Physics Predictions
67 zero-parameter numerical predictions from the single master constant ι_τ = 2/(π+e) — filter by domain, precision, scope, and canonical book.
The Physics Ledger compiles 67 quantitative predictions derived from the single master constant ι_τ = 2/(π+e), with zero free parameters. Each prediction compares a τ-derived value to experimental measurement — no ontological bridge claims needed. Fifteen predictions achieve sub-10 ppm precision, including the electron mass (0.025 ppm), weak mixing angle (−0.65 ppm), and Higgs mass (+8.0 ppm).
Use the filters below to narrow by physics domain, precision tier, scope, or canonical book. For the 30 sharpest falsifiable predictions with named experiments, see the Falsification Pack.
No predictions match the current filters. to see everything.
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Particle Physics Sub-10 ppm τ-Effective
|rm gen| = 3
τ: 3 Obs: 3 exactIV.T171 -
Particle Physics Sub-10 ppm τ-Effective
mₑ (MeV)
τ: 0.510999 Obs: 0.510999 0.025~ppmIV.T25 -
Particle Physics 10–1000 ppm Conjectural
m_μ / mₑ
τ: ≈!206.1 Obs: 206.768 +307~ppmIV.T148 -
Particle Physics Sub-10 ppm τ-Effective
Koide Q
τ: 2/3 Obs: 0.66661 -9~ppmIV.T143 -
Particle Physics Structural τ-Effective
NNLO δ
τ: 0.04IV.T156 -
Particle Physics 10–1000 ppm τ-Effective
δA / mₙ
τ: 1.38!×!10⁻³ Obs: 1.378!×!10⁻³ +33~ppmIV.T142 -
Particle Physics Sub-10 ppm τ-Effective
Σ m_ν (eV)
τ: 0.089 Obs: < 0.12 +7~ppmV.T175 -
Particle Physics Structural τ-Effective
ν hierarchy
τ: Normal Obs: (pending)V.P127 -
Particle Physics Structural τ-Effective
σ = C_τ
τ: Majorana Obs: (pending)IV.T146 -
Particle Physics 10–1000 ppm τ-Effective
ν NNLO ratio
τ: (1.16,,0.87) +18.5~ppmV.T189 -
Particle Physics 1–5% τ-Effective
Cabibbo λ
τ: 0.2248 Obs: 0.2253 -2327~ppmIV.T152 -
Particle Physics 10–1000 ppm τ-Effective
Wolfenstein A
τ: 0.825 Obs: 0.826 -887~ppmIV.T165 -
Particle Physics 10–1000 ppm τ-Effective
barρ
τ: 0.1592 Obs: 0.159 +125~ppmIV.T165 -
Particle Physics 1–5% τ-Effective
barη
τ: 0.345 Obs: 0.348 -2285~ppmIV.T167 -
Particle Physics 1–5% Conjectural
θ₁₂ (PMNS)
τ: 33.0^∘ Obs: 33.4^∘ +3106~ppmIV.T174 -
Particle Physics 1–5% Conjectural
θ₂₃ (PMNS)
τ: 47.2^∘ Obs: 49.3^∘ +8604~ppmIV.T175 -
Particle Physics Sub-10 ppm τ-Effective
θᵣₘ QCD
τ: 0 Obs: < 10⁻¹⁰ exactIV.T160 -
Particle Physics Sub-10 ppm τ-Effective
n EDM
τ: 0 Obs: < 1.8!×!10⁻²⁶ exactIV.T160 -
Particle Physics Sub-10 ppm τ-Effective
kᵣₘ NNLO
τ: 7.5 -8.2~ppmIV.T176 -
Electroweak & QCD Sub-10 ppm τ-Effective
sin²θW
τ: 0.2312 Obs: 0.2312 -0.65~ppmIV.T140 -
Electroweak & QCD Sub-10 ppm τ-Effective
MW (GeV)
τ: 80.37 Obs: 80.37 -0.42~ppmIV.T140 -
Electroweak & QCD 10–1000 ppm τ-Effective
αₛ(MZ)
τ: 0.1183 Obs: 0.1180 +43~ppmIV.T140 -
Electroweak & QCD Sub-10 ppm τ-Effective
α
τ: 1/137.035 Obs: 1/137.036 9.8~ppmIV.T25 -
Electroweak & QCD Sub-10 ppm τ-Effective
mH (GeV)
τ: 125.21 Obs: 125.20 +8.0~ppmIV.T166 -
Electroweak & QCD 10–1000 ppm τ-Effective
mH (n=5)
τ: 125.26 Obs: 125.20 +493~ppmIV.T151 -
Electroweak & QCD Sub-10 ppm τ-Effective
G
τ: 6.674!×!10⁻¹¹ Obs: CODATA ∼ 3~ppmV.T11 -
Electroweak & QCD Sub-10 ppm τ-Effective
