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838 public concepts

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1. Rotating neutron-star quadrupole and continuous waves — A time-varying non-axisymmetric mass quadrupole can generate a projected gravitational-wave signal.
2. Quantum spin relative to a measurement axis — Spin-one-half measurement probabilities depend on the angle between preparation and measurement axes.
3. Strange flavor and spin-one-half state — A strange quark has intrinsic spin one half; flavor does not specify its polarization or a hidden classical tilt.
4. Gluon spin and physical helicity — The gluon is classified as spin one, while a physical on-shell massless gluon has helicities plus or minus one.
5. Pair spin correlation without constituent polarization — Two spin-one-half states can each have zero individual mean spin yet differ in total spin and pair correlation.
6. Proton spin decomposition — Proton spin is a total conserved angular momentum with quark spin, quark orbital and gluon total contributions defined at a resolution scale.
7. Lambda ensemble polarization from collision geometry — STAR inferred a statistical Lambda and anti-Lambda spin preference relative to the collision angular-momentum direction from decay products.
8. Lambda–anti-Lambda pair spin correlation — The 2026 STAR result infers a pair relative-polarization signal of (18 ± 4)% from final-state hyperon decays.
9. Spin-one tensor alignment without a net spin arrow — The phi-meson spin-projection population rho00 tests an axis preference; an unpolarized ensemble has rho00 equal to one third.
10. Backward-time positron representation in QED — Feynman's backward-time electron lines represent positron amplitudes in QED; the representation does not identify all electron excitations as one worldline.
11. Wheeler one-electron-worldline quark-spin extension gate — A gauge-covariant one-particle lepton-to-quark vertex can be written with an external color-triplet mediator, but a single line misses the free two-electron determinant; sewing contracts external gauge indices and one connected loop omits disconnected terms.
12. 5D spinor rotations and compact momentum have distinct roles — In the declared free 5D spinor representation, S12 has spin-half eigenvalues at every level while n/R changes the 4D KK mass.
13. Single-R2 first-generation scalar–tensor rank-one test — A single aligned first-generation R2 mediator predicts C_lequ1=4 C_lequ3 and |C_lequ1|²=C_lu C_qe at one matching scale. A direct tree exchange fixes the signed scalar/tensor pair for the declared action.
14. R2 tensor-to-electroweak-dipole isolated leading log — The published one-loop SMEFT anomalous dimension evolves the R2 tree tensor coefficient into calculable eW and eB mixing components, with a nonzero eB component for nonzero first-generation inputs.
15. R2 isolated-log comparison with frozen electron benchmark — The first-generation R2 tensor-source log alone has a fixed eB/eW ratio of -0.913, while the frozen electron-only electroweak benchmark has +0.00491; matching its eW coefficient alone requires |ab*| about 10 at 1 TeV.
16. First-generation R2 one-loop electroweak dipole hard match — A published source supplies explicit first-generation R2 hard contributions to both Warsaw electron dipoles; its logarithms close against the action-derived signed tree coefficient. The Popov printed tree expression still prevents a cross-paper signed join.
17. Minimal R2 hard-match zero-eB boundary refusal — At a 1 TeV matching scale and the declared first-generation Yukawas, the published one-loop R2 hard match gives Re(C_eB)<0 for every nonzero complex pair of its two chiral couplings; it cannot realize the frozen nonzero-eW, zero-eB input boundary by itself.
18. Variable-mass R2 zero-eB component ceiling — With a first-generation R2, fixed declared Yukawas, M>=1 TeV and |a|,|b|<=sqrt(4pi), zero eB at 1 TeV first becomes possible above 1.18965 TeV, while the source-scoped eW component stays below 6.3163e-14 GeV^-2.
19. R2 to neutrino–electron recoil prediction gate — The R2 tree relations do not by themselves predict C_eW, C_eB or neutrino–electron recoils; a full signed loop/RG match and independently fixed parameters are required.
20. Bipartite entanglement and separability — An entangled joint density operator cannot be written as a convex mixture of product states.
21. Singlet joint spin statistics — Ideal joint spin outcomes correlate by the angle between two measurement axes, while each local outcome is random.
22. Local reduced state and random marginal — Partial trace removes the unavailable partner record; either side of an ideal singlet locally has I/2.
23. No-signalling under local trace-preserving operations — A local physical operation at Alice cannot change Bob's unconditional reduced state.
24. Bell–CHSH correlation bound — Ideal singlet settings can exceed the local hidden-variable CHSH bound without enabling signalling.
25. Metric light cone and causal order — The metric distinguishes locally spacelike separations from future-directed causal signal paths.
26. Spacelike microcausality in quantum field theory — Local bosonic observables at spacelike separated regions commute in a causal relativistic field model.
27. Causal comparison of observer records — Correlations become jointly knowable only after settings and outcomes are brought together through a causal channel.
28. Quantum teleportation classical-message dependency — An ideal unknown qubit can be reconstructed using a shared Bell pair and two classical correction bits.
