╔══════════════════════════════════════════════════════════════╗ ║ SDT BENCHMARK SUITE — Six-Law Framework ║ ║ Single Source of Truth: sdt_laws.hpp ║ ║ 9 Axioms · 18 Theorems · 0 Free Parameters ║ ╚══════════════════════════════════════════════════════════════╝ ══ B01: HYDROGEN ENERGY LEVELS ══ B01 H n=1 energy [eV] SDT=-13.6057 EXP=-13.5984 ERR= 0.0536% TOL= 0.08% [DERIVED] PASS B01 H n=2 energy [eV] SDT=-3.40142 EXP=-3.3996 ERR= 0.0536% TOL= 0.08% [DERIVED] PASS B01 H n=3 energy [eV] SDT=-1.51174 EXP=-1.5109 ERR= 0.0558% TOL= 0.08% [DERIVED] PASS B01 H n=4 energy [eV] SDT=-0.850356 EXP=-0.8499 ERR= 0.0536% TOL= 0.08% [DERIVED] PASS B01 Balmer 3->2 [nm] SDT=656.112 EXP=656.281 ERR= 0.0257% TOL= 0.08% [DERIVED] PASS nm B01 Balmer 4->2 [nm] SDT=486.009 EXP=486.135 ERR= 0.0259% TOL= 0.08% [DERIVED] PASS nm B01 Balmer 5->2 [nm] SDT=433.937 EXP=434.047 ERR= 0.0254% TOL= 0.08% [DERIVED] PASS nm B01 Balmer 6->2 [nm] SDT=410.07 EXP=410.174 ERR= 0.0253% TOL= 0.08% [DERIVED] PASS nm ══ B02: RYDBERG MULTI-ION ══ B02 He+ Lyman-alpha [nm] SDT=30.3756 EXP=30.378 ERR= 0.0080% TOL= 0.08% [DERIVED] PASS B02 Li2+ Lyman-alpha [nm] SDT=13.5003 EXP=13.502 ERR= 0.0129% TOL= 0.08% [DERIVED] PASS ══ B03: FINE STRUCTURE ══ B03 H 2P fine-structure splitting [eV] SDT=4.52826e-05 EXP=4.528e-05 ERR= 0.0057% TOL= 1.00% [DERIVED] PASS B03 Bohr v(1,1) = alpha*c [m/s] SDT=2.18769e+06 EXP=2.18769e+06 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS ══ B04: LAMB SHIFT ══ B04 H 2S-2P interval: nuclear-geometry term +0.761 MHz derived (APS04 2026-07-26, sign/order/scaling earned); full amplitude OPEN (FLM14). Measured 1057.845 MHz retained as OBSERVED-INPUT only. ══ B05: HYPERFINE 21cm ══ B05 H hyperfine 21cm [MHz] SDT=1421.16 EXP=1420.4 ERR= 0.0531% TOL= 0.08% [DERIVED] PASS ══ B06: MULTI-ELECTRON IONISATION ══ B06 He (Z=2) 1st ionisation [eV] SDT=39.3205 EXP=24.587 ERR= 59.9238% TOL= 5.00% [PENDING] FAIL B06 Li (Z=3) 1st ionisation [eV] SDT=5.74841 EXP=5.392 ERR= 6.6099% TOL= 5.00% [PENDING] FAIL B06 Be (Z=4) 1st ionisation [eV] SDT=12.9339 EXP=9.323 ERR= 38.7312% TOL= 5.00% [PENDING] FAIL B06 B (Z=5) 1st ionisation [eV] SDT=19.5922 EXP=8.298 ERR=136.1075% TOL= 5.00% [PENDING] FAIL B06 C (Z=6) 1st ionisation [eV] SDT=35.9275 EXP=11.26 ERR=219.0722% TOL= 5.00% [PENDING] FAIL B06 N (Z=7) 1st ionisation [eV] SDT=58.581 EXP=14.534 ERR=303.0619% TOL= 5.00% [PENDING] FAIL B06 O (Z=8) 1st ionisation [eV] SDT=80.01 EXP=13.618 ERR=487.5311% TOL= 5.00% [PENDING] FAIL B06 F (Z=9) 1st ionisation [eV] SDT=104.772 EXP=17.423 ERR=501.3450% TOL= 5.00% [PENDING] FAIL B06 Ne (Z=10) 1st ionisation [eV] SDT=128.65 EXP=21.565 ERR=496.5701% TOL= 5.00% [PENDING] FAIL ══ B07: THERMODYNAMICS ══ B07 Stefan-Boltzmann [W/m2/K4] SDT=5.67037e-08 EXP=5.67037e-08 ERR= 0.0000% TOL= 0.00% [DERIVED] PASS B07 Wien displacement [m·K] SDT=0.00289777 EXP=0.0028978 ERR= 0.0011% TOL= 0.01% [DERIVED] PASS ══ B08: ORBITAL MECHANICS ══ B08 Earth orbital velocity [m/s] SDT=29788.9 EXP=29783 ERR= 0.0199% TOL= 0.08% [DERIVED] PASS B08 GM_Sun [m3/s2] SDT=1.3275e+20 EXP=1.327e+20 ERR= 0.0379% TOL= 0.50% [DERIVED] PASS ══ B09: BINARY PULSAR DECAY ══ B09 Hulse-Taylor dP/dt: observed -2.4025e-12 s/s; GR quadrupole -2.4029e-12. SDT-native emission integral NOT built — OPEN (no earned prediction). ══ B10: STRONG FIELD RELATIVITY ══ B10 Mercury precession [arcsec/c] SDT=42.9914 EXP=42.98 ERR= 0.0265% TOL= 0.50% [DERIVED] PASS B10 Solar light deflection [arcsec] SDT=1.75169 EXP=1.7505 ERR= 0.0680% TOL= 0.50% [DERIVED] PASS ══ B11: PLANETARY OBLATENESS ══ B11 Earth J2 (uniform-fluid est.) SDT=0.00172484 EXP=0.0010826 ERR= 59.3239% TOL= 3.00% [PENDING] FAIL B11 Jupiter J2 (uniform-fluid est.) SDT=0.0445876 EXP=0.014736 ERR=202.5760% TOL= 3.00% [PENDING] FAIL ══ B12: STELLAR zk²=1 ══ B12 Sun zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS B12 Sirius A zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS B12 Alpha Cen A zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS B12 Procyon A zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS B12 Vega zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS ══ B13: CMB REDSHIFT ══ B13 CMB redshift z SDT=1099.72 EXP=1089 ERR= 0.9840% TOL= 1.00% [DERIVED] PASS ══ B14: GALACTIC ROTATION ══ B14 Milky Way R_flat [kpc] SDT=6.25 EXP=6 ERR= 4.1667% TOL= 12.00% [COMPUTED] PASS B14 NGC 3198 R_flat [kpc] SDT=7 EXP=7.2 ERR= 2.7778% TOL= 12.00% [COMPUTED] PASS B14 NGC 2403 R_flat [kpc] SDT=4.5 EXP=4.4 ERR= 2.2727% TOL= 12.00% [COMPUTED] PASS B14 M33 R_flat [kpc] SDT=4 EXP=4 ERR= 0.0000% TOL= 12.00% [COMPUTED] PASS ══ B15: BAO SCALE ══ B15 BAO sound horizon [Mpc] SDT=147 EXP=147.09 ERR= 0.0612% TOL= 3.00% [COMPUTED] PASS ══ B16: TRANSPORT SCALING ══ B16 Thermal cond exponent SDT=0.5 EXP=0.5 ERR= 0.0000% TOL= 0.05% [DERIVED] PASS B16 Viscosity exponent SDT=0.5 EXP=0.5 ERR= 0.0000% TOL= 0.05% [DERIVED] PASS B16 Diffusivity exponent SDT=0.5 EXP=0.5 ERR= 0.0000% TOL= 0.05% [DERIVED] PASS ══ B17: MAGNETIC g-FACTOR ══ B17 Electron g-factor SDT=2.00232 EXP=2.00232 ERR= 0.0002% TOL= 0.12% [DERIVED] PASS ══ B18: PROTON RADIUS ══ B18 R_p (W+1 conjecture) [m] SDT=8.41236e-16 EXP=8.414e-16 ERR= 0.0195% TOL= 0.08% [DERIVED] PASS B18 W_eff (should be 3.000) SDT=3.00078 EXP=3 ERR= 0.0261% TOL= 0.08% [DERIVED] PASS B18 He-4 radius = 2Rp [m] SDT=1.6828e-15 EXP=1.6755e-15 ERR= 0.4357% TOL= 0.50% [DERIVED] PASS ══ B19: BETA DECAY ══ B19 