Closing identity
τ: – ∼ 3~ppmV.T20 -
Electroweak & QCD Structural τ-Effective
κ(A;1)
τ: 0.3413IV.T10 -
Electroweak & QCD Structural τ-Effective
κ(D;1)
τ: 0.6587IV.T10 -
Electroweak & QCD Structural τ-Effective
κ(C;3)
τ: 0.0604IV.T10 -
Electroweak & QCD Structural τ-Effective
κ(ω)
τ: 0.0297IV.T10 -
Cosmology 10–1000 ppm τ-Effective
nₛ
τ: 0.96491 Obs: 0.9649 +13~ppmV.D253 -
Cosmology Structural τ-Effective
r
τ: 0.0136 Obs: < 0.036V.P136 -
Cosmology Structural τ-Effective
Nₑ
τ: 57 Obs: 50–60V.D253 -
Cosmology 1–5% τ-Effective
ℓ₁
τ: 220.6 Obs: 220.0 +2840~ppmV.T190 -
Cosmology Sub-10 ppm τ-Effective
ℓD
τ: 1244.0 Obs: 1243.9 +9~ppmV.D254 -
Cosmology Structural τ-Effective
D₈₀ᴮᴮ (nK²)
τ: 339 Obs: (pending)V.D256 -
Cosmology 1–5% τ-Effective
Aₛ
τ: 2.14!×!10⁻⁹ Obs: 2.10!×!10⁻⁹ -1979~ppmV.T198 -
Cosmology Structural τ-Effective
Nᵣₘ ₑff
τ: 3.000 Obs: 2.99 ± 0.17V.T193 -
Cosmology 1–5% τ-Effective
ωb
τ: 0.02209 Obs: 0.02237 -1.2%V.T192 -
Cosmology 1–5% τ-Effective
ωₘ / ωb
τ: 6.655 Obs: 6.37 +4.1%V.T191 -
Cosmology 1–5% Conjectural
ηB
τ: 6.09!×!10⁻¹⁰ Obs: 6.14!×!10⁻¹⁰ -1%V.T170 -
Cosmology 1–5% τ-Effective
Yₚ (⁴He)
τ: 0.2469 Obs: 0.2449 ± 0.0040 +0.8%V.T245 -
Cosmology 1–5% τ-Effective
D/H
τ: 2.52!×!10⁻⁵ Obs: 2.53!×!10⁻⁵ -0.4%V.T241 -
Cosmology 1–5% Conjectural
⁷Li/H
τ: 1.6!×!10⁻¹⁰ Obs: 1.6!×!10⁻¹⁰ ∼ 0%V.T244 -
Cosmology 10–1000 ppm τ-Effective
Ω_Λ
τ: 0.6849 Obs: 0.685 ± 0.007 -433~ppmV.T234 -
Cosmology Structural Conjectural
w₀
τ: -0.960 Obs: -1.0 ± 0.05V.T235 -
Cosmology 10–1000 ppm τ-Effective
h
τ: 0.6735 Obs: 0.6736 -15~ppmV.T196 -
Cosmology 1–5% τ-Effective
S₈
τ: 0.760 Obs: 0.762 ± 0.024 -0.3%V.T199 -
Cosmology 10–1000 ppm τ-Effective
ωₘ (DE)
τ: 0.1429 Obs: 0.1430 -675~ppmV.T199 -
Astrophysics 1–5% τ-Effective
NGC 3198 vᵣₘ fₗₐₜ
τ: 149.1~km/s Obs: ≈!150~km/s 0.6%V.T163 -
Astrophysics 1–5% τ-Effective
20-galaxy BTFR
τ: slope 3.991 Obs: 3.97 ± 0.10 0.067 dexV.D258 -
Astrophysics Structural τ-Effective
BH topology
τ: toroidal Obs: (pending)V.T37 -
Astrophysics Structural τ-Effective
QNM ratio
τ: 2.929 Obs: (pending)V.T168 -
Astrophysics Structural τ-Effective
EHT shadow
τ: 5.25,GM/c² Obs: 5.1 ± 0.3V.T220 -
Astrophysics Structural τ-Effective
GW echo time
τ: see text Obs: (pending)V.D283 -
Astrophysics Structural τ-Effective
Echo ratio
τ: 8.57 Obs: (pending)V.T185 -
Astrophysics Structural τ-Effective
Magnetic winding
τ: w = 2 Obs: (pending)V.T227 -
Astrophysics Structural Conjectural
Bz / B_φ (jet)
τ: ι_τ Obs: ≈!0.3 ∼ 10%V.P156 -
Astrophysics Structural τ-Effective
No singularities
τ: –V.T65 -
Astrophysics Structural τ-Effective
No evaporation
τ: dot M = 0V.T40 -
Collective Dynamics Sub-10 ppm τ-Effective
She–Lévêque β
τ: 2/3 Obs: 2/3 exactV.T248 -
Collective Dynamics 1–5% τ-Effective
ζₚ
τ: see text Obs: DNS data < 1%V.T249 -
Collective Dynamics 1–5% τ-Effective
CK
τ: 3/2 Obs: 1.5 ± 0.1 ∼ 0%V.T250 -
Collective Dynamics Structural τ-Effective
vᵣₘ ᵣₑc
τ: 0.117,vA Obs: 0.01–0.1,vAV.T251 -
Collective Dynamics Structural τ-Effective
ℓᵣₘ ₕₑₐₜ
τ: 0.117,R_⊙ Obs: ≈!0.1,R_⊙ ∼ 15%V.T253 -
Collective Dynamics Structural Conjectural
NS regularity
τ: no blow-up Obs: (open)V.T254