted pp source shape is included before the same fitted Figure 7 signal curves and candidate nuisance model are profiled.
33. Frozen electron template under the published B16 source prior — The same partial electron-dipole Figure 7 profile is replayed with the projected published B16 source-flux covariance instead of the 22-input linear covariance, holding the electron endpoints and all other figure inputs fixed.
34. Frozen electron profile under an isotope-weighted CNO selected-rate prior — The conditional Figure 7 electron profile is replayed with the B16 CNO covariance row weighted by isotope-resolved selected hit rates instead of source fluxes.
35. Frozen electron Figure 7 profile with three CNO isotope flux pulls — Historical 29-column conditional profile splitting the aggregate CNO flux derivative by isotope hit rates. Its electron template inherits the superseded direct-source sign and omitted pp shape from the earlier 27-pull profile.
36. Action-repaired electron template in the conditional isotope-CNO 29-pull profile — The corrected charged-W pp/pep source sign and restored pp shape pass through the same seven-flux isotope-resolved Figure 7 nuisance construction, with independent electron endpoints and unresolved detector signs retained.
37. Borexino Phase-II shared pp/pep signal-pull prior component — Coloma et al.'s Table 4 pp and pep rows define eight shared independent Gaussian signal pulls whose fractional prior covariance is the product of their coefficient matrix with its transpose.
38. B16 pp/pep selected-hit calibration sensitivity — The same unperturbed B16-GS98 Born/MSW recoil spectrum is folded through Gaussian hit responses with declared mean-hit and width perturbations while its full-recoil rate is held fixed.
39. Borexino Phase-II pp/pep selected-window response scale — A B16-GS98 Born/MSW full-recoil rate is folded through the published reconstructed Gaussian hit response, then compared on the exact visible support of the fitted Fig. 7 pp/pep signal curves.
40. Borexino Phase-II lower residual-panel coordinate check — The printed lower-panel residual markers are placed on their own 858-bin horizontal grid and checked against residuals reconstructed from the two upper-spectrum observed and fitted-total vectors.
41. Borexino Phase-II fixed-total 96-bin alignment diagnostic — The two digitized observed panels and printed MC-example total-fit curves are rebinned by Coloma et al.'s 96-bin-per-sample partition and checked under a bounded global hit-axis shift.
42. Borexino Phase-II plotted component inventory and closure check — Pinned Fig. 7 vector paths separate the displayed solar and background curves in both TFC panels, with clipped or unplotted bins kept blank and their visible sum checked against the black total-fit line.
43. Borexino Phase-II plotted TFC observed markers and total fit — The SHA-256-pinned Phase-II source PDFs encode 853 TFC-subtracted and 855 TFC-tagged observed rate markers with plotted error bars; their separate black total-fit lines are sampled on the same hit bins.
44. Borexino Phase-II Fig. 7 fitted 210Bi vector trace — The authenticated arXiv source figure yields the labeled 210Bi fit curve on both TFC-subtracted and TFC-tagged hit-spectrum panels through a reproducible SVG-path extraction.
45. Borexino Phase-II published pp and pep fitted rates — The collaboration's Table II supplies pp and CNO-condition-dependent pep fitted interaction rates with separate statistical and asymmetric systematic errors.
46. Published SK Gaussian surrogate for Borexino joint pp/pep fitted rates — The SK-IV paper reconstructs a three-rate Borexino Phase-II Gaussian precision matrix; a versioned operator marginalizes Be7 and projects the frozen partial electron template into pp/pep rate space.
47. Frozen electron-dipole pp/pep conditional absolute-rate benchmark — A versioned receipt joins independent electron-only coefficient branches to the same B16-GS98 shape-aware source, MSW, and detector ledger, reports absolute Born/MSW pp and pep rates with separate source-only covariance, and places held-out fitted rates alongside them.
48. Channel-resolved tensor-current electron-to-solar rate replay — A versioned operator maps six explicit same-scheme axial/tensor current inputs into separate pp and pep tensor ratios, then joins the frozen electron coefficient branches to B16-GS98 source, MSW, recoil and selected-hit templates with held-out fitted rates kept separate.
49. Conditional pp/pep local reaction-rate sensitivity — The corrected two-ratio full-recoil map is recast in fractional pp and pep weak-reaction changes; an exact affine box bound is compared descriptively with held-out marginal statistical rate errors.
50. Conditional pp/pep joint source-reaction Fisher directions — A versioned matrix operator combines the corrected two-reaction B16 full-recoil Jacobian with the SK published Gaussian surrogate for Borexino pp/pep fitted-rate correlations, and checks the reaction-basis rate vector against the direct frozen template. A second operator holds marginal scales fixed while stressing the rate geometry with Borexino's released method-specific correlations.

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