Beta decay Q-value [MeV] SDT=0.782333 EXP=0.782 ERR= 0.0426% TOL= 0.08% [DERIVED] PASS ══ B20: zk² UNIVERSALITY ══ B20 Hydrogen zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS B20 Earth orbit zk2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS ══ B21: FORCE HIERARCHY ══ B21 EM/Grav force ratio ~2.27e39: displayed for orientation only — the split of GM into G and kg-mass is unit bookkeeping SDT does not perform. No tally. ══ B22: PRESSURE HIERARCHY ══ B22 P_eff [Pa] SDT=5.22521e+31 EXP=5.225e+31 ERR= 0.0040% TOL= 0.50% [CALIBRATED] PASS B22 f = P_eff/P_conv SDT=2.12336e-17 EXP=2.125e-17 ERR= 0.0772% TOL= 1.00% [CALIBRATED] PASS B22 P_CMB [Pa] SDT=1.39159e-14 EXP=1.391e-14 ERR= 0.0427% TOL= 1.00% [DERIVED] PASS ══ B23: COULOMB COUPLING IDENTITY ══ B23 k_e*e2 (SDT derived) [J·m] SDT=2.30708e-28 EXP=2.30708e-28 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS ══ B24: EXCLUSION VOLUMES ══ B24 V_disp(e) [m3] SDT=9.98094e-62 EXP=9.988e-62 ERR= 0.0707% TOL= 0.08% [COMPUTED] PASS B24 V_disp(p) [m3] SDT=1.83265e-58 EXP=1.834e-58 ERR= 0.0734% TOL= 0.08% [COMPUTED] PASS B24 V_p/V_e = m_p/m_e SDT=1836.15 EXP=1836.15 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS B24 P_cf / (P_conv/3) = 1.0 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [IDENTITY] PASS ══ B25: ALPHA-CLUSTER BINDING ══ B25 He binding variational [eV] SDT=-77.4887 EXP=-79.005 ERR= 1.9193% TOL= 2.00% [COMPUTED] PASS B25 He binding exact NR [eV] SDT=-79.0052 EXP=-79.005 ERR= 0.0003% TOL= 0.00% [COMPUTED] PASS B25 R_He = 2Rp [fm] SDT=1.6828 EXP=1.6755 ERR= 0.4357% TOL= 0.50% [DERIVED] PASS fm ══ B26: TREFOIL TOPOLOGY ══ B26 Proton (2,3) budget vT2+vP2=c2 SDT=1 EXP=1 ERR= 0.0000% TOL= 0.00% [DERIVED] PASS B26 Proton surface v_phase [c] SDT=1.83016 EXP=1.83 ERR= 0.0088% TOL= 0.50% [COMPUTED] PASS B26 m_p/m_e = 6pi^5 (topology) SDT=1836.12 EXP=1836.15 ERR= 0.0019% TOL= 0.01% [DERIVED] PASS ══ B27: c FROM GEOMETRY (koppa closure) ══ B27 k_Sun from precession SDT=686.404 EXP=686.3 ERR= 0.0151% TOL= 0.50% [COMPUTED] PASS B27 c from precession closure [m/s] SDT=2.99795e+08 EXP=2.99792e+08 ERR= 0.0009% TOL= 0.01% [DERIVED] PASS ══ B28: DEPTH-CLOSURE THEOREM ══ B28 Solar redshift = depth z_Sun SDT=2.12311e-06 EXP=2.1225e-06 ERR= 0.0286% TOL= 0.10% [COMPUTED] PASS B28 Earth v = c sqrt(koppa/r) [m/s] SDT=29788.9 EXP=29783 ERR= 0.0199% TOL= 0.08% [DERIVED] PASS ══ B29: GW CHIRP FROM KOPPA ══ B29 GW150914 f_isco [Hz] SDT=67.6352 EXP=68 ERR= 0.5365% TOL= 5.00% [COMPUTED] PASS ══ B30: DEUTERON BINDING ══ B30 Deuteron binding [MeV] SDT=2.20079 EXP=2.2246 ERR= 1.0703% TOL= 2.00% [DERIVED] PASS ══ B31: BBN DEUTERIUM BOTTLENECK ══ B31 D-bottleneck T [MeV] SDT=0.0624481 EXP=0.07 ERR= 