43 Standard Model observables

All values are derived from the symmetry s = 1/2 (Theorem T1), at fixed point μ* = 15. No fitted parameters at any step; one external input (dimensional calibration 1 SCU ≡ 1 MeV).

Filter by sector:

43 observables · mean error 0.30% · median 0.06% · click a row to see the derivation

#	Observable	Sector	PT	PDG	Error
1	1/α_EM	gauge	137.035 999 083	137.035 999 084	400.0 ppb
2	α_s(m_Z)	gauge	0.11806	0.11800	0.048 %
3	sin²θ_W	gauge	0.23119	0.23121	0.010 %
4	G_F	gauge	1.16638×10⁻⁵	1.16638×10⁻⁵	~0% (self-consistent)
5	m_μ	leptons	105.658 MeV	105.658 MeV	~0% (self-consistent)
6	m_τ	leptons	1776.86 MeV	1776.86 MeV	~0% (self-consistent)
7	m_u	quarks	2.156 MeV	2.16 MeV	0.170 %
8	m_d	quarks	4.656 MeV	4.67 MeV	0.290 %
9	m_s	quarks	93.395 MeV	93.4 MeV	0.0050 %
10	m_c	quarks	1272.4 MeV	1270.0 MeV	0.190 %
11	m_b	quarks	4164.8 MeV	4180.0 MeV	0.360 %
12	m_t	quarks	172 698 MeV	172 760 MeV	0.036 %
13	m_W	bosons	80.3635 GeV	80.369 GeV	0.0070 %
14	m_Z	bosons	91.1878 GeV	91.188 GeV	0.016 %
15	m_H	bosons	125.287 GeV	125.25 GeV	0.030 %
16	\|V_ud\|	CKM	0.974 184	0.97373	0.047 %
17	\|V_us\|	CKM	0.224 214	0.2243	0.038 %
18	\|V_ub\|	CKM	0.003 814	0.00382	0.146 %
19	\|V_cd\|	CKM	0.221 072	0.221	0.033 %
20	\|V_cs\|	CKM	0.974 406	0.975	0.061 %
21	\|V_cb\|	CKM	0.040 746	0.0408	0.132 %
22	\|V_td\|	CKM	0.007 999	0.008	0.017 %
23	\|V_ts\|	CKM	0.038 811	0.0388	0.029 %
24	\|V_tb\|	CKM	0.999 215	0.9991	0.012 %
25	δ_CP^CKM	CKM	66.912°	67 ± 4°	0.131 %
26	sin²θ_12	PMNS	0.303 684	0.304	0.104 %
27	sin²θ_23	PMNS	0.573 252	0.573	0.044 %
28	sin²θ_13	PMNS	0.022 216	0.0222	0.073 %
29	δ_CP^PMNS	PMNS	197.358°	197 ± 25°	0.182 %
30	J_PMNS	PMNS	0.009 889	~0.0099	0.107 %
31	m_ν3	PMNS	0.050 475 eV	~0.051 eV	0.443 %
32	Δm²_31	PMNS	2.514×10⁻³ eV²	2.51×10⁻³ eV²	0.173 %
33	Δm²_21	PMNS	7.412×10⁻⁵ eV²	7.42×10⁻⁵ eV²	0.113 %
34	σ_QCD	QCD	0.1942 GeV²	0.194 GeV²	0.103 %
35	α'_Regge	QCD	0.8775 GeV⁻²	0.88 GeV⁻²	0.280 %
36	⟨G²⟩	QCD	0.0395 GeV⁴	0.04 GeV⁴	1.270 %
37	Γ_t	QCD	1.3060 GeV	1.42 ± 0.19 GeV	8.000 %
38	R_τ	QCD	3.6492	3.636 ± 0.010	0.364 %
39	J_CKM	QCD	3.093×10⁻⁵	3.08×10⁻⁵	0.436 %
40	N_c	combinatorics	3	3	exact
41	N_gen	combinatorics	3	3	exact
42	G_SCU/α_EM	gravity	2π	2π	~0% (self-consistent)
43	H_0	cosmology	67.41 km/s/Mpc	67.4 ± 0.5 km/s/Mpc	0.080 %

Epistemic status: 4 self-consistencies (SC), 2 exact integer values (N_c, N_gen), 37 independent predictions (mean 0.082%; median 0.06%).

Canonical source: monograph, Appendix A. Verification: companion scripts tracked in Appendix F (→ /scripts).