29. Entanglement entropy versus physical energy — Entanglement entropy is an information measure; physical energy is the Hamiltonian expectation value.
30. Entanglement and causal-transport evidence gate — A named apparatus needs independent state, spacetime, communication, and energy receipts before any transport or energy claim.
31. Earth-strength electron Zeeman frequency scale — A specified field magnitude gives an electron spin frequency scale through g mu_B B / h.
32. Synthetic two-electron radical-pair singlet yield — A versioned spin Hamiltonian and equal-rate reaction model map field, angle, hyperfine tensor, and lifetime to a singlet product fraction.
33. Fly radical-pair response evidence gate — A synthetic chemical yield becomes a fly-level prediction only after molecule, lifetime, orientation, and independent response data are fixed.
34. Electron field, spinor, and fermionic statistics — One electron field admits many electron and positron excitations; its spin-1/2 representation and fermionic exchange rule are distinct from a one-particle worldline.
35. Frozen electron weak dipole to photon magnetic response — One real Warsaw eW coefficient at 1 TeV runs to the electron photon dipole and a signed electron anomalous-moment shift in the pinned Wilson and flavio conventions.
36. Electron anomaly and independent atom-alpha input ledger — The published electron anomalous-moment measurement and separate Rb and Cs atom-recoil fine-structure determinations are empirical inputs with independent provenance.
37. Separate Rb and Cs electron-dipole coefficient inferences — An electron a_e measurement and two independent atom-recoil alpha inputs yield separate, conditional Rb and Cs intervals for the same frozen electron coefficient.
38. pp and pep electron-leg and rest-mass kinematics — pp makes a positron and neutrino without an incoming electron; pep consumes an electron, with a rest-mass Q difference of two electron rest energies.
39. Coulomb entrance and weak neutrino-production separation — Proton approach through the Coulomb barrier and the weak charged-current conversion are separately required in pp/pep production.
40. Local magnetic dipole splitting and phase scale — A specified magnetic moment, constant local rest-frame field, and proper-time interval give a spin-splitting frequency and relative phase.
41. Published charged electron-dipole dimension-seven LEFT tree match — The frozen electroweak electron-dipole coefficient tree-matches to the published charged semileptonic derivative operator O_duνeD1 with a specified electroweak-scale Wilson coefficient.
42. Charged-W action sign repair through conditional pp/pep hits — The charged-W field-strength action reverses the legacy direct pp/pep source vertex sign. Its conditional reaction and B16 hit replays are versioned separately from the published LEFT coefficient.
43. Charged LEFT quark-current pure-QCD running control — The non-singlet left quark current in O_duνeD1 has zero diagonal pure-QCD anomalous dimension in a chiral-current-preserving mass-independent scheme; its color-singlet lepton derivative is a QCD spectator.
44. On-shell pp/pep charged-dipole lepton-current reduction — The direct charged-W electron-dipole derivative vertex equals a momentum-weighted lepton scalar plus an electron-mass vector term for the specified on-shell pp or pep external legs.
45. Reactor antineutrino deuteron axial calibration basis — The Krasnoyarsk charged-current breakup measurement supplies an independent weak target while versioned inputs supply same-regulator deuteron-to-nn radial functions, phase space, a signed axial response, and a frozen selected-S-wave linear A(E)+B(E)L1A_project kernel with a one-body recoil current; a later uranium-235 flux refit remains separate.
46. Triplet odd-wave reactor breakup response — Finite momentum transfer admits a spin-triplet, odd-orbital nn final state from the charged vector density and spatial axial current. A free-plane-wave calculation and a separate J-resolved, charge-symmetric Gaussian model use the same deuteron, lepton and phase-space conventions as the frozen singlet S-wave kernel.
47. Reactor triplet P-wave independent phase-shape gate — A predeclared two-parameter, 1.2 fm Gaussian triplet-P interaction fits np isovector phases at 1 and 5 MeV and checks 10 MeV phases that did not enter the fit. Exact charge symmetry is an explicit model restriction when considering nn.
48. Published coupled triplet-P np on-shell ERE check — A separately sourced, parameter-fixed low-energy effective-range expansion reconstructs np 3P0 and 3P1 phases and the coupled 3P2-3F2 nuclear-bar S matrix, including epsilon2 mixing, over reactor-sampled relative energies.
49. Published AV18 charge-dependent nn triplet-P interior scattering — The byte-pinned official Argonne v18 source produces distinct nn and np nuclear triplet-P potentials, including the coupled 3P2-3F2 tensor channel. A regular radial solver matches their phases to the authors' own tabulation and normalizes interior waves by unit incoming partial-wave amplitude.
50. Official AV18 deuteron S-D bound-state replay — The unmodified AV18 np 3S1-3D1 potential generates a normalized coupled deuteron wave function whose binding, D-state probability and radial shape reproduce the authors' own AV18 results.

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