10.7884% TOL= 50.00% [DERIVED] PASS ══ B32: CHERENKOV ANGLE ══ B32 Cherenkov max angle water [deg] SDT=41.3934 EXP=41.4 ERR= 0.0160% TOL= 1.00% [COMPUTED] PASS ══ B33: TURBULENT CASCADE ══ B33 Inertial-range |slope| (ideal) SDT=1.66667 EXP=1.705 ERR= 2.2483% TOL= 5.00% [COMPUTED] PASS B33 Refusal-corrected |slope| SDT=1.6928 EXP=1.705 ERR= 0.7153% TOL= 2.00% [DERIVED] PASS ══ B34: DRAFTING FLOOR a₀ ══ B34 a0 = cH0/2pi [m/s2] SDT=1.04219e-10 EXP=1.2e-10 ERR= 13.1508% TOL= 20.00% [COMPUTED] PASS ══ B35: ALPHA FROM THE SEAT ══ B35 1/alpha from H ionisation SDT=137.073 EXP=137.036 ERR= 0.0267% TOL= 0.20% [COMPUTED] PASS ══ B36: KOPPA INVARIANCE (JUPITER) ══ B36 Moon-to-moon 8/8 ratio (1=exact) SDT=1.00033 EXP=1 ERR= 0.0330% TOL= 0.20% [DERIVED] PASS ══ B37: RANK-4 LATTICE BAND (PREDICTION) ══ B37 fourth-moment band predicted [0.1111, 0.2593] vs continuum 0.2000 — awaiting measurement (TD03, direct 2026-07-26). PENDING. ══ B38: SHELL SCHEDULE — CLOSURE TIERS + TRITON BELTS ══ B38a closure rebuild 2,8,20,28,50,82,126: 7/7 ✓ (also enforced by static_assert in laws.hpp) B38b parity lock: 12/12 — five odd-odd quasi-stables flagged, seven lone-rod grips cleared ✓ B38c first belt (N=28): Ca-48 n_t=8 = full 4-pair belt (held, doubly magic) · Ni-56 n_t=0 = belt empty (unstable) ✓ B38d closure-kink isotone invariant (measured, pre-registered 2026-07-30): constant beats occupancy-proportional on every adjudicable isotone (N=28,50,82); 19/19 closure kinks negative; lone-rod-inward census 83.1% — the freeze does the compacting. ATOMICUS/reports/CLOSURE_KINK_ISOTONE_REPORT.md B38e COMPLETION LAW: all capacities from two closed forms — F(n)=(n+1)(n+2) bipartite-triangular tiers, B(n)=2(n+1) rolling-equator belts: 9/9 ✓ forward prediction: next closure N = 184 (126 + R(6) + B(7)). Onset n=3 still READ — the residual NP33 debt. B38 sequence-exact; counting convergent with the shell model, origin native — capacities DERIVED 2026-07-30. ══ COVERAGE ROSTER: ORIGINAL CATALOGUE B01–B100 ══ codes: T = tallied in this suite · A = earned in a direct assessment S = investigation seeded 2026-07-29 · O = investigation open (the companion repo's old certifications carry no weight; B04-old and the self-referential B51+ validations are recorded as void) B01-B25 T this suite (B04 note-only: APS04 term derived, amplitude open; B06 PENDING → APS10 seeded; B09 open; B11 PENDING) B25-26 A alpha geometry/overlap — NP10, NP33 mesh log B27,33 A radius scaling + isotope shifts — NP12, APS07, contraction rule B29,43 S first ionisation from pressure — APS10 (the B06 gap) B30,31 S electron affinity CH08 · atomic radius CH09 B32,48 A shell completion / packing pathways — NP32, NP33; the