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Derived quantities

These are outputs of the substrate, not fitted inputs. The short logic is from the current claims record. The full step-by-step derivation pages will be written from the Word file when you send it. The live calculator will sit on the same chain.

Speed of light c

c is the propagation speed of substrate disturbances, c = √(K_s / ρ_s). Not a property of light alone.

Papers: P17, P23

Substrate stiffness K_s

K_s = ρ_s c² = 5.30 × 10⁻¹⁰ Pa.

Papers: P17, P18

Fine-structure constant α

1/137.037 from substrate rotational mode geometry. Measured 1/137.036.

Papers: P19, P25, P66

Reduced Planck constant ħ

ħ from condensation geometry. Agreement at 0.0001% against CODATA r_p.

Papers: P19, P27, P54

Planck constant h

Follows from ħ. Derived in the Planck paper, not inserted as an input.

Papers: P27

Weinberg angle sin²θ_W

1/4 at condensation scale → 0.2312 at m_Z. Measured 0.2312.

Papers: P19, P25

Strong coupling α_s

0.120 from 3-core topology. Measured 0.1179 at m_Z.

Papers: P19, P25

W boson mass

m_W = 80.4 GeV from ρ_s. Measured 80.4 GeV.

Papers: P19, P25

Z boson mass

m_Z = m_W / cos θ_W = 91.24 GeV. Measured 91.19 GeV.

Papers: P19, P25

Higgs mass

m_H = √(m_t · m_Z) = 125.51 GeV. Measured 125.25 GeV.

Papers: P19, P25

Electron mass

m_e = E_unit / (6π⁴) = 0.511009 MeV. Measured 0.511 MeV.

Papers: P16, P25

Proton radius

r_p = (1 + 2/√3) · r_q = 0.8414 fm. Measured 0.8414 fm.

Papers: P16, P25

Charged lepton masses

m_e, m_μ, m_τ from one angle θ = (2π+Q)/3 with Q = 2/3.

Papers: P25, P57

Time dilation

SR and GR dilation are one mechanism: accumulated substrate state evolution.

Papers: P22

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