Open instrument · Unfrozen 28 September 2026 · Not a fit · Not a p-value
E47 Electroweak Identities
Three ratios from a 47-dimensional kernel on a 125-dimensional carrier. The only dimensionful input is $G_F$.
$$K=(C-6I)(C-30I),\quad \dim E_{47}=47,\quad \Omega_c=47/125$$
$$m_Z^{(0)}=v\Omega_c,\qquad \frac{m_W}{m_Z}=\sqrt{\frac{10}{13}},\qquad \frac{m_t}{m_H}=1+\Omega_c=\frac{172}{125}$$
Headline residuals
| Identity | E47 | Measured | Residual |
|---|---|---|---|
| $m_Z/v=\Omega_c$ | 0.376 | 0.370352 | +1.525% |
| $m_W/m_Z$ | 0.877058 | 0.881357 | −0.488% |
| $m_t/m_H$ | 1.376 | 1.378355 | −0.171% |
From $G_F=1.1663788\times10^{-5}\,\mathrm{GeV}^{-2}$:
$v=246.21964024\,\mathrm{GeV}$,
$m_Z^{(0)}=92.57858473\,\mathrm{GeV}$,
$m_W^{(0)}=81.19679015\,\mathrm{GeV}$.
Audit, not the claim
The integer-$246$ fifteen-row ladder is recovered and reproducible. It is not $I_{\mathrm{EW}}$.
$\mathrm{median}|\delta|=0.33\%$, $\mathrm{mean}|\delta|=0.56\%$, $\mathrm{RMS}(\delta)=0.77\%$, $\max|\delta|=1.74\%$. $T_{\mathrm{obs}}=0.007692169\neq p_{\mathrm{LEE}}$.