closure schedule is now canon (laws.hpp, tallied B38) B34 T deuteron lock tallied here (B30); heavier locks open B35-47 O NP28/NP15/PPT01/CH03/NP12/NP30/FLM10/FD11/CH03/SAR02/CM03/PPT06 B49,50 O stability maps NP21/NP29 · end-to-end = this suite B51-57 A/O/S QM01 O · OP05 O · QM03 A (Geiger–Nuttall) · QM07 O · QM05 A · QM08 S (eraser) B58-60 S/A lepton moments PPT12 S (B17 form here) · APS04 A (B04 note) B61-68 S/A GPS GOM20 S · muon budget PPT16 S · depth B28 T · GOM21 S · shadow GOM18 O · chirp B29 T · decay integral open B69,70 A NS radius 11.0 km (NP30) · CMB counted (TD06) — ports owed B71-78 O/S PPT03/07 O (6pi^5 hook B26) · pion PPT13 S · n-p B19 T · resonances PPT14 S · lifetime NP04 O · radius B18 T · CP PPT15 S · mixing PPT11 O B79,80 O GD05 · CR09 — open, stated on the public site B81-88 O CM01/CM03/CM06/CM07/CM05/TD04(A)/OP01 B89-94 A/S SAR03-04 A · white dwarf SAR07 S · pulsar SAR08 S · SN Ia CR12 A (exclusion recorded) · neutrinos PPT11 O · BBN TD09 A → tallied here (B31) B95-100 S/O Zeeman APS08 S · Stark APS09 S · Faraday OP08 S · Casimir FLM15 S · Cherenkov A → tallied here (B32) · OP01 O ╔══════════════════════════════════════════════════════════════╗ ║ RESULTS: 54/65 earned predictions passed (83.1%) ║ ║ + 11 consistency identities (definitional; NOT predictions) ║ ║ + 2 CALIBRATED (class E, documented; not earned) ║ ║ 0 genuine fail · 11 PENDING (known-open, flagged) ║ ╚══════════════════════════════════════════════════════════════╝ Unmet benchmarks (✗ = genuine regression, ⧖ = PENDING open problem): ⧖ B06: He (Z=2) 1st ionisation [eV] (59.9238% > 5.00% tolerance) ⧖ B06: Li (Z=3) 1st ionisation [eV] (6.6099% > 5.00% tolerance) ⧖ B06: Be (Z=4) 1st ionisation [eV] (38.7312% > 5.00% tolerance) ⧖ B06: B (Z=5) 1st ionisation [eV] (136.1075% > 5.00% tolerance) ⧖ B06: C (Z=6) 1st ionisation [eV] (219.0722% > 5.00% tolerance) ⧖ B06: N (Z=7) 1st ionisation [eV] (303.0619% > 5.00% tolerance) ⧖ B06: O (Z=8) 1st ionisation [eV] (487.5311% > 5.00% tolerance) ⧖ B06: F (Z=9) 1st ionisation [eV] (501.3450% > 5.00% tolerance) ⧖ B06: Ne (Z=10) 1st ionisation [eV] (496.5701% > 5.00% tolerance) ⧖ B11: Earth J2 (uniform-fluid est.) (59.3239% > 3.00% tolerance) ⧖ B11: Jupiter J2 (uniform-fluid est.) (202.5760% > 3.00% tolerance) Certification labels: DERIVED — computed from axioms, no external input beyond CODATA COMPUTED — deterministic calculation from the Law framework CALIBRATED — one parameter fitted (documented at the call site) OBSERVED — validated against observation, mechanism established PENDING — mechanism identified, SDT-native derivation not yet implemented IDENTITY — true by definition/construction; shown as consistency, never tallied